Fractal basins of attraction in the restricted four-body problem when the primaries are triaxial rigid bodies

被引：36

作者：

Suraj, Md Sanam ^{[1
]}

Asique, Md Chand ^{[2
]}

Prasad, Umakant ^{[3
]}

Hassan, M. R. ^{[4
]}

Shalini, Kumari ^{[5
]}

机构：

[1] Univ Delhi, Shri Guru Tegh Bahadur Khalsa Coll, North Campus, Delhi 110007, India

[2] TMBU, PG Dept Phys, Bhagalpur 812007, Bihar, India

[3] TMBU, Dept Phys, TNB Coll, Bhagalpur 812007, Bihar, India

[4] TMBU, Dept Math, SM Coll, Bhagalpur 812007, Bihar, India

[5] Univ Delhi, Dept Math, Zakir Husain Coll, New Delhi, India

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2017年 / 362卷 / 11期

关键词：

Restricted four-body problem; Triaxial rigid body; Lagrangian configuration; Newton-Raphson basins of convergence; EQUILIBRIUM POINTS; PERIODIC-ORBITS; RADIATION; CONVERGENCE; DYNAMICS; FAMILIES; ESCAPE;

D O I：

10.1007/s10509-017-3188-7

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The planar equilateral restricted four-body problem, formulated on the basis of Lagrange's triangular solutions is used to determine the existence and locations of libration points and the Newton-Raphson basins of convergence associated with these libration points. We have supposed that all the three primaries situated on the vertices of an equilateral triangle are triaxial rigid bodies. This paper also deals with the effect of these triaxiality parameters on the regions of motion where the test particle is free to move. Further, the regions on the configuration plane filled by the basins of attraction are determined by using the multivariate version of the Newton-Raphson iterative system. The numerical study reveals that the triaxiality of the primaries is one of the most influential parameters in the four-body problem.

引用

页数：16

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