Astronomy 111 – Lecture 18 Our Sun - An Overview.

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Transcript of Astronomy 111 – Lecture 18 Our Sun - An Overview.

Astronomy 111 – Lecture 18

Our Sun

-

An Overview

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Basic Concepts

• Size and Composition of Sun

• Age and Energy Problem

• Models of the Sun

• The Atmosphere of the Sun

• The Future of the Sun

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Basic Sun Data

• Distance to Earth – Mean Distance : 1 AU = 149,598,000 km (light travel

time to Earth = 8.32 min)

– Maximum : 152,000,000 km

– Minimum : 147,000,000 km

• Mean angular diameter : 32 arcmin• Radius : 696,000 km = 109 Earth radii• Mass : 1.9891 x 1030 kg = 3.33 x 105 Earth Masses

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Basic Sun Data

• Composition (by mass)– 74% Hydrogen, 25% Helium, 1% other elements

• Composition (by number of atoms)– 92.1% Hydrogen, 7.8% Helium, 0.1% other elements

• Mean Density : 1.4 g cm-3

• Mean Temperatures– Surface 5800 K, Centre 15.5 Million K (!)

• Total Luminosity : 3.86 x 1026 W (1 sec enough energy for 1 million years for humankind)

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How old is the Sun ?

• Really problematic : Sun does not come with a time-stamp, shows no wrinkles etc…

• Start with Earth & Solar System– Date geological formations, rocks

• Various geochronometrical methods using radioactive decay properties >4.2 billion years

– Find oldest meteorites 4.5-4.7 billion years

• Conclusion : Sun at least that old !

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What fuel does the Sun use ?

• A truly gigantic energy crisis emerges:– Sun is billions of years old.– Life on Earth as well. Sun must shine roughly like today for

already a long time.

• How does it create all the energy ?

• What keeps the Sun so hot ?

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The Solar Energy Source

• First guesses (early 18th century) :– Chemical Processes (‘burning’ fuel)

• Maximum burning time : 10,000 years !

– Using gravitational energy (Kelvin-Helmholtz mechanism, mid-1800s)

• Slow contraction of Sun releases energy, heats gas up -> energy radiated into space

• Maximum contraction time : 25 million years !

• Only important at very early stage (birth of Sun)

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A new Energy Source

• Problem : – Need more energy released per atom

• Solution :– Albert Einstein : E = mc2

• m = mass, c = speed of light, E = energy

• Mass and energy are equivalent.

• Why does that help ? – Speed of light is a large number !

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Thermonuclear Fusion

• Turning mass into energy : – Transforming Hydrogen into Helium

– Mass balance : 4 1H atoms 6.693 x 10-27 kg

1 4He atom 6.645 x 10-27 kg

------------------------------------

Mass lost : 0.048 x 10-27 kg

• Extremely efficient process :– Fusing 1 kg of Hydrogen releases same energy as

burning 20,000 metric tons of coal !

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Thermonuclear Fusion

• How much hydrogen must be converted to give solar luminosity ?– 600 million metric tons per second !– Sounds enormous, but…..– Sun has enough fuel for at least 9 billion years

• Solution to energy crisis !

• Problem : How does fusion work in detail ?

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Thermonuclear Fusion

• ‘nuclear’ – regarding nuclei of atoms

• ‘fusion’ – putting together (NOT fission)

• ‘thermo’ – need enormous temperatures as nuclei do not fuse easily due to electric repulsion

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• Introducing the Proton-Proton Chain

Thermonuclear Fusion

(twice) eHpp e2

(twice) HepH 32 ppHeHeHe 433

positron

neutrino

2H

positron

neutrino

2H

photon

3He

4He

photon

3He

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Models of the Sun

• Solar surface temperature ~ 5800 K• Temperature required for fusion ~ 10 million K• Fusion can only occur at core of the Sun !• Can we understand and describe the conditions

inside the Sun ?• Use theoretical models !

– Start with well-known principles and laws of physics

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Models of the Sun

• Observational Fact 1 :– The Sun does not change size over long periods

of time, keeps its shape quite well.

• Principle of Hydrostatic Equilibrium– Pressure and Gravity maintain a balance.

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Hydrostatic Equilibrium

Gas Pressure

Gravity

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Models of the Sun

• Conclusions :

• Pressure increases with depth

• Temperature increases with depth

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Models of the Sun

• Observational Fact 2 :– The Sun does not heat up or cool down over

long periods of time, keeps its temperature quite well.

• Principle of Thermal Equilibrium– Energy Generation and Energy Transport

maintain a balance.

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Models of the Sun

• Modes of Energy Transport :– Heat conduction very inefficient for gases– Convection : ‘circulation of fluids’, upwelling

of hot gases– Radiative diffusion : Photons carrying away

energy

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Convection

cooler watersinks

Hot blob rises

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Photon Random Walk

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Models of the Sun

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Models of the Sun

• Construct computer model to describe state of solar material from core to atmosphere

• How can we test those models ?

• Do they describe the interior well ?

• How can we ‘see’ into the Sun ?

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Testing the Models

• Test 1 : Helioseismology– Sun vibrates (‘rings like a bell’)– Use waves to test interior structure– Same Principle as Geologist/Geophysicists with

Earthquakes– Nice analogy : Ripeness of melons

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Astronomers probe the solar interior usingthe Sun’s own vibrations

• Helioseismology is the study of how the Sun vibrates

• These vibrations have been used to infer pressures, densities, chemical compositions, and rotation rates within the Sun

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Testing the Models

• Test 2 : Catching solar neutrinos– By-products of fusion– Unlike photons, neutrinos escape solar interior

very easily– ‘Ghost-like’ particles : very, VERY hard to

detect• 1014 solar neutrinos every second through 1m2 on

Earth

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Catching Neutrinos

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The Solar Atmosphere

• Core of Sun hidden because gases become opaque

• Outermost layers show remarkable structures (‘atmosphere’)

• Tiny and much less dense than interior

• Nonetheless most important for life on our planet

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The Solar Atmosphere

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The Photosphere•Almost all of the visible light emanates from that small layer of gas.

• Temperature decreases upwards in photosphere.

• Sun darker at the edge ?

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The Photosphere

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The Photosphere

• Cooler layers further out Notice absorption lines in spectrum !

• Cool ? – Still about 4400 K at the upper edge of the

atmosphere.– Comparison : Siberian winter night to hot

tropical day in Hawaii.

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The Photosphere

• Solar Granulation : Convection cells of gas in photosphere

• 4 million granules cover the solar surface

• Each granule covers area ~ Texas & Oklahama combined

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The Solar Chromosphere• Above the

photosphere is a layer of less dense but higher temperature gases called the chromosphere

• Spicules extend upward from the photosphere into the chromosphere along the boundaries of supergranules

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The Solar Chromosphere

• Spectrum : Emission lines ! Temperature must rise again :

– Top of chromosphere : 25,000 K

• Approximately 300,000 spicules exist at one time, each last about 15 minutes

• Covering ~ 1 % of solar surface

• Phenomenon related to Sun’s magnetic field

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• The outermost layer of the solar atmosphere, the corona, is made of very high-temperature gases at extremely low density

• The solar corona blends into the solar wind at great distances from the Sun

The Solar Corona

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The corona ejects mass into space to form the solar wind

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Activity in the corona includes coronal mass ejections and coronal holes

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Sunspots are low-temperature regions inthe photosphere

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Sunspots are produced by a 22-year cyclein the Sun’s magnetic field

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The magnetic-dynamo model suggests that many features of the solar cycle are due to changes in the Sun’s magnetic field

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The future of the Sun

• Equilibrium holds due to energy generation

• What happens when Sun runs out of fuel ?

• Drama at the End of the Solar Life

• A story for another day….

• When will that happen ?– ~ 4.0 – 5.0 billion years from now– Puuuh, we are safe !

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