(a) Show that if a satellite orbits very near the surface of a planet with period T, the density (mass volume) of the planet is p m V 3 GT2 (b) Estimate the density of the Earth, given that a satellite near the surface orbits with a period of about 85 min ...

a The speed of an object in nearsurface orbit around a planet is given by v GMR where M ...

(a) Show that if a satellite orbits very near the surface of a planet with period T,...

Question:

(a) Show that if a satellite orbits very near the surface of a planet with period T, the density (mass/volume) of the planet is p = m/V / 3π/GT2.
(b) Estimate the density of the Earth, given that a satellite near the surface orbits with a period of about 85 min.