Question

derive an equation for time period of geostationary satlite​

Answer 1

Answer:

Time period of satellite formula

Orbital Period Equation

The period of a satellite (T) and the mean distance from the central body (R) are related by the following equation: where T is the period of the satellite, R is the average radius of orbit for the satellite (distance from center of central planet), and G is 6.673 x 10-11 N•m2/kg2.

Answer 2

You don’t need to calculate anything. It has the same period as the Earth’s rotation: 23 hours and 56 minutes.

If you think the Earth’s rotation period is 24 hours exactly, you have forgotten that that is relative to the Sun. But we are actually moving around the Sun. The Earth actually rotates 366.25 (approx) times in a year, not 365.25.