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arXiv · 0903.2132

Energy levels of periodic solutions of the circular 2+2 Sitnikov problem

H. Jiménez-Pérez·E. Lacomba
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Abstract

We study a 2+2 body problem introduced in a previous paper as the circular double Sitnikov problem. Since the secondary bodies are moving on the same perpendicular line where evolve the primaries, almost every solution is a collision orbit. We extend the solutions beyond collisions with a symplectic regularization and study the set of energy surfaces that contain periodic orbits and their foliations .

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H. Jiménez-Pérez, E. Lacomba. 2010-04-11. Energy levels of periodic solutions of the circular 2+2 Sitnikov problem. https://doi.org/10.1007/s12346-009-0003-z

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