Questions tagged [celestial-mechanics]
Celestial Mechanics is the branch of astronomy devoted to the study of the motion of the celestial bodies on the basis of the laws of gravitation.
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Kepler's third law and conservation of angular momentum: apparent fallacy
Angular momentum $L$ of a particle in central force is a constant of motion. So for circular orbit, $$L =mωr^2 = constant.$$
This implies $$ω ∝ 1/r^2,$$ hence the time period of revolution, $$T = 2π/ω ...
