Question

A satellite is in an orbit 35,786 km above the surface of the Earth. The radius of the Earth is approximately 6400 km. The satellite is moving at 3.07 km/s.
(a) How long does the satellite take to orbit the Earth once?
(b) What do you notice about the time period of this satellite?
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Answer 1

Answer:

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A geostationary orbit, also referred to as a geosynchronous equatorial orbit (GEO), is a circular geosynchronous orbit 35,786 kilometres (22,236 miles) in altitude above Earth's Equator (42,164 kilometers in radius from Earth's center) and following the direction of

A geostationary satellite orbits around the earth in a circular orbit of radius 36000km. Then, the time period of a spy satellite orbiting a few hundred kilometers above the earth's surface will approximately

For a satellite of mass m moving with a velocity v in a circular orbit of radius r around the earth of mass M, we have,

rmv2=r2GMm or v=rGM

But v=T2πr.

Thus T2πr=rGM or T∝r23

∴T1T2