Sitnikov restricted four-body problem with radiation pressure

被引：33
|
作者：
Suraj, Md Sanam [1 ]
Hassan, M. R. [2 ]
机构：
[1] Univ Delhi, Dept Math, Shaheed Bhagat Singh Coll, New Delhi 110017, India
[2] SM Coll, Dept Math, Bhagalpur 812007, India
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2014年 / 349卷 / 02期
关键词：
Sitnikov problem; Four-body problem; Lindstedt-Poincare method; Perturbation theory; Radiation pressure; 3-BODY PROBLEM; PERIODIC-ORBITS; TRIANGULAR POINTS; MOTIONS; BIFURCATIONS; OBLATENESS; STABILITY; EXISTENCE; FAMILIES;
D O I：
10.1007/s10509-013-1687-8
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
An analytical study of the elliptic Sitnikov restricted four-body problem when all the primaries as source of same radiation pressure is presented. We find a solution, which is valid for small bounded oscillations in case of moderate eccentricity of the primary. We have linearized the equation of motion to obtain the Hill's type equation. Using the Courant and Snyder transformation, Hill's equation transformed into harmonic oscillator type equation. We have used the Lindstedt-Poincare perturbation method and again we have applied the Courant and Snyder transformation to obtain the final result.
引用
收藏
页码：705 / 716
页数：12
相关论文
共 50 条
  • [1] Sitnikov restricted four-body problem with radiation pressure
    Md Sanam Suraj
    M. R. Hassan
    Astrophysics and Space Science, 2014, 349 : 705 - 716
  • [2] Approximation Solution of the Nonlinear Circular Sitnikov Restricted Four-Body Problem
    Kumari, Reena
    Pal, Ashok Kumar
    Abouelmagd, Elbaz, I
    Alhowaity, Sawsan
    SYMMETRY-BASEL, 2021, 13 (10):
  • [3] Dynamical properties of the restricted four-body problem with radiation pressure
    Kalvouridis, T. J.
    Arribas, M.
    Elipe, A.
    MECHANICS RESEARCH COMMUNICATIONS, 2006, 33 (06) : 811 - 817
  • [4] Equilibrium Points in the Restricted Four-Body Problem with Radiation Pressure
    Singh, Jagadish
    Vincent, Aguda Ekele
    FEW-BODY SYSTEMS, 2016, 57 (01) : 83 - 91
  • [5] Equilibrium Points in the Restricted Four-Body Problem with Radiation Pressure
    Jagadish Singh
    Aguda Ekele Vincent
    Few-Body Systems, 2016, 57 : 83 - 91
  • [6] Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem
    Younis, Sahar H.
    Ismail, M. N.
    Mohamdien, Ghada F.
    Ibrahiem, A. H.
    JOURNAL OF APPLIED MATHEMATICS, 2021, 2021
  • [7] Approximate analytic periodic solution of circular Sitnikov restricted four-body problem
    Liu, Weijia
    Wu, Baisheng
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [8] Equilibria of the symmetric collinear restricted four-body problem with radiation pressure
    Arribas, M.
    Abad, A.
    Elipe, A.
    Palacios, M.
    ASTROPHYSICS AND SPACE SCIENCE, 2016, 361 (02) : 1 - 12
  • [9] The effect of radiation pressure on the basins of convergence in the restricted four-body problem
    Suraj, Md Sanam
    Aggarwal, Rajiv
    Asique, Md Chand
    Mittal, Amit
    CHAOS SOLITONS & FRACTALS, 2020, 141
  • [10] Equilibria of the symmetric collinear restricted four-body problem with radiation pressure
    M. Arribas
    A. Abad
    A. Elipe
    M. Palacios
    Astrophysics and Space Science, 2016, 361
12345