Applied Mathematics and Mechanics

, Volume 15, Issue 8, pp 771–777 | Cite as

The libration points in photogravitational restricted three-body problem

  • Zheng Xue-tang
  • Yu Li-zhong
  • Qin Yi-ping


The photogravitational restricted three-body problem in which the mass reduction factors of two primaries q1, q2 ε −∞,1] are studied and an analytic method to estimate the number of libration points and to calculate their location is given in this paper. The results show that in photogravitational restricted three-body problem, the number of libration points is from one to seven for different q1 and q2. As application, the motion of dust grain like comet tail in the solar system is also discussed.

Key words

photogravitation mass reduction factor libration point 


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  1. [1]
    Radzievskii, V. V., The space photogravitational restriched three-body problem,Astron. Zh.,30, 3 (1953), 265–273. (in Russian)MathSciNetGoogle Scholar
  2. [2]
    Kunitsyn, A. L. and A. T. Tureshbaev, On the collinear libration points in the photogravitational three-body problem.Celest. Mech.,35, 2 (1985), 105–112.zbMATHMathSciNetCrossRefGoogle Scholar
  3. [3]
    Lukyanov, L. G., On the surfaces of zero velocity in the restricted photogravitational three-body problem.Astron. Zh.,65, 6 (1988), 1308–1318. (in Russian)Google Scholar
  4. [4]
    El-Shaboury, S. M., Existence of libration points in the restricted problem of three bodies with radiation pressure,Earth, Moon, Planets,48, 3 (1990), 243–250.zbMATHCrossRefGoogle Scholar
  5. [5]
    Kumar, V. and R. K. Choudhry, Nonlinear stability of the triangular libration points for the photogravitational elliptic restricted problem of three bodies,Celest, Mech.,48, 4 (1990), 299–317.MathSciNetCrossRefGoogle Scholar
  6. [6]
    Szebehely, V.,Theory of Orbits, Academic Press, New York and London. (1967), 16.Google Scholar
  7. [7]
    Zheng Xue-tang and Ni Cai-xia,Celestial Mechanics and Astrodynamics, Pekjing Normal University Press, Beijing (1989), 112 (in Chinese)Google Scholar
  8. [8]
    Zheng Xue-tang, The orbits disigning for interplanetary probes and artificial planetary satellites,Chinese Journal of Space Science,11, 1 (1991), 40–45. (in Chinese)Google Scholar

Copyright information

© SUT 1994

Authors and Affiliations

  • Zheng Xue-tang
    • 1
  • Yu Li-zhong
    • 1
  • Qin Yi-ping
    • 2
  1. 1.Dept. of Applied PhysicsNanjing University of Science and TechnologyNanjing
  2. 2.Yunnan ObservatoryAcademia SinicaKunming

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