A Symmetric Spatial Periodic Orbit in the 2n-Body Problem

Kuang, Wentian1,2; Ouyang, Tiancheng3; Yan, Duokui4

2020-07-13

10.1007/s10884-020-09869-w

Journal of Dynamics and Differential Equations   影响因子和分区

1040-7294

1572-9222

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.

Celestial mechanics n-body problem Spatial orbit

SCI

英语

其他

NSFC[11871086] ; China Postdoctoral Science Foundation[2019M660970]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000548097400002

SPRINGER

Web of Science

1.Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
3.Brigham Young Univ, Dept Math, Provo, UT 84602 USA
4.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

Kuang, Wentian,Ouyang, Tiancheng,Yan, Duokui. A Symmetric Spatial Periodic Orbit in the 2n-Body Problem[J]. Journal of Dynamics and Differential Equations,2020.

Kuang, Wentian,Ouyang, Tiancheng,&Yan, Duokui.(2020).A Symmetric Spatial Periodic Orbit in the 2n-Body Problem.Journal of Dynamics and Differential Equations.

Kuang, Wentian,et al."A Symmetric Spatial Periodic Orbit in the 2n-Body Problem".Journal of Dynamics and Differential Equations (2020).