圆形2+2 Sitnikov问题周期解的能级
Energy levels of periodic solutions of the circular 2+2 Sitnikov problem
摘要:
我们研究了一个2+2体问题,在以前的文件中介绍的圆形双Sitnikov问题。由于次级天体在与初级天体演化方向相同的垂线上运动,几乎所有解都是碰撞轨道。我们扩展的解决方案超出碰撞与辛正则化和研究的能量表面,包含周期轨道和它们的叶理。
英文摘要:
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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