1. A Symmetric Spatial Periodic Orbit in the 2n-Body Problem.
- Author
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Kuang, Wentian, Ouyang, Tiancheng, and Yan, Duokui
- Subjects
NUMERICAL calculations ,MANY-body problem ,CELESTIAL mechanics - Abstract
For each given n ≥ 2 , we study the variational existence of a new spatial periodic orbit in the 2n-body problem. Besides excluding possible collision singularities, the main challenges left are to show that the orbit is not a relative equilibrium and it is spatial. By introducing a new estimate in the collinear central configuration, we can prove that it is not a relative equilibrium in the 2n-body problem. Furthermore, with the help of numerical calculation, the orbit is spatial in the equal-mass four-body problem. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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