A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day and has a radius of 42.2 km of its orbit about the Earth. For certain application, it is desirable to have a satellite that orbits the Earth with a period of precisely 2days. What should be the radius of such a (every-two-days) satellite

66.98 km

Explanation:

Given :

Initial time period, = 1 day

Radius of initial orbit, = 42.2 km

Final Time period, = 2 days

We know that,

The time period of satellite is

So, for    ...........(i)

For  ...................(ii)

Therefore, dividing equation (i) by (ii), we get

Therefore, the radius is 66.98 km.

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