On the planar central configurations of rhomboidal and triangular four- and five-body problems

被引：10
|
作者：
Shoaib, Muhammad [1 ]
Kashif, Abdul Rehman [2 ]
Szucs-Csillik, Iharka [3 ]
机构：
[1] Abu Dhabi Mens Coll, Higher Coll Technol, POB 25035, Abu Dhabi, U Arab Emirates
[2] Capital Univ Sci & Technol, Dept Math, Islamabad, Pakistan
[3] Romanian Acad, Astron Inst, Ciresilor 19, Cluj Napoca 400487, Romania
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2017年 / 362卷 / 10期
关键词：
Central configuration; n-Body problem; Chaos; Periodic orbits; 4-BODY PROBLEM; STABILITY; ORBITS;
D O I：
10.1007/s10509-017-3161-5
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider a symmetric five-body problem with three unequal collinear masses on the axis of symmetry. The remaining two masses are symmetrically placed on both sides of the axis of symmetry. Regions of possible central configurations are derived for the four-and five-body problems. These regions are determined analytically and explored numerically. The equations of motion are regularized using Levi-Civita type transformations and then the phase space is investigated for chaotic and periodic orbits by means of Poincare surface of sections.
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页数：19
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