(b) A satellite is orbiting the Earth in a circular orbit. Derive the relationship between the period, T and the radius of the orbit, R.
(c) A satellite with a mass of 1 337 kg is initially orbiting the planet Mars at an altitude of 45 000 km, gradually descending to a lower altitude of 316 km above the surface of the planet Mars.
Calculate the
(i)Potential energy of the satellite at the initial altitude
(ii)Change in energy of the satellite during the descend
(iii)Orbital speed of the satellite after descending the altitude of 316 km
[Mass of the planet Mars is 6.42 x 1023 kg and radius of the planet Mars is 3.39 × 10^6m]