Energy levels of periodic solutions of the circular 2 2 Sitnikov problem - Mathematical PhysicsReport as inadecuate




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Abstract: We study a 2+2 body problem introduced in a previous paper as the circulardouble Sitnikov problem. Since the secondary bodies are moving on the sameperpendicular line where evolve the primaries, almost every solution is acollision orbit. We extend the solutions beyond collisions with a symplecticregularization and study the set of energy surfaces that contain periodicorbits and their foliations .



Author: H. Jiménez-Pérez, E. Lacomba

Source: https://arxiv.org/



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