N. BAJAJ. Earth’s Gravitational Field g is also called the gravitational field strength Units:...
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Transcript of N. BAJAJ. Earth’s Gravitational Field g is also called the gravitational field strength Units:...
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N. BAJAJ
GRAVITATION AND PLANETARY MECHANICS(PHYSICS 12 – NELSON)
N. BAJAJ
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N. BAJAJ
Earth’s Gravitational Field
g is also called the gravitational field strength
Units: N/kg
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N. BAJAJ
History of Planetary Mechanics
Geocentric Model:Ptolemy
Heliocentric Model:Copernicus
Tychonic Model:Tycho Brahe
Kepler’s Elliptical Model
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N. BAJAJ
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N. BAJAJ
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N. BAJAJ
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N. BAJAJ
Kepler’s Third Law
and Newton’s
Law of Universal
Gravitation
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N. BAJAJ
http://www.youtube.com/watch?v=d__hN6nqi-k
http://www.youtube.com/watch?v=mbDQSxUXefk
http://www.youtube.com/watch?v=54MSV2B399o&feature=related
Space Flight: Applications of Orbital Mechanics
How do Satellites Work?
Satellites 101
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N. BAJAJ
Gravitational Potential Energy in General
Near Earth’s surface:
However, a few hundred kilometers above the surface of Earth, why does this equation become inaccurate?
the ‘g’ value starts decreasing
Therefore, a general way of determining the Eg must be found out
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N. BAJAJ
Remember, the law of universal gravitation:
In order to increase the separation between two masses such as these, work must be done
The force required to increase the separation between these two masses looks like this:
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N. BAJAJ
How are force, distance, and work related? How can work be found from this Force-Distance graph?
Area under the graph (N.m)
Rearrange the equation:
Therefore: E2 =
Therefore: E1 =
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N. BAJAJ
Illustration of Earth’s Potential Well
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N. BAJAJ
Gravitation Potential Energy atEarth’s Surface
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N. BAJAJ
Escape from Earth’s Gravitational Field
Rocket at rest on Earth: ET = Eg
Rocket in flight ET = Ek+Eg
Rocket reaches zero velocity at maximum heightET = Eg
Therefore, ET<0 and it is earth-bound
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N. BAJAJ
Escape velocity from Earth
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Binding Energy
On Earth’s surface In Earth’s Orbit
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N. BAJAJ
In Earth’s OrbitOn Earth’s surface
IS EQUAL TO