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A geostationary satellite orbits around ...

A geostationary satellite orbits around the earth in a circular orbit of radius 36,000 km. then the time period of a spy satellite orbiting a few hundred km (600 km) above the earth's surface (R=6400 km) will approximately be

A

`(1)/(2)h`

B

`1h`

C

`2h`

D

`4h`

Text Solution

Verified by Experts

The correct Answer is:
C
`T^(2)propR` with `R_(e)=6400km`
`(T^(2))/((24)^(2))=((6400)/(36000))^(3)impliesTapprox1.7hr`
For spy satellite R is slightly greater than
`R_(e)impliesT_(S) gt T therefore T_(S)=2hr`
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