# A satellite is in a circular orbit around a planet at an altitude 3r above the planets surface. The radius of the planet is r and the?

The satellite speed is v. Determine the mass of the planet.

### 1 Answer

Relevance

- billrussell42Lv 73 months agoFavorite Answer
radius of orbit is 4r

V = √(GM/R)

V = √(GM/4r)

V²4r = GM

M = V²4r/G

Satellite motion, circular

V = √(GM/R)

V = √(gR)

T = 2π√[R³/GM]

g = GM/R²

T is period of satellite in sec

V = velocity in m/s

g = acceleration of gravity in m/s²

(9.8 m/s² at ground level)

G = 6.673e-11 Nm²/kg²

M is mass of central body in kg

R is radius of orbit in m

Still have questions? Get your answers by asking now.