Gravitation MixedHardQuestion 6293
Question
For a double star system (masses M and 2M, separation d), they orbit their common COM. Angular velocity:
- A√(3GM/d³)Correct
- B√(GM/d³)
- C√(2GM/d³)
- D√(GM/d)
Correct answer
√(3GM/d³)
Explanation
Total mass = 3M. ω²×r = GM_other/d². For circular orbits about COM: ω = √(3GM/d³)... standard: ω = √(G×3M/d³) = √(3GM/d³).