MadSci Network: Physics |
The Kepler result that MdA/dt is constant follows from conservation of angular momentum. When a comet loses mass by ejecting matter, it is the total angular momentum of the comet and all the matter it has ejected that is conserved. This means that MdA/dt for the comet will decrease, but its dA/dt will remain constant. The angular momentum loss by the comet will equal the angular momentum of the matter it ejected.
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