Existence and stability of libration points in the restricted three body problem when the bigger primary is a triaxial rigid body and a source of radiation

被引:0
作者
Sharma, RK
Taqvi, ZA
Bhatnagar, KB
机构
[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India
[2] Ctr Fundamental Res Space Dynam & Celestial Mech, Delhi 110033, India
关键词
restricted three body problem; libration points; rigid body; source of radiation; stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with the stationary solutions of the planar restricted three body problem when the bigger primary is a triaxial rigid body and source of radiation with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points, two triangular and three collinear. It is further observed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0 less than or equal to mu < <mu>(crit) (the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of mu.
引用
收藏
页码:255 / 266
页数:12
相关论文
共 8 条
  • [1] ELSHABOURY SM, 1991, CELESTIAL MECH, V50, P199
  • [2] Khanna M., 1999, INDIAN J PURE APPL M, V30
  • [3] KHANNA M, 1998, INDIAN J PURE APPL M, V29
  • [4] McCusky S.W., 1963, INTRO CELESTIAL MECH
  • [5] SUBBARAO PV, 1975, ASTRON ASTROPHYS, V43, P381
  • [6] Szebehely V., 1967, THEORY ORBITS
  • [7] VIDYAKIN VV, 1974, ASTRON ZH+, V51, P1087
  • [8] Wintner A., 1941, ANAL FDN CELESTIAL M, P372