Periodic orbits of the planar collision restricted 3-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collision Restricted 3-Body Problem, Continuation Method, Periodic Orbits

Scientific paper

Using the continuation method we prove that the circular and the
elliptic symmetric periodic orbits of the planar rotating Kepler problem
can be continued into periodic orbits of the planar collision restricted
3-body problem. Additionally, we also continue to this restricted
problem the so called “comet orbits”.

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