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arXiv · 2004.12732

Oscillatory orbits in the Restricted Planar 4 Body Problem

Tere Seara·Jianlu Zhang
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Abstract

The restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), of which the motion gives us general solutions of the three body problem. A trajectory is called {\it oscillatory} if it goes arbitrarily faraway but returns infinitely many times to the same bounded region. We prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits.

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Tere Seara, Jianlu Zhang. 2020-04-27. Oscillatory orbits in the Restricted Planar 4 Body Problem. https://doi.org/10.1088/1361-6544/abaf5f

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