Equilateral Triangular Configuration in the Perturbed Circular Restricted Four-Body Problem with Kerr-like Primaries and Variable Mass Test Particle

被引:0
|
作者
Abdullah [1 ]
机构
[1] Univ Delhi, Dyal Singh Coll, Dept Math, New Delhi, India
关键词
equilateral triangular configuration; Kerr-like primaries; stationary points; variable mass; EQUILIBRIUM POINTS; 3-BODY PROBLEM; ORBITS; STABILITY; REGIONS;
D O I
10.1134/S1063772923100013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The aim of this paper is to study the motion behaviour of the variable mass test particle which is moving under the various perturbation effects such as gravitational forces of the primaries, spin about their axes, the transition from the Newtonian to the beyond-Newtonian regime and also due to the Coriolis as well as centrifugal forces in the equilateral triangular configuration of the circular restricted four-body problem. After determining the equations of motion and quasi-Jacobi integral, we illustrate the locations of stationary points, their stability, Poincare surfaces of section and periodic orbits.
引用
收藏
页码:998 / 1007
页数:10
相关论文
共 31 条
  • [2] The Kerr-like Primaries in the Circular Hill Problem with Variable Mass
    Ansari, Abdullah A.
    Sahdev, Shiv K.
    SOLAR SYSTEM RESEARCH, 2022, 56 (06) : 433 - 444
  • [3] The Kerr-like Primaries in the Circular Hill Problem with Variable Mass
    Abdullah A. Ansari
    Shiv K. Sahdev
    Solar System Research, 2022, 56 : 433 - 444
  • [4] The Circular Restricted Four-body Problem With Triaxial Primaries and Variable Infinitesimal Mass
    Ansari, Abdullah A.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02): : 818 - 838
  • [5] Kerr-like oblate heterogeneous primaries in PCRFB problem with variable mass infinitesimal body
    Abdullah
    MODERN PHYSICS LETTERS A, 2024, 39 (04)
  • [6] Equilibrium dynamics of a circular restricted three-body problem with Kerr-like primaries
    H. I. Alrebdi
    Fredy L. Dubeibe
    Konstantinos E. Papadakis
    Euaggelos E. Zotos
    Nonlinear Dynamics, 2022, 107 : 433 - 456
  • [7] Equilibrium dynamics of a circular restricted three-body problem with Kerr-like primaries
    Alrebdi, H., I
    Dubeibe, Fredy L.
    Papadakis, Konstantinos E.
    Zotos, Euaggelos E.
    NONLINEAR DYNAMICS, 2022, 107 (01) : 433 - 456
  • [8] Generalized Elliptic Restricted Four-Body Problem with Variable Mass
    Ansari, Abdullah A.
    Prasad, Sada Nand
    ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2020, 46 (04): : 275 - 288
  • [9] Equilibrium stability in the triangular restricted four-body problem with non-spherical primaries
    Moneer, Eman M.
    Allawi, Yazan
    Elaissi, Samira
    Dubeibe, Fredy L.
    Zotos, Euaggelos E.
    CHAOS SOLITONS & FRACTALS, 2023, 175
  • [10] Numerical exploration of the motion of variable mass test particle on the perturbed circular restricted three-body configuration
    Ansari, Abdullah A.
    Kellil, Rabah
    Sahdev, Shiv Kumar
    NEW ASTRONOMY, 2022, 97