Collision orbits in the oblate planet problem

Mathematics

Scientific paper

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Celestial Mechanics, Collisions, Oblate Spheroids, Orbital Mechanics, Planets, Asymptotic Properties, Hill Method, Satellite Orbits, Singularity (Mathematics)

Scientific paper

In the present derivation of oblate planet problem properties, the
singularity is blown up in order to emphasize collision orbits. Several
families of these orbits are defined in terms of their asymptotic
behavior. The present analysis has particular, homothetic solutions
applicable to such other problems as the motion of Mercury.

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