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Optimum Launch problem

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I should also have specified that the two velocities are relative to the orbital velocity. And the term which "takes care" of Coriolis also means that, if no other forces are applied, angular momentum is conserved. So without that term in my model a normal elliptical orbit would not even be possible, since v_theta would stay constant, while v_r would change. So I indeed would have a to high orbital velocity according to my old model when I would reach apoapsis.

But with these eoms you do have to prevent that the radial velocity becomes zero.

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