Action minimizers under topological constraints intheplanar equal-mass four-body problem

作者：Yan, Duokui^*

来源：Journal of Differential Equations, 2018, 264(7): 4764-4805.

DOI：10.1016/j.jde.2017.12.029

• N-BODY PROBLEMS
• PERIODIC-SOLUTIONS
• 3-BODY PROBLEM
• ORBITS
• SINGULARITIES
• EXISTENCE

It is shown that in the planar equal-mass four-body problem, there exist two sets of action minimizers connecting two planar boundary configurations with fixed symmetry axes and specific order constraints: adouble isosceles configuration and an isosceles trapezoid configuration, while order constraints are introduced on the boundary configurations. By applying the level estimate method, these minimizers are shown to be collision-free and they can be extended to two new sets of periodic or quasi-periodic orbits.

• 出版日期2018-4-5
• 单位北京航空航天大学