Energy levels of periodic solutions of the circular 2+2 Sitnikov problem
arXiv:0903.2132 · doi:10.1007/s12346-009-0003-z
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 .
20 pages, 5 figures. This is not the final version.