DYNAMICAL BEHAVIOR OF AN INFINITESIMAL VARIABLE MASS BODY IN THE ELLIPTICAL HILL PROBLEM

被引:0
作者
Ansari, Abdullah A. [1 ]
Kellil, Rabah [2 ]
Sahdev, Shiv Kumar [3 ]
机构
[1] Int Ctr Adv Interdisciplinary Res, New Delhi, India
[2] Abbes Laghrour Univ, Khenchela, Algeria
[3] Univ Delhi, Shivaji Coll, New Delhi, India
来源
ROMANIAN ASTRONOMICAL JOURNAL | 2022年 / 32卷 / 01期
关键词
Hill's problem; Elliptical orbits; Variable mass; Transformations; EQUILIBRIUM POINTS; RESTRICTED PROBLEM; TRIANGULAR POINTS; STABILITY; OBLATENESS; PRIMARIES; R3BP; MOTION;
D O I
暂无
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The paper is about a characterization of dynamical properties of a small body with variable mass in an elliptical restricted three body Hill problem. It is assumed that the variation of the smallest body mass is according to Jeans' law. Using some particular transformations, we determine equations of motion and Jacobi quasi-integral for the model. These equations are used to determine numerically the locations of equilibrium points, projections of surfaces and basins of attracting domain. The stability of these points is also examined.
引用
收藏
页码:15 / 33
页数:19
相关论文
共 27 条
  • [1] A Planar Five-body Problem in a Framework of Heterogeneous and Mass Variation Effects
    Abouelmagd, Elbaz I.
    A. Ansari, Abdullah
    Ullah, M. Shahbaz
    Garcia Guirao, Juan Luis
    [J]. ASTRONOMICAL JOURNAL, 2020, 160 (05)
  • [2] Out of plane equilibrium points locations and the forbidden movement regions in the restricted three-body problem with variable mass
    Abouelmagd, Elbaz I.
    Mostafa, A.
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 2015, 357 (01)
  • [3] Ansari A.A., 2021, Appl. Math. Inf. Sci, V15, P189
  • [4] Ansari AA, 2020, ROM ASTRON J, V30, P135
  • [5] Ansari AA, 2019, PUNJAB UNIV J MATH, V51, P107
  • [6] Ansari AA, 2018, APPL APPL MATH, V13, P818
  • [7] Ansari AA, 2017, ITAL J PURE APPL MAT, P581
  • [8] Ashagwu, 2017, INT J ASTRONOMY ASTR, V4, P23
  • [9] Perturbed Hill's problem with variable mass
    Bouaziz, Ferdaous
    Ansari, Abdullah A.
    [J]. ASTRONOMISCHE NACHRICHTEN, 2021, 342 (04) : 666 - 674
  • [10] Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt
    Bouaziz-Kellil, Ferdaous
    [J]. ADVANCES IN ASTRONOMY, 2020, 2020