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They are both conserved. So when rigid gravitational masses move past each other, they will follow curved paths such that the total angular momentum and kinetic energy remain constant.

What is the relationship between kinetic energy and angular momentum?

Quote from: jeffreyHWhat is the relationship between kinetic energy and angular momentum?Jeff. Have you studied Lagrangian or Hamiltonian mechanics as of yet? If so then you'd have known the answer to this question. That's the benefit of studying various forms of mechanics.You want a relationship between K and p, right? p = mvQ.E.D.

I have studied neither yet but I need to get round to that. Thanks for the equations they will be useful. Do you have any recommendations for textbooks on the above mentioned mechanics?