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A geo-stationary satellite orbits around...

A geo-stationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a spy satellite orbiting a few hundred kilometers above the earth's surface (R_("Earth") = 6400 " km")` will approximately be

A

1/2h

B

1h

C

2h

D

4h

Text Solution

Verified by Experts

The correct Answer is:
C
`T^2 prop R^3` Now, `R_C`=6400 km `T^2/(24)^2 =(6400/36000)^3 rArr` T=1.7 h
For the spy satellite, R is slightly greater than `R_C rArr T_S > T' therefore T_S=2h`
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