Fixed Satellites (often called Geosynchronous Satellites) are called that because they are always above the same point on Earth while orbiting around Earth (mEarth = 6 ∗1024kg). a) Draw a Free-Body Diagram of the Satellite’s motion as it orbits the Earth b) Find the period TLB of the city of Long Beach as it rotates around the Earth. c) Find the period TS of the city of Satellite as it maintains a position always above Long Beach d) Determine the acceleration the satellite must feel as a function of distance and TS . e) Find the distance the satellite must be away from the center of the Earth in order to maintain this orbit (hint: parts a and d will help you) f) Find the angular momentum the satellite should have if its mass is 100kg. Explain through conservation laws why you know the angular momentum should be a constant.
Fixed Satellites (often called Geosynchronous Satellites) are called that because they are
always above the same point on Earth while orbiting around Earth (mEarth = 6 ∗1024kg).
a) Draw a Free-Body Diagram of the Satellite’s motion as it orbits the Earth
b) Find the period TLB of the city of Long Beach as it rotates around the Earth.
c) Find the period TS of the city of Satellite as it maintains a position always
above Long Beach
d) Determine the acceleration the satellite must feel as a function of distance
and TS .
e) Find the distance the satellite must be away from the center of the Earth in
order to maintain this orbit (hint: parts a and d will help you)
f) Find the
Explain through conservation laws why you know the angular momentum should be a
constant.
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d) Determine the acceleration the satellite must feel as a function of distance and TS.
e) Find the distance the satellite must be away from the center of the Earth in order to maintain this orbit (hint: parts a and d will help you)
f) Find the
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