The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses

Kuang, Wentian1,2; Ouyang, Tiancheng3; Xie, Zhifu4; Yan, Duokui5

2019-12

10.1088/1361-6544/ab360d

NONLINEARITY   影响因子和分区

0951-7715

1361-6544

In this paper, we study the variational properties of two special orbits: a Schubart orbit and a Broucke-Henon orbit. We show that under an appropriate topological constraint, a minimizer must be either a Schubart orbit or a Broucke-Henon orbit. One of the main challenges is to prove that a Schubart orbit coincides with a minimizer connecting a collinear configuration with a binary collision and an isosceles configuration. A new geometric argument is introduced to overcome this challenge.

Broucke-Henon orbit Schubart orbit three-body problem variational method

SCI

英语

第一

NSFC[11432001] ; NSFC[11871086]

Mathematics ; Physics

Mathematics, Applied ; Physics, Mathematical

WOS:000495750800001

IOP PUBLISHING LTD

MATHEMATICS

Web of Science

1.Southern Univ Sci & Technol, Dept Math, Shenzhen 58055, Guangdong, Peoples R China
2.Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
3.Brigham Young Univ, Dept Math, Provo, UT 84602 USA
4.Univ Southern Mississippi, Dept Math, Hattiesburg, MS 39406 USA
5.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

Kuang, Wentian,Ouyang, Tiancheng,Xie, Zhifu,et al. The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses[J]. NONLINEARITY,2019,32(12):4639-4664.

Kuang, Wentian,Ouyang, Tiancheng,Xie, Zhifu,&Yan, Duokui.(2019).The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses.NONLINEARITY,32(12),4639-4664.

Kuang, Wentian,et al."The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses".NONLINEARITY 32.12(2019):4639-4664.