Central configurations in planar n-body problem with equal masses for n=5, 6, 7

被引：0
|
作者：
Moczurad, Malgorzata [1 ]
Zgliczynski, Piotr [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Prof Stanislawa Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2019年 / 131卷 / 10期
关键词：
Central configurations; Symmetries; Interval arithmetic; Krawczyk operator; FINITENESS;
D O I：
10.1007/s10569-019-9920-6
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for n = 5, 6, 7 with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For n = 8, 9, 10, we establish the existence of central configurations without any reflectional symmetry.
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页数：28
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