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

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

2009-03-12

arxiv.org/abs/0903.2132v3

Qual. Theory Dyn. Syst. Vol 8, No 1, (2009) 1-23

Physics

Mathematical Physics

20 pages, 5 figures. This is not the final version.

Scientific paper

10.1007/s12346-009-0003-z

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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