Orbital MechanicsHardQuestion 6275
Question
A satellite of mass m revolves in circular orbit r₁. To transfer to orbit r₂ > r₁, minimum energy required:
- AGMm(1/r₁−1/r₂)/2Correct
- BGMm(1/r₂−1/r₁)/2
- CGMm/r₁
- DZero
Correct answer
GMm(1/r₁−1/r₂)/2
Explanation
ΔE = E₂−E₁ = −GMm/2r₂ − (−GMm/2r₁) = GMm(1/r₁−1/r₂)/2.