SatellitesMediumQuestion 6238
Question
Period of satellite at height h = R above Earth surface (g, R given):
- A2π√(R/g)
- B2π√(8R/g)Correct
- C2π√(4R/g)
- D2π√(2R/g)
Correct answer
2π√(8R/g)
Explanation
r = R+h = 2R. T = 2π√(r³/GM) = 2π√(8R³/gR²) = 2π√(8R/g) = 2π√(8R/g).