Virginia Polytechnic Institute and State University Venus ...cdhall/courses/aoe4065s/venus.pdf ·...

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Virginia Polytechnic Institute and State University Venus Sample Return Space Design Team May 4, 2001 For Submission to: 2000/2001 AIAA Foundation Undergraduate Space Design Competition Dr. Christopher Hall Team Members: Giuseppe Angelone Victor Collazo-Perez Greg Evans Gregory Fertig Kathleen Hale Laird-Philip Lewis Amy Spratley James St. Amand Andrew Wallace

Transcript of Virginia Polytechnic Institute and State University Venus ...cdhall/courses/aoe4065s/venus.pdf ·...

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Virginia Polytechnic Institute and State University

Venus Sample Return Space Design Team

May 4, 2001

For Submission to: 2000/2001 AIAA Foundation Undergraduate Space Design Competition

Dr. Christopher Hall

Team Members:

Giuseppe Angelone Victor Collazo-Perez

Greg Evans Gregory Fertig Kathleen Hale

Laird-Philip Lewis Amy Spratley

James St. Amand Andrew Wallace

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Table of Contents List of Figures.................................................................................................................... iv List of Tables ..................................................................................................................... vi List of symbols ................................................................................................................. vii Chapter 1 - Introduction.......................................................................................................1

1.1 - Mission Summary .............................................................................................................................. 1 1.2 - Venus Science Information................................................................................................................ 1

Chapter 2 - Mission Concepts..............................................................................................3 2.1 - Constrains .......................................................................................................................................... 3 2.2 - Propulsion Systems............................................................................................................................ 3

2.2.1 - Orbiter ........................................................................................................................................ 3 2.2.2 - Venus Insertion Package ............................................................................................................ 3 2.2.3 - Venus Ascent Vehicle ................................................................................................................ 3 2.2.4 - Earth Insertion Package.............................................................................................................. 4

2.3 - Entry Systems .................................................................................................................................... 4 2.3.1 - Venus Entry................................................................................................................................ 4 2.3.2 - Earth Entry ................................................................................................................................. 4

2.4 - Attitude Determination and Control Systems .................................................................................... 4 2.5 - Thermal.............................................................................................................................................. 5

2.5.1 - Orbiter ........................................................................................................................................ 5 2.5.2 - Venus Lander ............................................................................................................................. 5

2.6 - Mechanisms ....................................................................................................................................... 5 2.6.1 - Orbiter and Earth Entry Vehicle................................................................................................. 5 2.6.2 - Venus Lander ............................................................................................................................. 6

2.7 - Computer / Communications ............................................................................................................. 7 2.7.1 - Computer.................................................................................................................................... 7 2.7.2 - Communications ........................................................................................................................ 7

2.8 - Rendezvous........................................................................................................................................ 7 2.9 - Power ................................................................................................................................................. 8

Chapter 3 - Main Orbiter Bus ............................................................................................11 3.1 - Configuration ................................................................................................................................... 11

3.1.1 - Heliogyro and Support Structure.............................................................................................. 11 3.1.2 - Main Bus .................................................................................................................................. 13 3.1.3 - Aeroshell .................................................................................................................................. 14

3.2 - Thermal............................................................................................................................................ 15 3.3 - Attitude Determination and Control System.................................................................................... 17

3.3.1 - Attitude Determination............................................................................................................. 17 3.3.2 - Control Systems ....................................................................................................................... 17

3.4 - Power ............................................................................................................................................... 22 3.5 - Computer / Communication............................................................................................................. 23

3.5.1 - Computer.................................................................................................................................. 23 3.5.2 - Communications ...................................................................................................................... 24

3.6 - Propulsion ........................................................................................................................................ 24 3.6.1 - Solar Sailing Basics.................................................................................................................. 25 3.6.2 - Equations of Motion................................................................................................................. 26 3.6.3 - Interplanetary Travel ................................................................................................................ 28 3.6.4 - Travel Around Venus ............................................................................................................... 30 3.6.5 - Future Analysis ........................................................................................................................ 32

3.7 - Mechanisms ..................................................................................................................................... 33 3.7.1 - Lightband ................................................................................................................................. 33 3.7.2 - Solar Sail Blade Thrusters........................................................................................................ 33 3.7.3 - Communications Dish Pointing Mechanism ............................................................................ 33 3.7.4 - Blade Rotation Motors ............................................................................................................. 33

Chapter 4 - Venus Lander..................................................................................................35

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4.1 - Configuration ................................................................................................................................... 35 4.2 - Sizing Methodology......................................................................................................................... 36

4.2.1 - Helium tanks ............................................................................................................................ 36 4.2.2 - Titanium Platform .................................................................................................................... 38 4.2.3 - Landing Legs............................................................................................................................ 38 4.2.4 - Center of Mass ......................................................................................................................... 39

4.3 - Thermal............................................................................................................................................ 40 4.4 - Attitude Determination and Control Systems .................................................................................. 42 4.5 - Power ............................................................................................................................................... 43 4.6 - Computer ......................................................................................................................................... 44

4.6.1 - Venus Lander Computer .......................................................................................................... 44 4.6.2 - Sample Capsule Computer ....................................................................................................... 44

4.7 - Mechanisms ..................................................................................................................................... 44 4.7.1 - Ultrasonic Drill/Corer .............................................................................................................. 44 4.7.2 - Mechanical Arm and Scoop ..................................................................................................... 45 4.7.3 - Sample Containers ................................................................................................................... 46

4.8 - Scientific Instrumentation................................................................................................................ 47 4.8.1 - Variometer ............................................................................................................................... 47 4.8.2 - Wind Vane ............................................................................................................................... 47 4.8.3 - Panoramic Micro-Imager ......................................................................................................... 47

4.9 - Venus Entry and Descent................................................................................................................. 47 4.9.1 - Ballute Introduction ................................................................................................................. 47 4.9.2 - Shape........................................................................................................................................ 48 4.9.3 - Materials................................................................................................................................... 49 4.9.4 - Sizing ....................................................................................................................................... 51 4.9.5 - Trajectory ................................................................................................................................. 52 4.9.6 - Post-Entry Descent................................................................................................................... 55

4.10 - Venus Ascent ................................................................................................................................. 57 4.10.1 - Venus Ascent Vehicle (Balloon)............................................................................................ 57

4.10.1.a - Material Selection........................................................................................................... 57 4.10.1.b - Shape and Size................................................................................................................ 60 4.10.1.c - Balloon Ascent ............................................................................................................... 62

4.10.2 - Venus Ascent Vehicle (Rocket) ............................................................................................. 64 Chapter 5 - Earth Entry Vehicle ........................................................................................72

5.1 - Configuration ................................................................................................................................... 72 5.1.1 - Sample Collector ...................................................................................................................... 72

5.2 - Thermal............................................................................................................................................ 73 5.3 - Attitude Determination and Control Systems .................................................................................. 73 5.4 - Power ............................................................................................................................................... 74 5.5 - Computer ......................................................................................................................................... 74 5.6 - Propulsion ........................................................................................................................................ 74 5.7 - Earth Entry and Descent .................................................................................................................. 75 5.8 - Sample Analysis .............................................................................................................................. 76

Chapter 6 - Cost Analysis ..................................................................................................77 References..........................................................................................................................79

Appendix A – Mission Timeline .............................................................................................................. 83 Appendix B – Venus Lander Schematic .................................................................................................. 84 Appendix C – Orbiter Schematic ............................................................................................................. 85

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List of Figures

Figure 1 – Blade Taper ................................................................................................................................. 11 Figure 2 - Stowed Orbiter Configuration ...................................................................................................... 11 Figure 3 - Hexagonal Ring Structure ............................................................................................................ 12 Figure 4 - Blade Arm Deployment Procedure .............................................................................................. 12 Figure 5 - Intermediate Orbiter Deployment................................................................................................. 13 Figure 6 - Deployed Orbiter.......................................................................................................................... 13 Figure 7 - Venus Lander Aeroshell ............................................................................................................... 14 Figure 8 – Hypersonic Shock Wave Profile.................................................................................................. 15 Figure 9 - Hypersonic Shock Wave Through Ballute ................................................................................... 15 Figure 10 - Multi-Layered Insulation Cross-Section .................................................................................... 16 Figure 11 - Radial (Lengthwise) Stress Analysis.......................................................................................... 19 Figure 12 - Tensile Stress Along Blade Chord ............................................................................................. 19 Figure 13 - Coning Angle versus Position Along Length of Blade .............................................................. 20 Figure 14 - Blade Shape versus Position Along Length of Blade ................................................................. 21 Figure 15 - Required Torque versus Pitch Angle.......................................................................................... 22 Figure 16 - RHPPC Mechanical Concept (Ref #9) ....................................................................................... 24 Figure 17 - System before photon strike ....................................................................................................... 25 Figure 18 - System after photon strike.......................................................................................................... 25 Figure 19 - Polar Coordinates Defined ......................................................................................................... 26 Figure 20 - Mean thrust for travel to Venus.................................................................................................. 28 Figure 21 - Travel Trajectory From Earth to Venus at Minimum Travel Time Conditions.......................... 29 Figure 22 - Travel Trajectory From Venus to Earth at Minimum Travel Time Conditions.......................... 29 Figure 23 - Overview of Venus Capture ....................................................................................................... 30 Figure 24 - Venus Capture Close-up............................................................................................................. 31 Figure 25 - Venus Escape Trajectory............................................................................................................ 32 Figure 26 - Deployed Venus Lander ............................................................................................................. 35 Figure 27 - Stowed Venus Lander ................................................................................................................ 36 Figure 28 - Shock Absorber Deployed and Stowed Configurations ............................................................. 36 Figure 29 - Venus Lander Main Platform ..................................................................................................... 38 Figure 30 - Venus Lander Leg Deployed Configuration .............................................................................. 39 Figure 31 - Venus Lander Center of Mass Layout........................................................................................ 40 Figure 32 - Venus Lander Thermal Shields .................................................................................................. 40 Figure 33 - Venus Thermal Shielding........................................................................................................... 41 Figure 34 - Venus Shielding Heat Transfer versus Time.............................................................................. 42 Figure 35 - Thermal Conductivity versus Temperature ................................................................................ 42 Figure 36 - Close up of the Ultrasonic Drill/Corer ....................................................................................... 45 Figure 37 - Attached Aeroshell (Ref #18)..................................................................................................... 48 Figure 38 - Torroidal Ballute and Aeroshell ................................................................................................. 49 Figure 39 - Cross Section of Torroidal Ballute ............................................................................................. 49 Figure 40 - Ballute with Final Dimensions ................................................................................................... 51 Figure 41 - Venus Entry Trajectory .............................................................................................................. 53 Figure 42 - Entry Sensitivity......................................................................................................................... 54 Figure 43 - Entry Deceleration and Density vs. Altitude .............................................................................. 54 Figure 44 - Velocity and Density verersus. Altitude..................................................................................... 55 Figure 45 - Descent Altitude vs. Time .......................................................................................................... 56 Figure 46 - Descent Velocity vs. Time ......................................................................................................... 56 Figure 47 - Chemical structure of PBO (Ref #42) ........................................................................................ 58 Figure 48 - Strength and Modulus vs. Temperature (Smith) ........................................................................ 58 Figure 49 - Helium Permeability of Several Possible Balloon Materials...................................................... 59 Figure 50 - Balloon Seam (from 99-3858).................................................................................................... 60 Figure 51 - Balloon with both payload attachments ..................................................................................... 62 Figure 52 - Lifting Gas Analysis................................................................................................................... 63

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Figure 53 - Ascent Altitude vs. Time............................................................................................................ 64 Figure 54 - Venus Ascent Vehicle Concept .................................................................................................. 67 Figure 55 - Venus Ascent Vehicle Dimensions ............................................................................................ 68 Figure 56 - Venus Ascent Vehicle Flight Path Profile .................................................................................. 69 Figure 57 - Venus Ascent Vehicle Launch Profile ....................................................................................... 70 Figure 58 - Venus Ascent Vehicle Altitude versus Time Plot ...................................................................... 71 Figure 59 - Orbiter, EEV, with Extended Cone ............................................................................................ 72 Figure 60 - DSBC Computer ........................................................................................................................ 74 Figure 61 - Orbiter and Earth Entry Vehicle Separation............................................................................... 75 Figure 62 - Earth Entry Vehicle with Descent Parachutes ............................................................................ 76

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List of Tables Table 1 - Attitude Determination and Control System Summary ................................................................... 5 Table 2 - Orbiter Mechanisms ........................................................................................................................ 6 Table 3 - Lander Instruments .......................................................................................................................... 6 Table 4 - Power Requirements for Spacecraft Components ........................................................................... 9 Table 5 - Summary of Power Sources........................................................................................................... 10 Table 6 - Temperature Ranges for Sensitive Components (Ref #39) ........................................................... 16 Table 7 - Orbiter Batteries ............................................................................................................................ 22 Table 8 - RHPPC Feature Summary (Ref #9)............................................................................................... 23 Table 9 - Radiation Hardness (Ref #9) ......................................................................................................... 24 Table 10 - Helium Tank Geometry and Mass Combinations........................................................................ 37 Table 11 - Venus Lander Batteries (Ref #32) ............................................................................................... 43 Table 12 - Ballute Film Materials (Ref #42)................................................................................................. 50 Table 13 - Ballute Fiber Materials (Ref #42)................................................................................................ 50 Table 14 - Tensile Stress Analysis of Kapton and PBO (Ref #22) ............................................................... 50 Table 15 - Final Ballute Materials and Masses ............................................................................................. 52 Table 16 - Balloon material comparison (Ref #35)...................................................................................... 57 Table 17 - Possible Corrosive Protection Materials..................................................................................... 60 Table 18 - Initial Balloon Sizing Analysis .................................................................................................... 61 Table 19 - Final Balloon Specifications........................................................................................................ 63 Table 20 - Propellant Performance Characteristics (Ref #17 p353).............................................................. 65 Table 21 - Material Properties of Graphite (Ref #17 p310) .......................................................................... 65 Table 22 - Venus Ascent Vehicle Stage One Configuration......................................................................... 66 Table 23 - Venus Ascent Vehicle Stage Two Configuration ........................................................................ 67 Table 24 - Apparent Thermal Conductivity (Ref #41).................................................................................. 73 Table 25 - Performance Characteristics of Propulsion Systems (Ref #19 p692) .......................................... 75 Table 26 - Component Costs......................................................................................................................... 78 Table 27 - Fabrication Costs ......................................................................................................................... 78

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List of symbols Variable Description

As Cross-sectional Area c Speed of Light (3×108 m/s)

CD Drag Coefficient cg Center of Gravity cpa Aerodynamic Center cps Center of Solar Pressure ∆Τ Total transfer time ∆V Change in Velocity Fs Solar constant (1,367 W/m2) g Acceleration due to gravity g0 Acceleration due to gravity on Earth’s surface (9.8 m/s2) γ Flight path angle h Angular Momentum Isp Specific Impulse µ Gravitational constant P Orbital Period p Orbital Parameter q Reflectance Factor Atmospheric Density R Orbital Radius

Rearth Radius of Earth Rvenus Radius of Venus Maximum Deviation of Z-axis from Local Vertical θA Allowable Motion t Time sp Maximum Solar Radiation Pressure Torque V Velocity Ve Exit velocity

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Chapter 1 - Introduction

1.1 - Mission Summary

The mission to Venus involves a complex set of equipment and maneuvers. A Delta IV Medium Plus (5m)

lifter rocket is used to send the Venus spacecraft out of the Earth’s influence. A heliogyro solar sail

transports the spacecraft to Venus. The twelve solar sail blades deploy once the Venus spacecraft is

separated from the Delta IV upper stage. This heliogyro device is a propulsion system that allows the mass

of the spacecraft to be significantly lower than a craft using chemical propulsion. The heliogyro is used to

maneuver the spacecraft to rendezvous with Venus 452 days after leaving Earth.

The orbiter maneuvers into a Venus orbit with an 800-km periapsis and 275,000 km apoapsis. Once the

orbiter reaches this orbit the lander, inside its aeroshell, is detached and sent into Venus’s atmosphere. The

lander enters Venus’s atmosphere and deploys a ballute to slow its descent. Once the lander reaches an

altitude of about 70-km the ballute detaches with the upper aeroshell and releases a balloon. The balloon is

used to slow the lander as it descends to the surface.

During descent, atmospheric samples are taken and wind direction consistency is recorded. An ultrasonic

corer and mechanical arm are used to acquire a two-kilogram surface sample once the lander reaches the

surface. The balloon then lifts a rocket containing the sample to an altitude of about 61-km. The rocket

launches and transports the sample into an 800-km orbit. The orbiter collects the sample and the spacecraft

returns to Earth.

The travel time from Venus to Earth is approximately 119 days, once again using the heliogyro solar sail for

propulsion. The Earth Entry Vehicle (EEV) is detached and sent into Earth’s atmosphere along with the

sample and collected data. The sample lands in the Pacific Ocean and is retrieved for analysis.

See Appendix A for timeline.

1.2 - Venus Science Information

The most challenging obstacle to overcome in a Venus surface mission is preparing for the planet’s

environmental conditions. The Venusian environment is among the harshest in the solar system. The

atmosphere is 96% carbon dioxide, 3.5% nitrogen, and 0.5% trace compounds, including carbon monoxide,

sulfuric acid, hydrochloric acid, and hydrofluoric acid. The high amount of carbon dioxide is a direct result

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of the greenhouse effect prevalent on the planet. This greenhouse effect is due to the planet’s close

proximity to the sun, a distance of roughly 0.72 AU. The surface temperature is an inhospitable 750 K and

the surface pressure about 90 atmospheres. Atmospheric density at the surface is one tenth that of water.

The surface atmospheric density of Earth is one thousandth that of water by comparison.

Another characteristic of the Venus environment is a layer of sulfuric acid found in the upper atmosphere.

This layer ranges from about 50 km to 60 km above the surface. Other cloud layers range from altitudes of

48 km to 68 km, with a layer of haze down to roughly 33 km. The atmosphere is clear beneath the haze

layer. Jet streams in the upper atmosphere travel with a speed of 85 m/s, circling the planet once every four

days. The motion of these jet streams is uniform resulting in little or no circulation. Winds on the surface

are much calmer, with speeds less than 3 m/s.

A successful Venus landing craft must be designed to withstand all elements of the Venus environment.

Previous missions such as Venera and Vega found that surviving for a significant length of time in such an

environment is a daunting task.

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Chapter 2 - Mission Concepts

2.1 - Constrains

The mission constraints detailed by the AIAA competition Request for Proposal (RFP) include a minimum

sample return mass of 1.0 kg, the use of a US launch vehicle, and a budget limitation of 650 million dollars.

The mass of our design is directly limited by the US launch vehicle constraint coupled with the minimal

budgetary allowance. US launch vehicles are among the most expensive in the world, averaging between

100 and 200 million dollars per launch. The use of multiple launches is not practical due to this high cost.

The use of only one launch for this mission limits the mass of the entire design. Venus introduces its own

constraints through the harsh conditions on its surface. Temperatures exceeding 700 K and pressures up to

9 Earth atmospheres add a great deal of design complexity and structural mass to any system hoping to

survive on the Venusian surface.

2.2 - Propulsion Systems

2.2.1 - Orbiter

The orbiter’s propulsion system consists of a heliogyro solar sail design with counter spinning blade

segments. Each spinning segment has six blades attached to it. This counter spinning design removes the

angular momentum vector from the spacecraft to allow for steering and control through manipulation of the

sail blades. The heliogyro serves as the main propulsion system for the interplanetary, planetary capture,

and rendezvous portions of the mission. This concept requires no propellant mass to be taken on the trip to

and from Venus and allows for flexibility of launch dates and travel times.

2.2.2 - Venus Insertion Package

The Venus Insertion Package (VIP) uses a hydrazine and fluorine liquid propulsion system for de-orbiting

and controlling the Venus Lander during approach. The assumed Isp for the fuel to oxidizer mixture is about

425 seconds (Ref #19 p.692). Two thrusters and two spherical tanks containing the fuel and oxidizer for

each thruster are located on each axis. The VIP is capable of providing a 25 m/s ∆V along each axis for

attitude control and a 211 m/s ∆V along one axis for de-orbiting. The VIP separates from the Venus Lander

prior to ballute deployment.

2.2.3 - Venus Ascent Vehicle

The Venus Ascent Vehicle (VAV) is a two-stage solid propellant rocket. The propellant has an assumed Isp

of 290 seconds. The rocket is constructed from a graphite composite to maximize performance and

minimize mass. The first stage is launched from a cylindrical tank suspended from a balloon at an altitude

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of around 61 km. The rocket thrusts vertically relative to the surface for five seconds and then begins a

gravity turn with an initial angle of 72 degrees. The first stage then burns for 75 seconds. The second stage

coasts along its trajectory for 530 seconds before beginning the final burn of 15 seconds. The final burn

places the sample capsule in an 800 km circular orbit around Venus.

2.2.4 - Earth Insertion Package

The Earth Insertion Package (EIP) uses the same basic system as the VIP. The insertion package is a

hydrazine and fluorine liquid propulsion system with two thrusters for each axis and two tanks for each

thruster. The EIP is designed to provide a total ∆V of 50 m/s for each axis and 1,500 m/s ∆V along one

axis for de-orbiting. The EEV is released from a 1,000,000-km orbit and requires more ∆V for attitude

control and de-orbiting. The EIP remains attached until it is jettisoned prior to Earth entry.

2.3 - Entry Systems

2.3.1 - Venus Entry

The Venus entry phase utilizes a ballute during atmospheric entry. The ballute deploys when the VIP is

released and the Venus Lander enters the appreciable atmosphere at an altitude of 180 km. The ballute

slows the lander to approximately 10 m/s at an altitude of 70 km. The upper aeroshell detaches from the

lower aeroshell, and the balloon is extended by this separation. The ballute and upper aeroshell remain

attached to the top of the balloon while the balloon inflates. Once the balloon is fully inflated it separates

from the aeroshell and the ballute and continues to descend. A few kilometers above the surface of Venus

the lower section of the aeroshell disconnects, allowing the legs of the lander to deploy.

2.3.2 - Earth Entry

The EEV is modeled after NASA and JPL’s Stardust Sample Return Capsule (Ref #23). The EIP thrusters

provide the ∆V to de-orbit and maintain the orientation of the EEV during Earth approach. The EEV enters

the atmosphere and free falls until drogue parachutes are deployed to slow it down so the main parachutes

can be deployed. A radio locator beacon is activated and the EEV continues to descend on the main

parachutes for a landing in the Pacific Ocean.

2.4 - Attitude Determination and Control Systems

The Attitude Determination and Control System (ADCS), like the power system, is divided into sections

corresponding to the three main segments of the spacecraft: the orbiter, the Venus Lander, and the EEV.

Each segment has its own ADCS because the segments operate separately from each other at various times

during the mission. The orbiter’s ADCS is the only one that is operational throughout the entire course of

the mission. ADCS for the other segments become operational as necessary. A summary of the

determination and control methods for each segment is provided in Table 1.

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Table 1 - Attitude Determination and Control System Summary

SPACECRAFT SEGMENT: ADCS COMPONENTS: MANUFACTURER: Orbiter: Sun sensors Ball Aerospace Star trackers Ball Aerospace Venus Lander: Hydrazine thrusters - Sun sensors Ball Aerospace Star trackers Ball Aerospace Earth Return Vehicle: Hydrazine thrusters - Sun sensors Ball Aerospace Horizon sensors Ithaco, Inc.

2.5 - Thermal

2.5.1 - Orbiter

The spacecraft’s thermal system tends the craft towards cold rather than hot. The system is designed this

way in order to prevent the components from overheating while in Venus’s orbit. A standard white paint

coating protects the antennas by increasing the reflection of solar radiation. While in transit to Venus and

back to Earth, cold sensitive components’ temperatures are regulated using Kapton heaters and multi-

layered insulation blankets. (Ref #2)

2.5.2 - Venus Lander

Thermal shielding is used for the rocket and instrument cylinders, and the sample container. The system is

based on a Multi-Layer Insulation (MLI) design. The outside layer is Ti-6AI-4V Titanium because of its

excellent strength to mass ratio, and its ability to tolerate the sulfuric acid found in the clouds of Venus.

The innermost layer is Type-304 stainless steel. A Fiberglass insulation and Xenon gas layer lies between

the inner and outer layers. The thickness of each layer is designed to withstand the atmospheric pressures

and temperatures of Venus.

2.6 - Mechanisms

The tables below describe the mechanisms used by the orbiter, the Earth return vehicle, and the Venus

lander. A brief description of each device, where each component is located, and the mass and the power

required by each is listed. More details are given in Sections 3.8, 4.7, and 4.8.

2.6.1 - Orbiter and Earth Entry Vehicle

Table 2 - Orbiter Mechanisms

Mechanism Details Location Mass Power Lightband separation mechanism

Detaches the Earth entry vehicle (EEV) from the main orbiter

Interface between orbiter bus and EEV; Interface between

1.363 kg 35 W

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bus; Detaches the Venus lander from the EEV

Venus lander and EEV

Thrusters Creates torque used to deploy solar sail fins

Two sets, one on each fin base

? ?

Sail fin motors Allows the fins to rotate 180 degrees

At end of each fin 162 g 960

Magnetic bearings Allows the fin bases to rotate with no friction

On beams connecting the two solar sail fin bases

0

EEV sample collection cone deployment mechanism

Spring loaded telescoping mechanism to deploy cone from folded position

On end of EEV next to Venus lander

310 kg 0

Sample capture "claws"

Locks sample sphere into EEV

Inside EEV 10 kg 0

Sail fin base separation mechanism

Telescoping spring separates fin bases with enough room for fins to rotate 180 degrees without interference

Between two solar sail fin bases

49.2 kg 0

Communications dish pointing mechanism

Allows dish to rotate and point in all directions

Orbiter main bus ? ?

2.6.2 - Venus Lander

Table 3 - Lander Instruments

Instrument Details Location Dimensions Mass Power

Mechanical Arm

Graphite epoxy arm with tungsten steel lipped scoop attached to the end

On side of sample

cylinder

0.5” inner-diameter hollow tubes, two 6 ft segments

135 g

25 W max

Corer Designed and manufactured by Cybersonics Inc.

On bottom of sample cylinder

15 cm long stem × 2.67 cm inner-diameter

1000 W

Variometer Measures magnetic Fields, or lack thereof

Within sample cylinder

500 g 1 W

Wind Vane Records consistency of wind direction

Top of lander 45 cm tall 250 g 2 W

Panoramic Micro- Imager

Acquires images of Venusian surface and of sample collection

Within sample cylinder

500 g 4 W

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Radar Altimeter Measures altitude Inside rocket payload

container 4 kg 10 W

2.7 - Computer / Communications

2.7.1 - Computer

Many different versatile computer systems are required for this mission. The orbiter, Venus Lander, EEV,

and both insertion packages require computer systems to accomplish their necessary tasks. Each computer

system is capable of carrying out operations autonomously.

2.7.2 - Communications

The communication system for this spacecraft is designed around the fact that the majority of the mission is

completed autonomously. It is possible to update orbiter data to ensure that the attitude determination

sensors are as accurate as possible at all times. A steerable High Gain Antenna (HGA) is used to transfer

data at the maximum rate while allowing the spacecraft to remain on course during this transfer. Digital

cameras and omni-directional S-band antennas are used during the rendezvous phase of the mission. A

radio locator beacon is used on the EEV for sample location. NASA’s Deep Space Network (DSN) is used

to monitor the spacecraft during all phases of the mission.

2.8 - Rendezvous

The rendezvous phase is key to mission success. The orbiter actively tracks and intercepts the Venus

Sample Capsule (VSC) during this phase. Success of the rendezvous phase depends on insertion of the

VSC into close proximity of the orbiter. The VAV achieves its orbit and releases the VSC, which activates

the S-band radio beacon.

The orbiter, which is trailing several kilometers behind the VSC, locates the signal and closes in until the

VSC is within range of the digital cameras. The optical range of the cameras is approximately 100 m. The

cameras determine relative range, bearing, and range rate between the orbiter and the VSC. The orbiter

closes in on the VSC and catches it in the rendezvous cone. The VSC travels down the cone into the EEV

where three clamping mechanisms hold it in place. (Ref. #30)

2.9 - Power

The spacecraft power subsystem is divided into the following components: the orbiter, Venus insertion,

Venus Lander, Venus ascent, Earth insertion and Earth entry systems, each with its own power supply.

Each system has its own power requirements and must operate separately at various times during the

mission. Table 4 details the power budget for each segment of the spacecraft.

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Table 4 - Power Requirements for Spacecraft Components

SPACECRAFT COMPONENT: POWER REQUIRED (Watts): LANDER: Total Power: 1043 Computer 15 Drill 1000 Arm 25 Deployment Mechanisms 5 Sensors 7 Sample Retrieval/Storage 5 VENUS THRUSTER PACKAGE: Total Power: 83 ADCS Sensors 8 Computer 15 Thrusters 60 ORBITER: Total Power: 1120 Computer 15 Blade Motors 960 Thrusters 5 Antenna/Communications 60 Rendezvous Package 65 ADCS Sensors 15 ERV: Total Power: 25 Locator Beacon 5 Parachute Deployment Mechanism 5 Computer 15 ERV THRUSTER PACKAGE: Total Power: 83 ADCS Sensors 8 Computer 15 Thrusters 60 VENUS ROCKET: Total Power: 25 Computer 15 ADCS Sensors 8 Ignition 2

Several variables affect the component selection and sizing of the power systems. Time is a major factor in

designing the power systems because the lifetime of the various components dictates whether or not

rechargeable batteries are necessary. Consideration is also given to the orbits maintained by the orbiter

segment because eclipse time about both Earth and Venus will affect the sizing of the rechargeable

batteries. Power requirements also vary with time depending on what components are operating and

whether or not they are constantly operating at peak power levels. Consideration is also given to the orbits

maintained by the orbiter segment, since eclipse time about both Earth and Venus will affect the sizing of

the rechargeable batteries. The individual power systems consist of various combinations of primary

batteries, secondary (rechargeable) batteries, and solar panels. Table 5 provides a summary of the power

sources used by each spacecraft segment.

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Table 5 - Summary of Power Sources

SPACECRAFT SEGMENT: POWER SUPPLY: MANUFACTURER: Venus Lander: 15 Li-Ion primary batteries Saft Battery Company Venus Thruster Package: Li-Ion primary batteries Saft Battery Company Venus Rocket: Li-Ion primary batteries Saft Battery Company Orbiter: GaAs solar cells Spectrolab, Inc. NiCd rechargeable batteries Sanyo Batteries ERV Lander: 1 Li-Ion primary battery Saft Battery Company ERV Thruster Package: Li-Ion primary batteries Saft Battery Company

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Chapter 3 - Main Orbiter Bus

3.1 - Configuration

3.1.1 - Heliogyro and Support Structure

The twelve blades of the heliogyro are made of a Kapton film approximately 2µm thick. The Kapton is

coated with a 0.5-µm thick layer of aluminum with a reflectivity of about 0.88 to 0.9. Each blade has a

length of 1,000 m and a width of 4 m. The blades taper to a width of 1 m at the root. This taper occurs

over a length of 4.45 m. Figure 1 shows a close up of a blade root.

Figure 1 – Blade Taper

The blades are set in a staggered configuration with two sets of six blades on each support ring. Figure 2

shows the staggered blade configuration. The overall length of the orbiter is 8.22 m in the stowed

configuration.

Figure 2 - Stowed Orbiter Configuration

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The blades are connected to a hollow hexagonal support ring with a point-to-point diameter of 4.0 m. This

ring has a rectangular cross-section with a wall thickness of 0.635 cm, a depth of 0.3048 m and a width of

0.2 m. The panels of the ring structure are constructed of iso-grid aluminum. The center section of the

hexagonal ring structure is cut out to reduce the mass of the orbiter. Figure 3 shows the hexagonal support

ring.

Figure 3 - Hexagonal Ring Structure

The upper heliogyro support ring is rotated 3.5 degrees to ensure that the upper and lower blades do not

interfere with each other in their stowed configuration. The upper support ring is supported by aluminum

bars, which are used to stabilize the ring structure and carry the launch loads. The blades are connected to

the support rings by a blade arm. The blade arm is composed of a 1.0 m bar that is pinned to the center the

blade root. The blade arm is rotated and locked into the deployed position. Figure 4 illustrates the blade

arm deployment procedure.

Figure 4 - Blade Arm Deployment Procedure

The blade arms are connected to single-phase DC brushless motors within the heliogyro support ring.

These motors are used to rotate the blades to any angle desired. The main bus computer is used to calculate

this angle, which varies for each individual blade throughout the mission lifetime.

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The blade deployment is separated into three stages: stowed, intermediate, and fully deployed. The

intermediate stage involves the extension of the upper heliogyro support structure. The blade arms then

rotated 90 degrees outward. The blades are unfurled and then rotated 90 degrees by the blade motors to

complete deployment. Permanent magnetic bearings are used to allow a frictionless rotation in both

support rings. Figures 5 and 6 show the intermediate and fully deployed stages respectively.

Figure 5 - Intermediate Orbiter Deployment

Figure 6 - Deployed Orbiter

See Appendix C for orbiter layout.

3.1.2 - Main Bus

The main bus is also a hexagonal structure with the same diameter, depth and thickness dimensions as the

heliogyro support rings. The center section is not removed to provide space for the computer, batteries, and

connection wires that branch out to the ADCS system and to the blade motors.

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3.1.3 - Aeroshell

The aeroshell for the Venus Lander is composed of three aluminum conical sections and one aluminum face

section, each 0.635cm thick. Figure 7 is a rendering of the shell with dimensions included.

Figure 7 - Venus Lander Aeroshell

The upper section is the VIP, which also encases the ballute. The middle section houses the balloon and the

lander. The third section is the face of the aeroshell. The aeroshell is designed to protect the lander and

allow the hypersonic shock wave that forms around it to pass through the empty section of the deployed

ballute. The hypersonic shock profile was calculated using equation (3.1)

(3.1) d

x

d

rCd

⋅⋅= 41

792.0

from (Ref #1 p. 128). This equation uses the cross-sectional diameter of the face section (d = 4.15 m) and

the drag coefficient (Cd = 1.8) to calculate the distance from the centerline of the aeroshell to the hypersonic

shock wave (r) along the axis that is perpendicular to the blunt edge of the face section. Figure 8 shows the

profile of the hypersonic shock wave and Figure 9 shows the relative sizes of the aeroshell, hypersonic

shock wave and the ballute.

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Hypersonic Shock Wave

0

2

4

6

8

10

12

0 5 10 15 20 25 30

Distance from blunt edge(m)

Hei

gh

t to

sh

ock

wav

e(m

)

Figure 8 – Hypersonic Shock Wave Profile

Figure 9 - Hypersonic Shock Wave Through Ballute

3.2 - Thermal

One side of the spacecraft is continually exposed to sunlight during the trip to Venus. All sides of the

spacecraft are exposed to extreme temperature gradients while in orbit around Venus. The solar intensity in

orbit at Venus is approximately twice the intensity encountered at Earth. The temperature of the outside of

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the orbiter will reach as low as –200 degrees centigrade. The following thermal control system is modeled

after the Magellan spacecraft sent to Venus in 1989 (Ref #2).

The most sensitive components on the spacecraft are the electronics, batteries, and thruster propellant tanks.

Table 6 shows the operating temperature range for each.

Table 6 - Temperature Ranges for Sensitive Components (Ref #39)

Component Operating Temperature (°C) Non-operating Temperature (°C) Battery

Charging 0 – 45 NA Discharging -20 – 60 NA

Thruster propellant tank NA 4 – 282 Computer -40 – 85

All electrical components and thruster propulsion tanks are wrapped in MLI blankets to protect them from

thermal extremes. The outside layer of the blanket is made of astroquartz, a material similar to glass-fiber

cloth that handles intense solar radiation extremely well. Chemical binders often used in astroquartz to

control flaking must be baked out to reduce the risk of discolorization leading to head buildup. The inner

layers of the blanket alternate between perforated, aluminized Mylar and B-4-A polyester netting. The

bottom layer is made of Kapton. The overall thickness of an average 8-layered blanket is 1.2 cm (the

netting is not counted in the number of layers). Figure 10 shows the layering of the thermal blanket used

on the Venus spacecraft.

Figure 10 - Multi-Layered Insulation Cross-Section

The antenna is coated with a white, inorganic, water-based paint developed at NASA’s Goddard Space

Flight Center. This paint reflects solar radiation and prevents discolorization. Electronic compartments in

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the orbiter bus, Venus Lander, and EEV have louvers around them that open and close automatically to

regulate heat dissipation (Ref #2).

This thermal control system tends the craft and components toward cold temperatures. Kapton heaters are

therefore attached to protect cold-sensitive components. Temperature sensors are mounted on each

component and software is written to ensure that the heaters are activated when a component becomes too

cold (Ref #2).

3.3 - Attitude Determination and Control System

3.3.1 - Attitude Determination

Control for the orbiter is performed solely by collective and cyclic pitch of the blades, so no additional

hardware such as control moment gyros or thrusters are required to provide pointing control. The attitude

determination sensors used by the orbiter are star trackers and sun sensors. The sun sensors are located on

the front face of the spacecraft, in the location most likely to maintain a position oriented towards the sun.

Two star trackers are located on the spacecraft bus, where spacecraft spin is not a factor. This combination

of sensors provides redundancy in the case of a sensor malfunction.

The star trackers are CT-602 High Accuracy Star Trackers provided by Ball Aerospace. These are small,

low mass devices capable of tracking up to five stars, with an accuracy of 3 arc seconds. Their Field-of-

View (FOV) is approximately 7.8º 7.8º, and they provide two-axis attitude determination as well as star

intensity data. They contain a radiation-hardened processor for environmental tolerance, and additional

memory for greater programmability. The sensor package also includes optics, a 512 512 pixel Charge-

Coupled Device (CCD) detector, a thermoelectric cooler, command and data interface, and a spacecraft

power and mechanical interface.

The sun sensors are Ball Aerospace’s Precision Sun Tracking Sensors. These particular sun sensors have an

accuracy of 30 arc seconds with an 110º FOV, and are flexible for use on both spin stabilized and three-axis

stabilized spacecraft. The sun trackers, which are constructed of 6061 aluminum, are also radiation

hardened and use CCD based imaging. Each individual sun sensor is 0.165 m in diameter and 0.057 m tall

with a hexagonal cross section. The sun sensors, like the star trackers, provide two-axis determination.

3.3.2 - Control Systems

Spinning the heliogyro blades stabilizes them and removes the need for structure along the blades. The

spin rate is 0.04 radians/sec, or 2.3 degrees/sec. For a blade length of 1000 m, the corresponding angular

momentum is 39.79. The angular momentum vector points inward, normal to the face of the sail. The spin

of the sail provides the tension necessary to hold the blades flat and in the proper position. Rotating the

blades using the blade motors provides further attitude control. The blades are rotated in both collective

and cyclic manners.

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Collective pitch constitutes applying a constant twist to each blade and is used to change the heliogyro spin

rate. The same torque must be applied to each blade for this maneuver, resulting in the same pitch angle for

each blade. This pitch mode is not time varying, because the angle applied is constant for all blades, and

does not change with rotation of the sail. This type of maneuver is also called a torque-control maneuver

(Ref #21 p. 88).

Cyclic pitch is time varying and may be modulated every rotation period. It is used to force the heliogyro

spin axis to precess by creating torques across the blade disk (McInnes, p.88). Pure cyclic pitch induces a

lateral force component in the plane of the blades that is used for planetary escape and capture spirals. Pure

cyclic pitch expressed as a function of time is given by equation (3.2).

(3.2) )sin()( 0ψθ −Ω= tAt

A is the cyclic pitch amplitude component, is the spin rate, and 0 is the phase angle. Pure cyclic pitch

contains no component of collective pitch. Cyclic and collective pitching can be combined for more

complicated maneuvers requiring both changes in spin rate and movement of the heliogyro spin axis. Such

maneuvers may be necessary for satisfying pointing requirements. This type of movement is used to

reorient the heliogyro and orbiter for capturing the VSC in Venus orbit. The equation of motion for this

mode is given by equation Error! Reference source not found..

(3.3) )sin()( 00 ψθθ −Ω⋅+= tAt

0 is the collective pitch angle. Other, more complicated schemes can be generated to provide various

modes of control, depending on the mission requirements. The heliogyro can be fully controlled in all

flight modes and for all pointing requirements using various combinations of collective and cyclic control.

Determining the blade shape and coning angle from the spin rate and solar radiation effects is central to

controlling the heliogyro. A blade tensile stress analysis is performed on the heliogyro for this purpose.

For heliogyros with blade length R, chord C, and thickness h rotating with angular velocity Ω, the radial

and chordwise tensile stresses are determined by equations (3.4) and (3.5).

(3.4) )(2

1)( 222 rRrr −⋅Ω⋅⋅= ρσ

(3.5) )2

[2

1)( 2

22 x

Cxx −

⋅Ω⋅⋅= ρσ

σr(r ) and σx(x) are the radial and chordwise tensile stresses, respectively (McInnes, p.88). The distance

outward along the sail blade is represented by r, and the distance in the chordwise direction along the sail

blade is represented by x. Results of these equations along the length of the blade are found in the

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following graphs. The tensile stress decreases exponentially as one moves outward along the blade or

outward away from the midline at the root.

Figure 11 - Radial (Lengthwise) Stress Analysis

Figure 12 - Tensile Stress Along Blade Chord

The coning angle may be calculated after the tensile stresses for the blade are determined. The coning

angle is the blade curvature as a function of the distance from the root of the blade, and is expressed as

(3.6) )(

2)(

2 rRh

Pr n

+⋅Ω⋅⋅⋅=

ρϑ

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where Pn is the solar radiation pressure for a given distance from the sun. Solar radiation pressure increases

as the orbiter gets closer to the sun. The following graph shows the variation in coning angle for a given

distance from the sun of 1.0 AU. The coning angle decreases with radial distance along the blade due to the

fact that the solar radiation pressure causes the blade to flatten.

Figure 13 - Coning Angle versus Position Along Length of Blade

It is possible to determine the blade shape as a function of radial distance once the coning angle variation

has been determined using the coning angle at the root, ϑ(0).

(3.7) )1ln()0()(R

rRrw +⋅⋅ϑ=

Results of this equation for 0rR are graphed in the following figure for a distance from the sun of 1.0

AU. These results vary as the distance to the sun changes, because the solar radiation pressure varies.

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0

200

400

600

800

1000

1200

1400

1600

0 200 400 600 800 1000 1200

Position on Blade (m)

Bla

de S

hape

Figure 14 - Blade Shape versus Position Along Length of Blade

The blade twist, , can be determined by solving the differential equation for blade twist as a function of r,

which is given by equation (3.8).

(3.8) 0)(2

12

222 =−⋅−⋅−⋅ θθθ

dr

dr

dr

drR

This blade twist is independent of mechanical properties of the blade. A root torque Mo is required to twist

the blade through the desired angle and can be calculated using equation (3.9).

(3.9) 00

0

208.1 σθ ⋅⋅⋅= IR

M

0 is the desired blade twist or pitch angle at the root, and 0 is the radial tensile stress at the blade root, and

I is the area moment of inertia, determined by equation (3.10).

(3.10) hCI 3

12

1=

It is obvious from the equation that the required torque increases linearly with increasing blade twist. The

torque is also small because the area moment of inertia is small due to the minimal thickness of the blades.

The results of this calculation are graphed in Figure 15 for pitch angles varying from 0 to 90 degrees.

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Figure 15 - Required Torque versus Pitch Angle

3.4 - Power

The power system for the orbiter utilizes a solar panel to provide the required power. The cells used for the

solar panel are gallium arsenide cells with a germanium substrate, and are manufactured by Spectrolab Inc.

The cells are monolithic, two terminal, triple junction cells with a Beginning-of-Life (BOL) efficiency of

26% and an End-of-Life (EOL) efficiency of 21%. Each cell has an area of 30 cm2, a thickness of 140 µm,

and a mass per unit area of 84 mg/cm2 (Ref #36). Assembly methods for the cells include soldering,

thermocompression, and ultrasonic wire bonding. The total area available for the solar panel, which is

located on the sun-facing surface of the orbiter, is 10.22 m2. The power output for this area is 3,086 W.

This provides more than enough power for the orbiter.

The power generated by the solar panel is stored in secondary batteries for use during times of eclipse, such

as in Earth or Venus orbit. Nickel-Cadmium batteries provided by Sanyo are used as the secondary

batteries. The particular battery used is a KR-series CADNICA battery, the KR-10000M. The KR-series

Sanyo batteries are standard space-rated batteries known for their high performance and reliability. Data on

the Sanyo CADNICA battery chosen is provided in Table 7.

Table 7 - Orbiter Batteries

Sanyo CADNICA Battery (KR-10000M)

Nominal Voltage: 1.2 V Capacity at 0.2C rate: 10000 mAh Diameter: 43.1 mm Height: 91.0 mm

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Mass: 400 g Charge Temperature Range: 0oC – 45oC Discharge Temperature Range: -20oC – 60oC Storage Temperature Range: -30oC – 50oC (-30oC – 35oC for long periods)

3.5 - Computer / Communication

3.5.1 - Computer

Calculating the motions of the individual blades in order to perform pointing, turning, and spin

maintenance is very complicated. The orbiter requires extensive computer calculations for ADCS. There

are two computers on the orbiter, one main computer and a backup computer. The computer selected for

the orbiter is the RHPPC Single Board Computer from Honeywell. This computer uses a radiation

hardened PowerPC 603e™ processor. This particular computer system is designed to operate for 15 years

in the severe thermal and radiation environments of space. Table 8 shows some of the features of the

computer system, and Figure 16 shows a picture of this computer system. Table 9 shows the radiation

hardness of the computer system. The software tools that can be used with this computer system are Wind

River Systems' Tornado™ environment, GNU C/C++ tools, and Wind River’s VxWorks™ realtime

operating system. The nominal temperature for this computer is 35oC, but it operates perfectly between -40

°C and 80 °C. The 210 MIPS provided by this computer is more than enough processor speed and power to

perform this mission. This system will cost about $400,000 for each computer (Ref #9).

Table 8 - RHPPC Feature Summary (Ref #9)

Processor RHPPC RISC (PowerPC 603e™ liscensed) 210 MIPS (Drhystone) @ 150MHz, 1.4 IPC

16Kbtye each Icache & Dcache L2 cache 512KB, look aside, write through Memory 4MByte SRAM, EDAC

4Mbyte EEPROM, super EDAC 64Kbyte SUROM (PROM)

Backplane Bus cPCI, 32-bit, 33MHz, 3.3V I/O MIL-STD-1553B

2 Synchronous Serial full duplex ports, 12.5Mbps (RS422) 2 UART full duplex ports, 9.6K to 1M BAUD (RS422) 16 pins programmable as interrupt or discretes

Debug/test port JTAG (1149.1), COP, RHPPC debug Timers/counters 5, 32-bit general purpose, 4 with 8-bit prescale

50-bit mission timer with 6-bit prescale 32-bit watchdog timer, 2 stage

Form Factor cPCI 6U x 220 (9.187” x 8.661”) with 2 PMC-like slots (74 x 149 mm) Mass 2.2 pounds

Power 12.5W (nom), 3.3Vdc ± 5% Radiation hardness Natural space

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RH PPC

LM

111

RS

42

2R

cvr2

6F32

RS

23

2R

cvr2

6F32

1 553Dual

XCVR

1553XFMR

1553XFMR

RS

42

2D

rv2

6LS32 O

SCOSC

512K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

51 2K x 8EE PR O M

51 2K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

512K x 8EE PR O M

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

PCI - PCIBridge

PCI - PCIB ridge

PPC-PEC

LM111

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

51

2K

x 8

SR

AM

32K x 8PROM

32K x 8PROM

AC 24 5

AC 245

AC 24 5

AC 24 5

AC 24 5

AC 24 5

AC 245

AC 245

AC 24 5

AC2 45

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

RR

Figure 16 - RHPPC Mechanical Concept (Ref #9)

Table 9 - Radiation Hardness (Ref #9)

Total dose 1E5 rad Dose rate upset 1E8 rad/s Dose rate survive 1E11 rad/s Neutrons (1MeV DES) 1E13 n/cm2 SEU without L2 4.4E-5 u/d SEU with L2 8.4E-5 u/d Latchup none

3.5.2 - Communications

The steerable HGA utilizes an X-band signal with a frequency of about 80 GHz in order for the DSN

ground stations to pick up the data. The DSN is the monitoring agent on Earth for the duration of the

mission. DSN has the adequate coverage for the orbiter to be able to receive data at all times during the

mission. The HGA dish is 1.5 m in diameter and has a 2 m boom. The boom is connected to a 0.5 m arm

for stowing during launch. The HGA requires 60 W of power to operate and has a power output of 25 W

(Ref #11).

3.6 - Propulsion

The heliogyro propulsion system provides one main advantage over conventional chemical propulsion

systems. The mass of the propellant required to accomplish this mission with chemical propulsion is in

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excess of 10,000 kg. The heliogyro propulsion system has a mass of roughly 300 kg by comparison.

Decreasing the overall launch mass reduces the size of the launch vehicle and ultimately the cost of the

mission.

3.6.1 - Solar Sailing Basics

A solar sail is a large, low mass reflective structure in space. Thrust is produced by photon pressure from

the Sun or other beamed energy sources. This concept gives a solar sail the ability to operate with an

unlimited supply of fuel (the Sun) within the inner solar system. When traveling in the outer solar system

the solar radiation pressure is significantly reduced (the drop in pressure falling proportionally with the

square of the distance to the Sun). Solar radiation pressure is the transfer of momentum from photons to

the sail. This momentum transfer occurs twice with the sail. The first transfer (Figure 17) occurs when the

photon strikes the sail, and the momentum of the photon is transferred to the sail/photon system.

Figure 17 - System before photon strike

The photon had momentum +p before making contact and the sail had 0 momentum and upon contact the

system has momentum +p. The photon is then reflected off the sail (the percentage of photons reflected

depends on the reflectivity of the sail material) transferring momentum to the sail (Figure 18). The photon

now has momentum –p and the sail has momentum +2p.

Figure 18 - System after photon strike

The optimal incident angle at which to hold the sail is 45 degrees with respect with the sun for a perfectly

reflecting surface. Surfaces do not reflect perfectly, which means that the angle of incidence is not equal to

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the angle of reflection. The ideal pitch angle equals the cone angle of the reflected photon. Mathematical

modeling is done assuming an ideally behaving sail at 45 degrees.

3.6.2 - Equations of Motion

Patched conics are used to determine a preliminary trajectory for the solar sail. Circular planetary

motion and co-planar travel are assumed. The basic equation of motion in polar coordinates is

(3.11) Trr

mrm

+⋅−=⋅3

µ

where µ is the gravitational constant of the influencing gravitational body, r is the

Figure 19 - Polar Coordinates Defined

position vector from the center of mass of the influencing body, T is the thrust acting on the sail, and m is

the mass of the spacecraft. Thrust for solar sail propulsion, T is given by equation (3.12).

(3.12)

⋅⋅

⋅=θα

αe

eAPT r

ˆcos

ˆsin

where P is the solar radiation pressure, A is the surface area viewable by the sun and α is the angle of the

sail with respect to the Sun. Solar radiation pressure is given by equation (3.13).

(3.13) ( )

cR

LP

⋅⋅+=

22

1 ρ

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where L is the solar luminosity, ρ is the reflectivity of the sail material, R is the distance to the Sun, and c is

the speed of light. Figure 19 illustrates the polar conventions used in these equations. Equation (3.14)

shows the second derivative of r in polar form.

(3.14) ( ) ( ) θθθθ errerrr r ˆ2ˆ2 ⋅⋅⋅+⋅+⋅⋅−=

Dividing equation (3.11) by the spacecraft mass and then combining equations (3.11), (3.12), and (3.13)

gives the acceleration of the solar sail as

(3.15) ( )

⋅⋅

⋅⋅++−=

θααρµ

e

e

cR

ALr

rr r

ˆcos

ˆsin

2

123

Equation (3.14) and (3.15) are equated and a system of two second order differential equations results when

the vectors are split into their components.

(3.16) re : ( ) αρµθ sin

2

122

2

cR

AL

rrr

⋅⋅++−=⋅−

(3.17) θe : ( ) αρθθ cos

2

12

2 cR

ALrr

⋅⋅+=⋅⋅+⋅

Equation (3.16) and (3.17) are converted to a system of first order differential equations and solved

numerically using MatLab. These two equations make up the basis for all analysis done in computing the

trajectories for this mission. The front blades will periodically cast shadows on the rear blades because of

the counter spinning motion of the heliogyro. The shadows reduce the thrust output of the sail by reducing

the viewable area of the sail to the Sun. This was modeled as a simple sine curve that follows equation

(3.18).

(3.18)

⋅⋅⋅⋅+⋅=

180sin25.75. maxmax

rpmtTTT

π

Tmax is the maximum thrust possible, which occurs when the sun strikes all the blades, t is the time in

seconds, and rpm is the revolutions per minute of the blades. Figure 20 shows the thrusting profile for the

first half of the mission (travel to Venus).

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Figure 20 - Mean thrust for travel to Venus

3.6.3 - Interplanetary Travel

Assumptions are made in addition to those already mentioned above in order to simplify calculations to

obtain a reasonable estimate for the flight path of the spacecraft. The first assumption is to hold the solar

sail’s angle to the Sun, α, constant for the duration of the trip to and from Venus. The solar sail can vector

its thrust 90 degrees in either direction from the Sun. It is also assumed that the thrust produced by the

solar sail is the maximum possible at that distance from the Sun. The dynamics of this design allow

throttling from no thrust to full thrust. Both of these capabilities allow the solar sail to depart at anytime

and arrive at the desired destination without having to adhere to specific launch windows. Travel to Venus

is calculated holding the thrust angle at 135 degrees. Figure 21 shows the trajectory from Earth to Venus as

computed with these assumptions. The travel time is 452 days to reach the sphere of influence of the Venus

gravity field. This travel time is the minimum travel time from Earth to Venus using a sail area of 49,000

m2 and a payload of 2,912 kg.

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Figure 21 - Travel Trajectory From Earth to Venus at Minimum Travel Time Conditions

Figure 22 - Travel Trajectory From Venus to Earth at Minimum Travel Time Conditions

To achieve this travel time a departure from Earth would have to be on March 28, 2005 at the earliest and

arrival at the Venus sphere of influence would occur on June 23, 2006. Launching on any other date

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increases the travel time to intercept Venus. The return trip of the interplanetary travel phase (Figure 22) is

quicker due to the lower mass of the payload returning to Earth. The thrust angle for this portion of the trip

is held constant at 45 degrees in order to spiral outward. Again, considering the shortest possible trip time,

the first available launch opportunity comes on October 29, 2007. The travel time back to Earth would be

119 days and arrival at Earth would occur on February 26, 2008.

3.6.4 - Travel Around Venus

The travel within the sphere of influence of a planet was analyzed with a different set of assumptions from

that of the interplanetary travel. For this case the thrust angle is no longer held constant, rather the thrust

angle must vary with the position of the solar sail in the planet’s orbit. Energy is added or removed in order

to spiral out or in respectively. Thrust is vectored in the direction opposite the velocity vector to decrease

the energy and spiral towards the planet. When it is not possible to thrust against the velocity vector,

thrusting is stopped by positioning the blades of the sail parallel to the direction of the Sun. Figure 23

depicts this mode of thrusting involved in Phase I. When a suitable perigee is achieved in the capture orbit

a new approach to thrusting is taken in which thrusting only occurs within a specific distance from the

planet; in the case of the Venus capture orbit this radius is 100,000 km. This method of thrusting changes

perigee by 1000 km but reduces the apogee distance by over 100,000 km as can be seen in Figure 23 as

Phase II of the capture.

Figure 23 - Overview of Venus Capture

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A closer inspection at perigee shows the small variance of the perigee point with each pass, shown in

Figure 24. Also shown is the entry path of the lander into the atmosphere.

Figure 24 - Venus Capture Close-up

For this case, Phase I lasts approximately 49 days and Phase II takes about 199 days. The orbiter releases

the lander at apogee just under four days after the completion of Phase II, and the lander takes 3 more days

to enter the atmosphere. Total time for this section of the mission is approximately 255 days.

The previous paragraph describes the latest design change in the mission. The original mission concept

called for the orbiter to spiral into an 800 km circular orbit to perform the rendezvous. Trajectory

computations calculating this orbit transfer produce unacceptable mission times of more than 3 years for

completion of the spiral transfer to the 800 km circular orbit. The need to change the mission to a more

appropriate time frame arose from this analysis. This new concept brings the orbiter into the highly

elliptical orbit shown in Figure 23, where perigee is at 800 km altitude and apogee is at 275,000 km. As

discussed in Section 4.10.2, the rocket would need to be resized to match such an orbit so that a rendezvous

can be achieved. With this mission concept the ∆V required to insert the lander into the Venus atmosphere

is reduced to 20 m/s at the apogee of the orbiter’s orbit (Figure 23).

The Venus escape portion of the mission begins after the rendezvous occurs. The escape is similar to the

capture Phase I in thrusting with the exception of that energy will now be added to the orbit by positioning

part of the thrust vector in the velocity direction. Figure 25 demonstrates an escape trajectory given

optimal conditions. This trajectory takes approximately 108 days to complete.

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Figure 25 - Venus Escape Trajectory

3.6.5 - Future Analysis

There is room to improve the accuracy of these models. Matching the final conditions of interplanetary

travel with the initial conditions of planetary travel is one of the more important areas for improvement.

This is accomplished through vectored thrusting and throttling and would increase the estimated minimum

trip time on the order of months. Another area of improvement would be to 3-dimensionalize the

mathematics of the modeling. The initial 2-D assumption made is reasonable, however, there is

approximately 3 degrees of inclination separating the Earth orbit from the Venus orbit around the Sun.

Referring to Figure 20, further study could be done to explain the flat portions of the thrust curve that occur

at the beginning of the transfer and at 300 days into the transfer.

Further analysis is also needed in the study of blade flutter that may result from the counter

spinning blades casting shadows on each other. This may or may not be a problem with the projected spin

rate of 0.38 revolutions/minute. Possible corrections to this problem include reshaping the blades to make

them thinner in width and longer in length or increasing the spin rate of the heliogyro. If the harmonic

response of this flutter is small enough and occurs away from the resonance frequency of the blades it may

also be an option to allow the small amount of flutter to occur. Other blade dynamics that are of concern

include the blade twist that can occur down the length of the blade and response lag to rotations applied at

the root.

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3.7 - Mechanisms

3.7.1 - Lightband

Lightband is a separation device that allows two spacecraft to detach from one another. Walter Holemans of

the Planetary Systems Corporation invented the device’s simple design. A string held in tension holds the

two halves of the system together. When the tension is released by melting through the string, the two

halves separate and the spacecraft float apart. Lightband has heritage in the University Nanosat program

with the spacecraft trio of project ION-F involving the three universities: Virginia Tech, University of

Washington, and Utah State University. The system separated the three satellites successfully in 2003.

The Lightband mechanism allows the Venus lander to detach from the Earth return vehicle. In addition, the

separation of the Earth return vehicle from the main bus also utilizes Lightband. Lightband has a mass of

1.363 kg and requires a 30 W burst of power for activation. (Ref #13)

3.7.2 - Solar Sail Blade Thrusters

Thrusters along the outside of the orbiter fire to begin rotation of the solar sail bases. The rotation initiates

deployment of the solar sail blades. Once the correct rotational speed is reached, frictionless magnetic

bearings allow the rotation to continue without deceleration.

3.7.3 - Communications Dish Pointing Mechanism

A communications dish resides on the main orbiter bus where no rotation occurs. However, the dish itself

must be able to point in any direction within a full 360 degree circle. A motor will allow the dish to turn

and align itself for communication with Earth.

3.7.4 - Blade Rotation Motors

Blade rotation motors located within the blade support ring of the orbiter allow the solar sail blades to

rotate, enabling the sail to control the direction in which the spacecraft travels. Planetary gearhead motors,

model EC32, from Maxon Precision Motors Company, are used for the blade rotation. The motors provide

a torque of 2.25 N⋅m and have a mass of 162 grams. A total of twelve motors are needed to allow each

solar sail blade to rotate a full 180 degrees independently of other blades. Each motor requires 80 W to

operate. (Ref #20)

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Chapter 4 - Venus Lander

4.1 - Configuration

The Venus Lander is mainly comprised of three large cylindrical tanks attached to a skeletal, titanium

platform. One of these cylinders houses the Venus Ascent Vehicle, and the other two contain the helium

necessary to inflate the entry ballute and the ascent balloon. Below the titanium frame, two smaller

cylindrical tanks contain the electronic, power and sample collection systems. The sample collection

cylinder housing connects to the rocket casing so that the sample can be inserted directly into the sample

capsule from below. Four telescopic legs support the lander and are attached to the main platform through

a pin and shock system. Figure 26 shows the lander in a fully deployed configuration.

Figure 26 - Deployed Venus Lander

The legs of the lander retract and are rotated up against the platform for the stowed configuration. Figure

27 shows the stowed configuration for the lander.

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Figure 27 - Stowed Venus Lander

The shock absorbers slide along horizontal rails as the legs rotate, as shown in Figure 28, so they remain

extended throughout the descent until impact with the surface.

Figure 28 - Shock Absorber Deployed and Stowed Configurations

See Appendix B for lander configuration.

4.2 - Sizing Methodology

4.2.1 - Helium tanks

The layout of the lander is primarily based on the volume and mass of the top cylinders. The size of the

rocket housing came directly from the size of the Venus Ascent Vehicle. The materials used, and the mass

of the rocket housing is discussed in Section 4.3. Sizing of the two helium tank cylinders began with an

initial volume estimate based on the perfect gas law (equation 4.1) and the mass of helium needed for the

ballute and balloon of 70 kg. An internal temperature and pressure of 250 K and 19 MPa respectively were

used for this analysis. This application of equation 4.1 returned a volume of 2.1 m3. This volume was cut

in half for lander symmetry. A hoop stress analysis (equation 4.2) was used to determine a wall thickness

for different combinations of vessel length and radius for this volume. Table 10 shows the results for

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various geometric combinations for the half volume for four different materials. The highlighted row

represents the chosen geometry and material.

(4.1) mRTPv =

(4.2) t

rPz

⋅=σ

Table 10 - Helium Tank Geometry and Mass Combinations

Graphite

Vessel Radius (m) Vessel Length (m) Wall thickness (mm) Vessel Mass (kg) 0.1 33.29 1.38 45.09 0.2 8.09 2.76 45.73 0.3 3.31 4.15 47.47 0.4 1.56 5.53 50.86 0.5 0.67 6.91 56.45 0.6 0.13 8.29 64.79

Titanium

Vessel Radius (m) Vessel Length (m) Wall thickness (mm) Vessel Mass (kg) 0.1 33.29 2.07 197.76 0.2 8.09 4.13 200.61 0.3 3.31 6.20 208.32 0.4 1.56 8.27 223.34 0.5 0.67 10.34 248.10 0.6 0.13 12.40 285.04

Aluminum

Vessel Radius (m) Vessel Length (m) Wall thickness (mm) Vessel Mass (kg) 0.1 33.29 6.61 373.58 0.2 8.09 13.22 379.30 0.3 3.31 19.83 394.84 0.4 1.56 26.43 425.11 0.5 0.67 33.04 475.01 0.6 0.13 39.65 549.45

Steel

Vessel Radius (m) Vessel Length (m) Wall thickness (mm) Vessel Mass (kg) 0.1 33.29 1.38 229.83 0.2 8.09 2.76 233.10 0.3 3.31 4.15 241.98 0.4 1.56 5.53 259.26 0.5 0.67 6.91 287.74 0.6 0.13 8.29 330.24

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The two helium tanks are constructed of graphite and include no heat shielding. Graphite was chosen

because of its high strength to density ratio. The ascent balloon is deployed during the descent to the

surface, so the integrity of the unshielded graphite tanks at the surface should not be an issue.

4.2.2 - Titanium Platform

The titanium platform is designed to withstand the maximum load occurring during the Venus entry phase

of the mission. The predicted 12 to 15-g deceleration creates a transverse load on all the bars in the

platform. These loads produce a maximum bending moment of about 6,200 N-m in the center cross-wise

bars Figure 29. The longest bars are used for the bending analysis because they experience the largest

bending load. We chose an initial outer diameter for the titanium bars of 5 cm. A required moment of

inertia for this load is determined using equation 4.3. The moment of inertia in this equation is then used to

solve for the inner diameter (equation 4.4). The thickness for these titanium bars is 1.1 cm. The mass for

the entire platform is 107 kg.

(4.3) I

yMz

⋅=σ

(4.4) )(64

44io rrI −⋅= π

Figure 29 - Venus Lander Main Platform

4.2.3 - Landing Legs

The legs of the lander are telescoping, concentric cylinders. These legs are subjected to both bending and

buckling loads. In this case the bending load is the limiting factor. The shock absorbers are designed to

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allow for 0.23 m of travel at an impact velocity of 4 m/s. This creates a bending load of 6,000 N·m in each

leg. This sizing includes a large factor of safety to account for possible difficulties with balloon inflation.

The upper/outer cylinder for each leg has the same dimensions as the bars used for the main platform. The

lower/inner cylinder for each leg is a solid 2.8 cm diameter bar. The entire leg is 1.6 m long when

deployed. These legs are pinned to the lander and lander feet, and they are connected to the shock

absorbers with ball and socket joints. The landing feet are 0.3 m diameter plates. Figure 30 shows a leg in

its deployed configuration.

Figure 30 - Venus Lander Leg Deployed Configuration

4.2.4 - Center of Mass

The center of mass for the lander is important both for aerodynamic stability during descent and to ensure

that the landing loads are distributed evenly across the platform. The upper cylinders are symmetrically

placed; the lower cylinders are not. The center of mass for the VAV is located 0.04 m from the center of the

platform. The sample collection cylinder is attached to the rocket casing directly below the payload

section, a distance of 0.75 m from the center of the platform. The rocket mass is 310 kg, and the mass of

the sample collection cylinder is 35.4 kg. The cylinder containing the battery pack has a mass of 53.1 kg.

Summing the moments about the center axis places the battery cylinder at a point 0.2 m from the center of

the platform on the same side as the rocket center of mass. Figure 31 shows the placement of these

cylinders with their respective distances from the center of the platform.

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Figure 31 - Venus Lander Center of Mass Layout

4.3 - Thermal

The shielding is designed to prevent electronics meltdown premature rocket ignition. The rocket has a

safety temperature of 78 °C; at that point the fuel in the rocket ignites. The electronics must be maintained

at a temperature less than 40 °C. Figure 32 refers to pieces of the lander that use the thermal shielding for

protection.

Figure 32 - Venus Lander Thermal Shields

The shielding is constructed of a variant of MLI comprised of a titanium (Ti-6AI-4V) outer shell of

thickness 38cm. Titanium was chosen because of its excellent strength-to-mass ratio and its ability to resist

Electronics Container

Sample Container

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sulfuric acid. The titanium is able to sustain the loads encountered during the Earth launch, Venus entry,

and Venus surface phases of the mission. The inner shell is comprised of Type-304 stainless steel with a

thickness of 0.76 mm. The purpose of the steel is to keep the insulation intact and against the wall of

titanium. Three sheets of micro-fiber felt composed of borosilicate glass fibers of thickness 1.3cm are used

for the thermal insulation between the inner and outer layers. Xenon gas located between the insulation

sheets is used with the borosilicate glass layer. Figure 33 shows the spacing and thickness of each piece of

the thermal shielding.

Figure 33 - Venus Thermal Shielding

The nominal heat transfer required for all the constraints to be sustained is 150 W. This is done using the

equation for heat transfer though a wall, equation (4.5).

(4.5) L

SATTkQ

*)(* 12 −=

Q is the heat transfer through the wall of the container, k is the thermal conductivity of the wall, T2 is the

outside temperature, T1 is the inside temperature, SA is the outer surface area of the cylinder, and L is the

thickness of the wall.

Figure 34 shows the insulation remains under 150 Watts for 3.33 hours at 460°C. This allows for ample

time to complete the sample collection phase of the mission. Figure 35 illustrates the thermal conductivity

at a variety of temperatures. (Ref. 12)

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Heat Transfer (Watts) vs. Time (sec.)

0

20

40

60

80

100

120

140

160

0 2000 4000 6000 8000 10000 12000

Time (sec.)

Hea

t T

ran

sfer

(W

)

Figure 34 - Venus Shielding Heat Transfer versus Time

Thermal Conductivity vs. Temperature in Kelvin

0

0.005

0.01

0.015

0.02

0.025

0.03

0.035

0.04

0.045

250 300 350 400 450 500 550 600 650 700 750 800

Temperature (K)

Th

erm

al C

on

du

ctiv

ity

Figure 35 - Thermal Conductivity versus Temperature

4.4 - Attitude Determination and Control Systems

The Venus Lander insertion segment and the EEV both use hydrazine fluoride thrusters for attitude control,

but the thrusters do not have the same characteristics for both systems. The Venus Lander is three-axis

controlled from separation with the orbiter to Venus entry. There are two thrusters along each axis for a

total of six thrusters. The total propellant mass is 20.371 kg. The fuel tanks have a radius of 0.099 m and a

thickness of 0.00043 m. The mass of each fuel tank is 0.149 kg, and the fuel mass is 4.074 kg. The

oxidizer tanks have a radius of 0.099 m and a thickness of 0.00044 m. The mass of each oxidizer tank is

0.151 kg, and the oxidizer mass is 6.111 kg. The thrusters provide a 25 m/s ∆V change per axis, or 12.5

m/s per thruster.

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Attitude determination onboard the Venus Lander is accomplished through the use of a sun sensor and a

star sensor. Ball Aerospace provides both, and they are identical to the sensors used on the spacecraft

orbiter. Although they are housed in the lander insertion segment with the thrusters, they are located at a

distance away from the thrusters so that any propellant exhaust does not affect their performance.

4.5 - Power

The use of solar panels for power generation on Venus is impractical due to the lack of adequate sunlight on

the Venusian surface. Primary batteries are the best choice for a lander power supply; their number and

size are dictated by the lander power requirements. The Venus Lander requires three separate systems, one

for the lander, a second for the VIP, and a third for the rocket to transport the sample to the orbiter.

The lander must be operational for the duration of the surface mission in addition to the time required to

descend to the surface and then ascend to the appropriate altitude for rocket launch. Thus the lander

batteries must provide power for up to nine hours. Lithium ion batteries manufactured by Saft Battery

Company (Ref #32) provide an adequate power supply for the length of the surface mission, as well as for

the thruster package. The lander batteries are packaged as a cylindrical cell, in a sealed aluminum case, and

are affixed to the lander base. The thruster package batteries are packed the same way, but are contained in

the thruster housing section, and thus discarded before landing. Characteristics of Saft’s lithium ion

batteries are provided in Table 11.

Table 11 - Venus Lander Batteries (Ref #32)

SAFT LITHIUM ION BATTERIES: Length: 250 mm Diameter: 54.2 mm Mass: 1,132 g Average Voltage: 3.6V at C/2 EOCV: 4.1 V Power: 132 Wh Specific Power: 117 Wh/kg Power Efficiency: >94%

The lander power requirement for the surface mission is 1,043 W for 1.5 hours, for a total required capacity

of 1,564.5 W·hr. Additional power is required during the descent and ascent phases of the lander mission to

support the sensors and computer. Assuming a maximum time of 8 hours for the descent and ascent phases

of the Venus mission leads to a power requirement of 176 W·hr. These two power requirements together

yield a capacity of 1,740.5 W·hr. Using Saft’s lithium ion batteries to provide this power leads to a total

battery mass of 14 kg, corresponding to 15 batteries each with a volume of 5.8x10-4 m3, leading to a total

battery pack volume of 8.12x10-3 m3.

The Venus insertion package is operational from the time of release from the orbiter to the point at which it

is disconnected from the lander. The primary power requirement in this segment of the lander is the power

necessary to fire the thrusters. This is not a constant power requirement since the thrusters are not firing

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continuously. The thruster package requires a power supply for five days, the length of time it must remain

operational. Assuming the thrusters are firing, the maximum power requirement is 83W. The power

requirement assuming no thrusters are firing is 23 W. Again, the lithium ion primary batteries will also be

used in this segment.

4.6 - Computer

4.6.1 - Venus Lander Computer

The Venus Descent Vehicle uses a Radiation Hardened Vector Processor (RHVP) by Honeywell. This

computer can handle 25 MIPS and has 2.7 MB of onboard static RAM. This system has a general-purpose

digital signal processor (DSP) onboard with the vector processor. Applications not suited for the fast vector

processor are handled by the DSP. The computer controls the separation of the Venus thruster package,

ballute deployment, balloon deployment, collecting and controlling scientific data while on the surface, and

transferring data to the sample capsule computer. Software supported includes Vector Builder, Vector Sim,

and COTS tools. This computer system costs about $100,000. (Ref #14)

4.6.2 - Sample Capsule Computer

The sample capsule computer will control the rockets flight, first and second stage separations, control the

omni directional s-ban antenna, and store all surface collected data. The sample capsule will be using the

RHVP computer along with a 48 MB extra solid-state memory card. The memory card cost about $200,000

and can store up to 48 MB of flash ram solid-state data. All of the data collected from the Venus Lander is

transferred from the lander’s computer to the sample capsule and stored in the extra memory card. This

entire system costs about $300,000. (Ref #14)

4.7 - Mechanisms

4.7.1 - Ultrasonic Drill/Corer

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Figure 36 - Close up of the Ultrasonic Drill/Corer

An Ultrasonic Drill/Corer (USDC) acquires about 230 g of surface sample from Venus. The inner diameter

of the corer is 2.67 cm, and the drill stem length is 15 cm. The drill requires 1,000 W of power. The corer

works by using an ultrasonic horn driven at 20 to 23 kHz. A transformer converts the frequency to a drive

signal and a 60 to 1,000 Hz sonic wave. The USDC impacts the rock and creates fractures in the material

to achieve penetration.

Cybersonics Inc, located in Erie, Pennsylvania is working on the drill/corer in cooperation with NASA’s

JPL. The USDC can drill into hard rock samples including basalt, ice, and construction brick. This

instrument has the capability of drilling through Venus’s basalt surface to retrieve the required sample.

The corer connects to the bottom of the sample retrieval cylinder so that the drill stem tip hovers 0.35 cm

above the Venusian surface. An extend/retract device attached to the top of the corer allows the drill stem

to reach the surface. A ball and joint connection between the extend/retract device and the corer enables the

instrument to align itself perpendicular to the surface in case the lander does not land level.

The USDC bit is not sharpened, so there is no concern with the bit wearing out and losing performance

capabilities. The corer is ideal in that it is not subject to drill walk, does not apply large lateral forces on

its platform, and the drilling speed does not degrade with time. High temperatures are handled well by this

instrument as it has only two moving parts that are easily adapted. (Ref #3)

4.7.2 - Mechanical Arm and Scoop

The mechanical arm will collect the rest of the 1.5 kg sample that must be returned. The arm requires a

power of up to 25 W. It is composed of two sections of graphite epoxy, each 0.4 m in length. Each section

is hollow, with a 2.54 cm inner diameter and a 3.0 cm outer diameter. The mass of the arm is 135 g, and

the scoop volume is 50 cm3. The arm is composed of three sections: a shoulder joint joins the sample

retrieval cylinder and the first arm section, an elbow joint connects the two arm pieces, and a wrist joint

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attaches the scoop to the arm. The rim of the scoop contains a top layer of tungsten steel to give the scoop

added toughness for trenching. Three narrow pieces of tungsten steel jut out from the back of the scoop.

These ripper tines (Ref #26) rake the surface to break up the rock and allow the scoop to collect the sample.

The arm digs up about 45 cm3 of Venusian dirt, tilts the scoop up, and allows the sample to fall down the

first section of the arm. A door connecting the sample container and the arm opens as the dirt begins to

descend down the arm. The pressure in the sample container is less than that on the surface, so when the

door opens a suction force helps collect the dirt falling down the arm. Meanwhile the mechanical arm

continues to dig and drop the samples through the hollow arm until a device in the sample container

informs the arm that the sample has been obtained. At this time the door to the sample container seals shut.

Through the procedure of using the suction force of the sample container, an atmospheric sample at surface

level is obtained in addition to the rock sample. (Ref #26)

VENUSIAN SURFACE

4.7.3 - Sample Containers

The sample containers consist of a cylinder to hold the core sample, a surface sample sphere for the arm

sample, and two atmospheric sample spheres. The sample containers’ volumes were designed using the

density and characteristics of basalt. Extra volume was added to the arm sample sphere in order to also

provide room for atmospheric, surface level samples.

Two small containers for high altitude atmospheric samples are included. The containers are spherical in

shape and acquire their samples by suction. The computer signals the containers’ door mechanisms to open

at 70 km (above the cloud top) for one container and then at 40 km (in the cloud layer) for the other

container.

Atmospheric samples are obtained by using a pressure difference technique. The containers are pressurized

prior to Earth launch at a pressure lower than that of the sample to be collected. The container valve opens

at the desired altitude, allowing the atmospheric sample to be obtained. A timer is used to close the valve,

capturing the atmospheric sample in the container. (Ref #)

Sample Cylinder

Arm

Scoop

Lander

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4.8 - Scientific Instrumentation

4.8.1 - Variometer

A variometer is an instrument designed to detect magnetic fields. Venus is not believed to have a magnetic

field, but little data has been acquired in this area. The variometer is used to verify or disprove this belief.

The variometer requires 1 W of power and has a mass of 500 g. (Ref #8)

4.8.2 - Wind Vane

A wind vane is attached to the top of the lander. The wind vane deploys from the lander after the balloon is

deployed. This instrument determines whether the directions of the winds on Venus change or blow

constantly in one direction. The device is not designed to measure the magnitudes or direction of the

winds, but only the consistency of their direction. The wind vane requires 2 W of power and has a mass of

200 g.

4.8.3 - Panoramic Micro-Imager

The Panoramic Micro-Imager (PMI) acquires panoramic images of the Venusian surface and of the

mechanical arm and drill collecting surface samples. The PMI requires 4 W of power and has a mass of

500 kg. The imager is located in the sample cylinder under the lander. (Ref #8)

4.9 - Venus Entry and Descent

4.9.1 - Ballute Introduction

Entry designs were limited in the past by the mass cost of entry vehicles. The Venus Sample Return

Mission utilizes a new type of planetary entry device, known as a ballute, which allows for a reduction in

entry mass by the elimination of the massive heat shield.

A ballute is the physical union of a parachute and a balloon. The idea behind the ballute is to reduce the

heat flux incurred during entry until a heat shield is no longer necessary. A ballute achieves reduced

heating values by increasing the drag of the payload. A parachute cannot be used in the zero gravity

environment of space because of its inability to deploy. The ballute incorporates the rigidity of a balloon

with the drag characteristics of a parachute to increase the cross section and drag profile of the payload.

The ballute concept requires a drag producing and load carrying material, a storage and deployment

container, gas for inflation in zero gravity, and a tank to store the gas. The gas and tank requirements are

easy to fill because these systems are already provided for the ascent balloon.

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4.9.2 - Shape

Ballutes can be either attached to the payload or connected by a tether. Attached ballutes, as seen in Figure

37, have the advantage of reducing the heating values on the payload to those of the ballute.

Figure 37 - Attached Aeroshell (Ref #18)

Detached ballutes can achieve higher drag profiles with smaller surface areas as evidenced by the lens

shape, which can be used to reach drag coefficient values as high as 2.0. The application of a disk with an

outer ring permits the further reduction of material usage while keeping the same essential shape and drag

profile. The outer ring is necessary to keep the peak heating values of the disk edge low. The ballute

chosen for the VSRM is in the shape of a torroid, as shown in Figure 38. The torroidal shape allows for the

shockwave from the payload to pass through the center of the ballute without affecting the flow around the

ballute. The material requirement for the ballute is minimized by using two tubes at each edge of the film,

as diagrammed in Figure 39. (Ref #22)

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Figure 38 - Torroidal Ballute and Aeroshell

Figure 39 - Cross Section of Torroidal Ballute

4.9.3 - Materials

The materials required for this type of mission need to exhibit good thermal mechanical properties and

have high specific strength. A list of the possible materials for use in the ballute film application is

presented in Table 12 along with some of their properties. Fluoropolymers exhibit excellent thin film

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qualities, but they are not considered due to their higher densities. Both Aramid and Kapton are produced

by

Table 12 - Ballute Film Materials (Ref #42)

Property Unit Kapton Aramid Polybenzoxazole Density g/cm3 1.420 1.500 1.54 Melting Temp °C none none none Glass Transition Temp °C 350 280 none Tensile Strength kg/mm2 18 50 56-63 Tensile Elongation % 70 60 1-2

DuPont . Aramid is a long-chain synthetic polyamide, an organic thermoplastic (Ref #10), and Kapton is

a polyimide, a non-thermoplastic polymer. Aramid displays higher strength, but for this application the

thermal properties of Kapton are more desirable. Polybenzoxazole (PBO) is a liquid crystal polymer that is

developed by Foster-Miller . PBO demonstrates superior thermal and mechanical properties but is only

developed in smaller sizes making the fabrication of a large ballute difficult.

Kapton has a low density, intermediate thermal properties, and mature fabrication processes. Its lower

tensile strength is made insignificant by the addition of a load-carrying net around the ballute. Fibers for

the netting are presented in Table 13.

Table 13 - Ballute Fiber Materials (Ref #42)

Property PBO Aramid Spectra Carbon Density (g/cm3) 1.56 1.44 0.97 1.8-1.9

Tensile Strength (kg/mm2) 577 351-281 306 492-351 Elongation, Break (%) 3.0 1.5-4.0 3.5 1.5-2.0

Spectra and Aramid both have poor high temperature characteristics, making PBO fibers the obvious choice

for use as the ballute netting. The tensile strength analysis of Kapton film and PBO fiber are shown in

Table 14.

Table 14 - Tensile Stress Analysis of Kapton and PBO (Ref #22)

Temperature °C Kapton film (kg/mm2) PBO fiber (kg/mm2) 20 21.1 577

100 15.8 473 200 10.8 363 300 7.7 254 400 5.55 208 500 3.94 200

The PBO fiber displays high strength even at high temperatures, and the Kapton film produces adequate

strength since it will not be the load carrying material. The structural integrity of the ballute throughout the

entire descent is not critical. The peak heating values occur in the matter of a couple minutes so any minor

holes ripped into the film have little effect on the success of the ballute as a whole.

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4.9.4 - Sizing

Three factors influence the sizing of the ballute: the entry mass, entry speed, and material properties. The

entry mass, including the aeroshell, is 1,433 kg and the entry speed is 9.9 km/s. The maximum entry

temperature established by the ballute material is 500 °C, so a ballute radius of 23 m is required for a

material thickness of 14 µm. The 23 m radius represents the adequate radius for a disk shaped ballute,

creating a cross sectional area of 1,662 m2. Manipulation of this data for a torroidal ballute is done by

determining the dimensions that create an equivalent surface area (Ref #22).

Optimization of the torroidal shape is accomplished by considering the material mass, mass of Helium gas

needed for inflation, and opening size needed for the shockwave. The Helium gas mass drives most of the

optimization because the large surface area of the ballute creates a large volume to be filled by the Helium.

An inflated pressure of 25 kPa is chosen because little pressure is needed to maintain the shape of the

ballute in the zero pressure, zero gravity environment of deployment. The results are presented in Figure

40 and Table 15. Final analysis shows that there is a 34 m opening for the shockwave to travel through.

Shortening the length of the connecting tubes that run between the lander and the ballute solves further

problems with the torroid swallowing the shockwave. The lengths of the fiber and tubing used are

approximated as suggested. (Ref #22).

Figure 40 - Ballute with Final Dimensions

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Table 15 - Final Ballute Materials and Masses

Component Size Mass (kg) Film (Kapton, 20 g/m2) 1662 m2 33.24 Fiber (PBO fiber, 5 g/m) 15·Radius 4 Tubing (PBO film, 24 g/m) 20·Radius 10 Helium Gas (25 kPa) 145 m3 7 Total 54.24

4.9.5 - Trajectory

Entry trajectory and profile analysis is accomplished using second order differential equations for the

position. The second time derivative of the position is formulated from equation (4.6).

(4.6) xmamF

=⋅=

The position is calculated using a numerical integrator. The calculations take into account the drag and

gravity forces acting on the ballute. All other forces are considered negligible. The accelerations due to

drag and gravity are presented in equations (4.7) and (4.8) respectively.

(4.7) m

SxCx

d2

21

ρ

=

(4.8) xx

x

2

µ=

Cd is the coefficient of drag, which is only considered for the ballute because it generates most of the drag.

S is the cross section area of the ballute, and ρ is the density of the atmosphere. In the drag equation µ is

the gravitational parameter of Venus, 3.249×1014 m3/s2.

An accurate density model is required for the Venus entry and landing phase of the mission, from the

beginning of the significant atmosphere to approximately 60 km. Equation (4.9) is obtained by curve

fitting atmospheric data (Ref #16).

(4.9) 17.35) -x 0.8686 + x0.0133 - x0.0000625 x0912(-0.000000 234

e ⋅⋅⋅+⋅=ρ

This density model is used to plot the planetary trajectory as shown in Figure 41. The velocity tangential to

the planet’s surface decreases rapidly, denoted by the sharp turn in trajectory. This plot leads to the

conclusion that the lander experiences large decelerations during descent. The deceleration loads can be

minimized using Figure 42. A minimum deceleration load of 7.7 g is possible at an entry angle of 5.65° for

an entry speed of 9.87 km/s. The entry sensitivity figure can be used to determine the entry angle corridor

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that is necessary to sustain deceleration loads less than 10, which for the mission is approximately 0.2° and

gets smaller as the velocity increases.

Figure 41 - Venus Entry Trajectory

Entry trajectories are calculated using the conditions for the smallest deceleration load, and the resulting

deceleration and velocity values are plotted against the altitude in Figure 43 and Figure 44. Both of these

graphs show that the lander makes a slight skip during entry at an altitude of approximately a 115 km. The

velocity plot shows that the skip decreases the deceleration rate because the slope of the velocity curve

becomes larger at 115 km. These graphs also show that primary deceleration begins at approximately 120

km altitude where the density is still on the order of 10-6 kg/m3.

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Figure 42 - Entry Sensitivity

Figure 43 - Entry Deceleration and Density vs. Altitude

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Figure 44 - Velocity and Density verersus. Altitude

4.9.6 - Post-Entry Descent

The balloons multi-role mission includes descent and ascent. The most difficult situations for the balloon

during descent are extension (while connected to the ballute and lander) and then the subsequent inflation.

The balloon is extended by the ballute and upper aeroshell at nearly 70 km altitude while traveling at

approximately 10 m/s. The lander falls over 20 m as the balloon is extended and when the balloon is fully

extended the lander will undergo a nearly instantaneous 3 m/s change in velocity as the lander slows and

the ballute section speeds up again. This instantaneous load can be very dangerous to a thin balloon

material, so 5 rip-stitches are attached to the balloon to diminish the deceleration load. The rip-stitches are

located between the top of the aeroshell and the balloon and between the balloon and the platform. These

chords overlap the PBO fiber chords that also run between the balloon and platform, so that they can absorb

deceleration. Even if these chords melt during descent the PBO fibers are present to secure the attachment.

The descent trajectory uses the same equations and analysis techniques as the ascent trajectory. The initial

conditions are provided by the ballute entry trajectory analysis where the balloon is released at

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approximately 65 km. The resulting analysis is presented in Figure 45 where balloon descent altitude is

plotted against time. Most importantly the lander touches down after nearly 3 hours of descent from the

upper atmosphere and the touchdown speed is only 4 m/s, as shown in Figure 46.

Figure 45 - Descent Altitude vs. Time

Figure 46 - Descent Velocity vs. Time

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4.10 - Venus Ascent

4.10.1 - Venus Ascent Vehicle (Balloon)

The balloon is designed to serve two basic purposes; to slow the lander during descent and to raise the

rocket for eventual launch at an altitude of 60 km. The very limits of technology are pushed even farther in

designing a balloon to survive at such extremes as 150 mph winds, 460°C temperatures, 9 MPa pressures,

high impact velocities incurred while being dropped into the deployed position, and thick sulfuric acid

clouds. Balloon materials must exhibit:

• low gas permeability • acceptable pinhole seaming • acceptable fabrication and folding • toughness in tear resistance • toughness in impact resistance • high specific strength • resistance to sulfuric acid • maintenance of mechanical properties at high temperatures

The Venus Sample Return Mission requires the lander to descend through the atmosphere to the surface,

acquire the sample, and then return to a higher altitude for rocket ignition. A balloon is very advantageous

to the Venus Sample Return Mission because it has uses in both the descent phase and the ascent phase.

4.10.1.a - Material Selection

Finding a balloon material to satisfy all of the mission requirements is nearly impossible. A list of possible

balloon materials is listed in Table 16, and comparing the data it becomes relatively obvious that there

really is no comparison. PBO, polybenzoxazole, is

Table 16 - Balloon material comparison (Ref #35)

Specific Strength (in)

Material Film Fiber Maximum Working Temperature (°C)

PBO 68.8 495 – 516 500 Teflon 1.5 – 4.0 16 – 30 260 HDPE 4.5 – 5.9 519 80 – 120 Kapton 9.6 – 20.6 250 – 320

Upilex R 34.3 270 Upilex S 64.8 290 Kevlar 392 – 458 180

Spectra 1000 602 147 Vectran HS 345 – 432 110

Nomex 93 310

a conjugated aromatic heterocyclic liquid crystalline polymer that can withstand the rigors of this

environment unlike no other known organic material. PBO’s rigid-rod molecular structure as shown in

Figure 47 creates a microscopic self-reinforcing structure that gives PBO the strength and stiffness of a

composite without the fiber and matrix interface problems. PBO has no melting temperature, no glass

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transition temperature, and is highly resistant to corrosive chemicals. The rigid-rod structure makes PBO a

highly oriented fiber, which means that in its basic form, PBO will have little transverse strength. This is

commonly referred to as uniaxial orientation. This problem has been

Figure 47 - Chemical structure of PBO (Ref #42)

faced and solved with ingenuity by the people of Foster-Miller where a tri-modal die has been used to

produce biaxial PBO film. (Ref #35)

The mechanical properties of PBO also validate it for use in the Venus Sample Return Mission. Figure 48

displays the strength and modulus as they change with temperature

Figure 48 - Strength and Modulus vs. Temperature (Smith)

up to and beyond those temperatures that will be experienced during the mission. The expected

temperature on the surface of Venus is 460°C, so Figure 2 shows that at nearly 50 and 100 degrees higher

than the maximum mission temperature PBO retains 36% and 28% of its strength respectively.

Remarkably PBO retains enough strength at 500°C (31 kg/mm2) to be stronger than Mylar, Kapton, and

PET at room temperature. (Ref #42)

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Helium will be the buoyant gas selected for this mission due to its light weight; however, due to its small

size it is also important to ensure that the selected balloon material is not highly permeable to such a small

gas. The Helium permeability of the various candidate materials is shown in Figure 49, where once again

PBO is shown to stand far above it’s

0.1

1

10

100

1000

10000

100000

PBO Vectra Polyester Upilex Peek HDPE Teflon

Material

Per

mea

bili

ty (

mil/

100

in

2 *at

m *

day

)

Figure 49 - Helium Permeability of Several Possible Balloon Materials

competition as the best selection for balloon material.

Running sulfuric acid tests on PBO film shows that the acid has a profound effect on the mechanical

properties of PBO film. Samples soaked in sulfuric acid lose nearly 75% of their strength and become

plasticized. It was determined based on these results that a protective layer would need to be applied. (Ref

#31)

Possibilities for corrosive protection of the balloon include a fluoropolymer film and a noble metal coating.

Fluoropolymer films serve as a multilayer composite with the PBO. Fluoropolymers have very satisfactory

corrosive resistance, but they have poor heat resistance. The poor thermal-mechanical properties may be

excusable since the fluoropolymer would not be the load carrying film, but the other disadvantage is the

relatively high density of the fluoropolymers as shown in Table 17. Metal coatings can prove difficult to

sufficiently adhere to balloon materials but they also provide satisfactory corrosive protection for much less

mass. Based on the information provided in (Ref #31) from NASA, balloon manufacturers, and coating

experts, the best decision is to use a physical vapor disposition process to bond a protective layer of gold

onto the surface of PBO. For best adherence of the gold layer a tie coat metal layer would also need to be

deposited to the surface. Based on information from (Ref #31) the sufficient layering would be a tie coat

layer of Titanium from 50 to 100 Å thick and a gold layer from 1000 to 1200 Å thick. It is also noted that

the best adhesive results are obtained by a proprietary “heat and glow” treatment of the bonding surface.

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The resulting mass, shown in Table 17, shows that the mass savings for metal coating would be drastic, and

makes the use of metal coatings an easy decision despite their tendency to crack upon folding.

Table 17 - Possible Corrosive Protection Materials

Material Density (g/cm3) Coating Mass (g/m2)

PFA film (12.5 microns) 2.13 – 2.16 26.6 – 27.0

PTFE film (12.5 microns) 2.13 – 2.20 26.6 – 27.5

FEP film (12.5 microns) 2.14 – 2.17 26.8 – 27.1

Gold layer (1200Å) 19.3 2.316

Titanium tie coat (100Å) 4.5 0.034

Total metal coatings 2.350

The balloon seaming is another important issue to be solved, since typical stitches, tapes, and adhesives

cannot be used to attach one PBO gore to another. The configuration of

Figure 50 - Balloon Seam (from 99-3858)

the balloon seam is presented in Figure 50. PBO is used to cover the seam since no tape is available that

has mechanical properties that are equivalent. The stitching material is graphite fiber. Currently the most

promising adhesive is a non-MDA condensation Avimid N based adhesive. Technological advancement

and research are necessary in the areas of adhesives, balloon seaming, and metal coatings to ensure success

of the mission.

4.10.1.b - Shape and Size

The type of balloon used for the Venus Sample Return Mission is a zero pressure balloon meaning that the

pressure inside and out of the balloon is equal. The vast range of pressures and densities from the surface

of Venus to the target altitude means that the volume of the balloon will change drastically throughout the

mission timeline. The sizing of the balloon is done in iterative steps considering the mass to be lifted,

desired altitude, balloon film thickness, and resulting size and mass of the balloon. The equations needed

for analysis of the balloon volume are the buoyancy force, equation (4.10), and the ideal gas law, equation

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(4.11). Equation (4.12) is a manipulation of the buoyancy force equation, which gives the mass, mL, that

can be floated by balloon (for neutral buoyancy). V is the volume of the balloon, g is the acceleration due

to gravity, ρ is the density, R is the gas constant, and m is the mass of gas. Along with these equations it is

necessary to

(4.10) gVF ρ=

(4.11) VmLρ=

(4.12) mRTPV =

have equations for the temperature, pressure, and density for the range of altitudes that are to be utilized

during this phase of the mission, namely 0 to 66 km. The equations for temperature, pressure, and density

as a function of altitude in kilometers were derived using the data available in Venus and are presented in

equations (4.13), (4.14), and (4.15), respectively.

(4.13) 731.88 +x 7.7992- ⋅=T

(4.14) 16.04) +x 0.069 - h0.000088 + h-0.0000101exp( 23 ⋅⋅⋅=P

(4.15) 4.1772) + h0.0519 - h0.0002 - h-0.000005exp( 22 ⋅⋅⋅=ρ

Initial size estimates for the balloon sizing are made using the mass of the rocket and casing alone, and a 51

micron thick film and are presented in Table 18.

Table 18 - Initial Balloon Sizing Analysis

Float Altitude (km)

Balloon Float Volume (m3)

Required Mass of Helium (kg)

Surface Area of Sphere (m2)

Mass of Balloon Film

0 6 38.2 17 1.3 10 11 37.7 24 1.9 20 20 37.4 36 2.8 30 41 37.5 57 4.5 40 95 37.6 101 8.0 50 264 37.7 199 15.7 60 910 37.8 454 35.9 66 2444 37.9 878 69.3

It is apparent from this data that the balloon volumes needed to float at altitudes above 60 km begins to

grow exponentially. This process is done iteratively, while incorporating the values for the Helium mass

and film mass, realizing that the other masses will be minor in comparison to these issues.

A minimal required float altitude of 60km is established to finalize the calculations. A final balloon volume

is created by allotting for extra mass that is needed to complete the balloon, and accounting for extra gas

that creates lift above the required float lift. A fully inflated balloon volume of 1,375 m3 is established,

leaving the balloon shape as the next critical element. A sphere is the most efficient use of surface area for

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a given volume, but the only concern for the sphere is the film stresses occurring during deployment and

partial inflation. Those reasons dictate the need of a cone-shaped lower section. The balloon shape used in

the VSRM has a spherical top and a truncated cone shape on the bottom, and the film thickness is 51 µm.

The equation used to determine the bottom shape is denoted by equation (4.16), where x is the radial length,

y is the height, R is the radius of the hemisphere, and m is a scaling factor. The final balloon shape is

shown in Figure 51 and has a surface area of 615 m2.

(4.16)

⋅⋅=

mR

yRx cos

The payload is attached to the balloon using four PBO film flaps (2 per balloon side) and chords made from

PBO fiber. Chords run from each film to locks on the four edges of the lander platform.

Figure 51 - Balloon with both payload attachments

These same chords also continue in towards the rocket casing where they are connected a second time so

that they serve in both phases. After the sample has been collected the locks at the edges of the platform

disengage and the chords become taught to the rocket casing. Upon completion of the landing phase the

rocket casing is released from the platform and the balloon rises to complete the second part of its mission.

4.10.1.c - Balloon Ascent

The final key to assuring proper balloon design is proving satisfactory ascent of the rocket. The ascent

analysis is performed using a numerical integrator to solve second order differential equations for the

position of the balloon. The accelerations on the balloon include gravity, drag, and buoyancy and their

equations are represented in equations (4.17), (4.18), and (4.19), respectively. The coefficient of drag for

the balloon is taken to be 0.9.

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(4.17) xx

x

2

µ=

(4.18) m

SxCx

d2

21

ρ

=

(4.19) xxm

Vx

2

µρ ⋅=

These equations are utilized along with the pressure, temperature, and density equations to model the

balloon altitude, velocity, volume, and times during ascent. The first important factor that ascent plays in

balloon design is the time to ascend. At 54 km the temperature is 39 °C, a temperature that does not

endanger the rocket. The time that it takes for the balloon to achieve that altitude is directly related to

Figure 52 - Lifting Gas Analysis

the amount of Helium gas that used in the balloon. Time for ascent decreases as the amount of Helium

increases, and conversely as the amount of Helium increases the maximum attainable altitude decreases.

This relationship is presented in Figure 52. The amount of Helium chosen is based on the storage tank

limitations (approximately 63 kg, maximum height 59.3 km), and once the float altitude is reached, 13 kg

of Helium is vented from the balloon to reach a top out altitude of 61 km. The final specifications are

shown in Table 19; the rip-stitches are discussed in the Venus descent phase.

Table 19 - Final Balloon Specifications

Material / Part Mass (kg) Balloon film, PBO film,

(51 µm thick) 48

Seams, Adhesives, and Stitches 5

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Titanium tie coat (100Å) 0.02

Gold layer (1200Å) 1.4

Attachment Films (PBO film)

4

Attachment chord (PBO fiber, d=3.43mm)

0.200

Helium gas 63

5 Rip-stitches 5

Total 126.62

Using these values, the altitude is plotted against time for the ascent trajectory in Figure 53. It is important

to note that this data ignores the affects of high altitude winds. This analysis shows that the balloon ascent

takes just over 4.5 hours to reach maximum altitude and only 4.1 hours to reach 54 km.

Figure 53 - Ascent Altitude vs. Time

4.10.2 - Venus Ascent Vehicle (Rocket)

The Venus ascent vehicle is a two-stage rocket using solid propellant. The performance characteristics of

the propellant used to model the rocket are shown in Table 20. These characteristics are for a typical solid

propellant and were used for the preliminary design of the Venus ascent vehicle. In future studies, the use

of aluminized gelled propellants will be considered because they show an increase in performance for

rockets and have more complete, uniform propellant burns.

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Table 20 - Propellant Performance Characteristics (Ref #17 p353)

Propellant Performance Characteristics Chamber pressure (Pa) 5170000

Burning Time (s) 90 Isp (s) 290

Density (kg/m3) 1800 Characteristic Velocity (m/s) 1527

The motor case design for the two stages is constructed of a graphite composite with an epoxy resin matrix

for structural stability. The properties of the graphite are listed in Table 21. Other materials were

investigated during the design of the rocket, including Titanium, 2219 Aluminum, D6aC Steel, and 4130

Steel. The analysis performed on the Venusian rocket includes a 400 kg constraint on the total mass of the

system including payload since the rocket plus heat shielding needs to be lifted to a high altitude using a

balloon. Titanium was the only other material that had a positive payload of about 4 kg; the steel and

aluminum motor casings take up the entire dry mass payload. Graphite composite allows a payload size of

around 11.5 kg and so was decided upon as the material to use for the rocket even though graphite is the

most expensive material of the three.

Table 21 - Material Properties of Graphite (Ref #17 p310)

Graphite Properties Density (kg/m3) 1550 Tensile Strength (GPa) 1.0 Elasticity (GPa) 105

The modeling of the first and second stages was accomplished using the graphite and propellant properties

from Table 20 and Table 21. First, a single stage rocket was modeled to get an approximate size of the

rocket. The mass of the propellant, mp, was calculated using equation (4.20).

(4.20)

−⋅= ⋅

10gIsp

V

fp emm

Eqatuion (4.20) contains a simple ∆V needed to achieve the desired orbit, plus a gravity and drag

correction. A 750 m/s (Ref #19 p722) drag correction was used along with a gravity correction of 3% (Ref

#19 p722) of the total ∆V. The final mass, mf, was specified at 20 kg to include unloaded rocket mass and

payload mass. This number kept the total mass of the rocket under the 400 kg constraint. Numbers are run

with these conditions for various materials as described above, and estimated propellant masses are

calculated. Simple geometry equations are used to calculated the motor case size and estimate the unloaded

rocket mass. The thickness of the motor casing is estimated using a burst pressure and a factor of safety of

1.25. Once the initial rocket design is completed, a more detailed launch profile is done to determine the

number of stages and the size of each stage necessary to achieve the desired orbit. The detailed launch

profile is explained later in this section. Two burns are needed to achieve the desired orbit. The initial

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estimations of gravity and drag prove to be good since there is just the right amount of propellant to get into

the desired orbit. The time for each burn determines how the propellant is divided between the two stages.

These propellant masses are then input back into the rocket analysis to design the motor case and size for

each stage. Table 22 shows the details of the first stage of the Venus Ascent Vehicle. To maximize the

thrust, the nozzle is designed to expand to the average pressure that the first stage experiences. The throat

area of the nozzle is determined using equation (4.21) (Ref #17 p310). Exit areas of the nozzles are

calculated using equation (4.22) (Ref #38 p55).

Table 22 - Venus Ascent Vehicle Stage One Configuration

Mass Properties (kg) Propellant 242 Motor Case 6 Nozzle 0.0002 Igniter 0.0005

Total 248

Motor Case Properties (m) Length 1.3

Radius 0.18 Thickness 0.0016

Rocket Nozzle Properties Throat Area (m2) 0.00095 Exit Area (m2) 0.0066 Throat Diameter (m) 0.035

(4.21) Cb

Vt Pt

mpCA

⋅=

(4.22) γ

γγγ

γγγ

11

1

1

11

1

2

1−

−⋅

−+⋅

+

=

c

e

C

e

te

P

P

P

P

AA

Table 23 shows the details of the second stage of the Venus Ascent Vehicle. The nozzle for the second

stage is modeled to bring the exit pressure close to zero since the second stage fires outside the Venusian

atmosphere. Figure 54 is an AutoCAD rendering of the Venus Ascent Vehicle. The overall length of the

entire rocket is 2.15 m from the bottom of the first stage nozzle to the top of the blunt nose cone. Figure 55

shows the heights of the motor casing and nozzles with the sample capsule in the payload area. This rocket

design allows for an 11.5 kg sample capsule payload. The use of a better propellant increases the payload

mass; this is an area needing further study for optimization. The rocket’s total mass is about 310 kg

including the mass of the loaded sample capsule.

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Table 23 - Venus Ascent Vehicle Stage Two Configuration

Mass Properties (kg) Propellant 49

Motor Case 2.5 Nozzle 8.00×10-05 Igniter 0.00019 Total 51

Motor Case Properties (m) Length 0.26 Radius 0.18 Thickness 0.0016

Rocket Nozzle Properties Throat Area (m2) 0.00095 Exit Area (m2) 0.0115 Throat Diameter (m) 0.035

Figure 54 - Venus Ascent Vehicle Concept

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Figure 55 - Venus Ascent Vehicle Dimensions

The rocket’s flight profile is calculated using the equations of motion that take into account a drag profile

and the gravity turn as seen in equation (4.23).

(4.23) ravityGragDhrustTrm

++=

Thrust was modeled using equation (4.24). Drag was modeled using equation (4.25) and the gravity was

modeled using equation (4.26). The symbols used are defined as follows: γ is the flight path angle, Ve is the

exit velocity, ρ is the density, A is the cross sectional area, V is the current velocity, CD is the drag

coefficient, µ is the gravitational constant, r is the current radius from Venus, and er and eθ are the

coordinate system of the rocket.

(4.24) ( ) ( )( )θγγ eemVehrustT r ˆcosˆsin ⋅+⋅⋅⋅=

(4.25) ( ) ( )( )θγγρ eeACVragD rD ˆcosˆsin2

1 2 ⋅+⋅⋅⋅⋅⋅⋅=

(4.26) rrocket e

r

mravityG ˆ

2⋅⋅= µ

These equations are turned into four first order ordinary differential equations and solved using MatLab.

Initial conditions are modified until the desired orbit is attained. The following data are the results from an

800 km circular orbit optimization. The first stage provides 75 seconds of constant thrust getting the rocket

to 147 km off the surface of Venus. Next, the first stage motor case and nozzle are ejected leaving the

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payload and second stage. The rocket remains in an elliptical orbit for 534 seconds. After 534 seconds the

rocket becomes tangent to the desired 800 km orbit. The second stage then fires for 15 seconds bringing

the speed of the rocket to match that of the 800 km desired orbit. The second stage motor case and nozzle

are then ejected from the payload sample capsule. The payload sample capsule remains in orbit until the

orbiter rendezvous and collects the capsule. Figure 56 shows the over all launch profile from the surface of

Venus to the 800 km orbit. Figure 57 is a close up of the surface to orbit launch profile. The profile of the

rocket’s altitude with respect to time can be seen in Figure 58.

The orbiter is unable to achieve an 800 km circular orbit within three years. In the next design loop the

rocket needs to be resized for an elliptical orbit with a perigee of 800 km with a velocity of 9.53 km/s and

an apogee of 273,000 km. Initial calculations determine that the rocket only needs 2.9 seconds of extra

thrust during the second stage to achieve this orbit.

Figure 56 - Venus Ascent Vehicle Flight Path Profile

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Figure 57 - Venus Ascent Vehicle Launch Profile

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Figure 58 - Venus Ascent Vehicle Altitude versus Time Plot

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Chapter 5 - Earth Entry Vehicle

5.1 - Configuration

The EEV is a 60-degree blunt body capsule, which is modeled after NASA and JPL’s Stardust Sample

Return Capsule (Ref #23). The EEV is composed of aluminum with a maximum cross sectional diameter

of 1.5 m and a height of 0.9 m. Two drogue parachutes and three reinforced ring-slot descent parachutes

are contained inside the EEV (Ref #24). Barometric switches are used to deploy the parachutes at the

appropriate altitude (Ref #28). Also contained inside the EEV are the onboard computer, batteries, and a

radio locator beacon. The radio locator beacon is activated upon parachute deployment. The radio locator

uses approximately 5 W of power and has a range of 3 km.

The Venus Sample Capsule remains in the captured position throughout the entry and landing procedure.

No floatation system is used for the EEV. The EEV displaces 955 kg of seawater when fully submerged,

and the mass of the EEV is 242 kg, therefore the EEV is buoyant in water.

5.1.1 - Sample Collector

It is the job of the orbiter to capture the VSC after the VAV launches it into orbit. A rendezvous cone,

which is modeled after the European Space Agency (ESA) rendezvous cone, is extended when the Venus

Lander detaches from the orbiter (Ref #8). The rendezvous cone is designed so that once the VSC enters

the cone it cannot bounce out. The narrow end of the capture cone leads to a narrowing cylinder that runs

through the Earth Entry Vehicle. The VSC travels through the EEV cylinder to the narrow end where it

hard-docks with the EEV.

Figure 59 - Orbiter, EEV, with Extended Cone

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The VSC travels through the EEV cylinder and comes to rest in the Capsule Containment Compartment.

Three capture claws latch around the VSC to hold it in place until it can be retrieved after Earth entry (Ref

#8). After the sample capture maneuver is complete, the rendezvous cone is jettisoned to reduce the

spacecraft mass for the return trip to Earth.

5.2 - Thermal

The heat shielding for the EEV consists of two layers of Composite Flexible Blanket Insulation (CFBI).

CFBI is designed to have high emissivity, resistance to a high heat flux, and insulation capability between

1450 and 1650 degrees C. Two types of insulation, CFBI-1 and CFBI-2, have been tested at pressures of

1.0, 0.1 and 0.01 atm and temperatures of 23, 200, and 400 degrees C (Ref #41). The apparent thermal

conductivity of CFBI-1 and CFBI-2 is shown in Table 24.

Table 24 - Apparent Thermal Conductivity (Ref #41)

CFBI-1 CFBI-2 Temperature (°C) at 1.0 ATM

Thermal Conductivity (W/m⋅K)

23 0.036 0.035 200 0.051 0.049 400 0.059 0.084

CFBI-1 is made of silicon carbide and alumina covered with aluminized Kapton on one side, whereas

CFBI-2 is covered with aluminized Kapton on both sides. Both CFBI-1 and CFBI-2 are 0.026 m thick and

have average densities of 133 kg/m3 and 149 kg/m3 respectively (Ref #41). CFBI-1 is chosen over CFBI-2

for use on the Earth Entry Vehicle because of its lower average density and lower thermal conductivity at

higher temperatures.

5.3 - Attitude Determination and Control Systems

The EEV requires a separate ADCS from the orbiter, since it operates independently during Earth re-entry

and landing. The EEV is equipped with hydrazine-fluoride thrusters for three-axis attitude control. There

are two thrusters directed along each axis, for a total of six thrusters. The tanks required for the fuel have a

radius of 0.059 m, thickness of 0.00026 m, and mass of 0.0314 kg. The fuel mass is 0.858 kg. The

oxidizer tanks are the same size, and the oxidizer mass is 1.287 kg. The thrusters are fired when needed to

maintain the proper orientation in orbit and for re-entry. Each thruster provides a V of 25 m/s.

The EEV has two types of attitude determination sensors: sun sensors and horizon sensors. The sun sensor

used is identical to those on the spacecraft orbiter. The horizon sensor is the Horizon Crossing Indicator

(HCI) provided by Ithaco. The HCI provides 0.1-degree accuracy with a 1.0 degree x 1.0 degree FOV, with

a low mass of 0.65 kg. It requires less than 0.7 W of power with a peak current of 3 A. Both sensors are

mounted on the EIP, but at a distance away from the thrusters such that any propellant exhaust will not

affect their performance.

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5.4 - Power

The EEV has two separate power systems, one for the return vehicle, and one for the attached EIP. Lithium

Ion batteries from Saft are utilized, with the battery packages resized to fit the requirements of the EEV

lander and EIP. The two power systems are separate since the EIP is discarded once atmospheric reentry is

underway, and the EEV still requires power for the beacon and parachute deployment mechanism. The

power capacity required for the EEV primary battery is approximately 25 W·hr, assuming a 15 minute time

period for atmospheric entry and additional operational time the EEV to be detected and found. One

lithium ion primary battery is sufficient for this final phase of the mission.

5.5 - Computer

The earth lander computer will control the thruster package separation, the parachute deployment schemes,

and control the radio locator beacon that is located on the lander.

The Dual Single Board Computer (DSBC) was selected for this mission. This computer system can

perform 1.15 MIPS at 6 MHz and only requires 5.5 W of power at its maximum peak and 4 W of power

during normal operation. This computer system is radiation hardened, costs nearly $50,000, and can be

seen in Error! Reference source not found.. (Ref #14)

Figure 60 - DSBC Computer

5.6 - Propulsion

The EIP consists of two main thrusters, which are used to provide the necessary ∆V to insert the EEV into a

direct Earth entry trajectory. The EEV attitude control system consists of four secondary thrusters, which

are used to re-orient the EEV during the Earth entry insertion maneuver and to maintain the proper attitude

for entry. Each thruster on the EIP utilizes a fluorine (F2) and hydrazine (N2H4) bi-propellant system.

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Fluorine and hydrazine bi-propellant systems are used because of their relatively high vacuum specific

impulse (Isp) of 425 seconds, high thrust range of 5 N to 5×106 N. These systems also have low average

oxidizer and fuel bulk densities of 1.5 g/cm3 and 1.0 g/cm3 for fluorine and hydrazine respectively (Ref

#SMAD p692).

Table 25 - Performance Characteristics of Propulsion Systems (Ref #19 p692)

Type Propellant Energy Vacuum

Isp (sec)

Thrust Range

(N)

Avg. Bulk Density (g/cm3)

Cold gas N2, NH3, Freon, Helium

High pressure

50-75 0.05-200 0.28*, 0.60, 0.96*

Liquid: Monopropellant

H2O2, N2H4 Exothermic decom- position

150-225 0.05-0.5 1.44, 1.0

Bipropellant O2 and RP-1 Chemical 350 5-5×106 1.14 and 0.80 F2 and N2H4 Chemical 425 5-5×106 1.5 and 1.0 CIF5 and N2H4 Chemical 350 5-5×106 1.9 and 1.0

Dual Mode N2O4/N2H4 Chemical 330 3-200 1.9 and 1.0 * Gas densities at STP

5.7 - Earth Entry and Descent

The orbiter releases the EEV at the edge of Earth’s sphere of influence The EEV is facing in the orbital

velocity direction, and the heat shield is facing in the negative orbital velocity direction when the EEV

detaches from the orbiter.

Figure 61 - Orbiter and Earth Entry Vehicle Separation.

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The EIP thrusters fire to provide the necessary ∆V to insert the EEV into a direct Earth entry trajectory.

Next, the EIP thrusters fire to rotate the EEV 180-degrees about its non-symmetry axis so that the heat

shield is facing in the orbital velocity direction to prepare for atmospheric entry. The EIP is separated prior

to entry. The EEV enters the Earth’s atmosphere at approximately 11 km/s with an entry angle of

approximately 10 degree, and then free falls through the atmosphere. Two drogue parachutes are released to

slow down the EEV from approximately 140 m/s to 80 m/s at approximately 7 km altitude. At

approximately 3 km altitude three main descent parachutes are deployed and an omni-directional radio

locator beacon is activated. The main parachutes decelerate the EEV to a final landing velocity of

approximately 9 m/s (Ref #28). The VSC is recovered and the sample is taken to the appropriate facility

for analysis.

Figure 62 - Earth Entry Vehicle with Descent Parachutes

5.8 - Sample Analysis

Electron-microprobe, X-ray diffraction (XRD), transmission electron microscope (TEM) and scanning

electron microscopes (SEM) are techniques commonly used to obtain the mineral composition. All of these

techniques can be done in house at a university such as Virginia Tech. X-ray fluorescence (XRF) analysis

will be done to determine the bulk composition of the Venus sample. Virginia Tech does not have the

equipment to perform this bulk analysis, so it will have to be done at a national laboratory

The cost of all analysis done on the Venus sample depends on scientist salaries, equipment cost, sample

preparation time, and sample analysis time. Sample preparation time may take several hours, but sample

analysis time varies widely. Dr. Benedix of the Virginia Tech Geology Department estimates that the entire

sample analysis will cost approximately $50,000 (Ref #5).

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Chapter 6 - Cost Analysis

Determining the cost of a mission of this scope is inherently difficult. Many manufacturers are hesitant to

give out actual cost numbers for materials and fabrication for design projects such as this. The prices and

fabrication costs for some components are presented in Table _. Many of the structural components and off

the shelf electronics are presented here. Fabrication and material costs for experimental components such

as the insertion ballute, ascent balloon, and the aluminum coating for the sail blades are not known. The

total known cost for the mission of approximately 150 million dollars is well below the 650 million-dollar

budget. This cost estimate does not include any ground support costs or developmental costs for the

experimental components.

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Table 26 - Component Costs

Component Description

Company Purchasing

From Cost/Unit # of units Total Computer (orbiter) 603-E Honeywell Co. $400,000.00 2 $800,000.00

lander RHCP 32 vector chip Honeywell Co. $100,000.00 2 $200,000.00

sample case RHCP 32 vector chip Honeywell Co. $100,000.00 1 $100,000.00

Earth lander RHCP 32 vector chip Honeywell Co. $100,000.00 1 $100,000.00

Memory (sample) 45 MB Honeywell Co. $200,000.00 1 $200,000.00

Utrasonic Drill Cybersonics Inc. $8,000.00 1 $8,000.00

Mechanical Arm

hollow graphite epoxy in house $100,000.00

Sample Container $10,000.00 Sun sensors and star trackers Ball Aerospace $100,000.00 1 $100,000.00

Delta IV M+ Boeing Co. less than $145,000,000.00 1 $145,000,000.00

Helio-gyro blade Kapton layer DuPont $26,333.33 12 $316,000.00

Table 27 - Fabrication Costs

Component Description Company

Purchasing From Cost/Unit # of units Total

Venus lander platform $1,200.00 1 $1,200.00 Lander legs $1,000.00 4 $4,000.00 Heliogyro rings $4,000.00 2 $8,000.00 Orbiter bus Only structure $4,800.00 1 $4,800.00

Aeroshell 10 days at large facility $32,000.00 1 $32,000.00

The cost of all analysis done on the Venus sample depends on scientist salaries, equipment cost, sample

preparation time, and sample analysis time. Sample preparation time may take several hours, but sample

analysis time varies widely. Dr. Benedix of the Virginia Tech Geology Department estimates that the entire

sample analysis will cost approximately $50,000 (Ref #5).

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Appendix A – Mission Timeline

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Appendix B – Venus Lander Schematic

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Appendix C – Orbiter Schematic