Question

do...the question geostationary.....

Answer 1

Given, Mass of earth M = 6 * 10^24 kg

Given, Mass of satellite, m = 200 kg

Given, Radius Re = 6.4 * 10^6 m

W.K.T gravitational constant, G = 6.67 * 10^-11

Given, Height of the satellite, h = 400 km = 0.4 * 10^6

Total energy of the satellite at height h = 1/2 mv^2  + (-GMem/Re + h)  ---- (1)

Orbital velocity of the satellite v = root GMe/Re+h  ----- (2)

Substitute (2) in (1), we get

h = 1/2 m (GMe/Re+h) - GMe/Re+h

    = -1/2(GMe/Re+h)

Energy required to expand the satellite = 1/2(GMe/Re+h)

                = 1/2 * 6.67 * 10^-11 * 6 * 10^24*200/(6.4 * 10^6 + 0.4 * 10^6)

                = 5.9 * 10^9 J.

Hope this helps!