The Libration Points in Photogravltational Restricted Three-Body Problem

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

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(8): 733-739

Zheng Xue-tang, Yu Li-zhong, Qin Yi-ping. The Libration Points in Photogravltational Restricted Three-Body Problem[J]. Applied Mathematics and Mechanics, 1994, 15(8): 733-739.

Citation:

Zheng Xue-tang, Yu Li-zhong, Qin Yi-ping. The Libration Points in Photogravltational Restricted Three-Body Problem[J]. Applied Mathematics and Mechanics, 1994, 15(8): 733-739.

Citation:

Zheng Xue-tang, Yu Li-zhong, Qin Yi-ping. The Libration Points in Photogravltational Restricted Three-Body Problem[J]. Applied Mathematics and Mechanics, 1994, 15(8): 733-739.

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The Libration Points in Photogravltational Restricted Three-Body Problem

1.
Dept. of Applied Physics, Nanjing University of Science and Technology, Nanjing;
2.
Yunnan Observatory, Academia Sinica, Kunming

Received Date: 1992-11-06
Publish Date: 1994-08-15

Abstract

Abstract

The photogravitational restricted three-body problem in which the mass reduction factors of two primaries q₁, q₂ [-∞, 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.
- photogravitation,
- mass reduction factor,
- libration point

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References(8)

References

[1]	Радзиевский В.В.,Пространственный случай ограиченной задачи трех излучающи гравитируюших тел,Асмр.Журн.,30(3)(1953),265-273.
[2]	Kunitsyn,A.L.and A.T.Tureshbaev,On the collinear libration points in the photogravitational three-body problem.Celesr Mech.,35,2(1985),105-112.
[3]	Луквянов Л.Г.,О доверхностях нулевой скорсти в ограниченной фотогравитадионний задаче трох тел,Асмр.Журн.,65(6)(1988),1308-1318.
[4]	EI-Shaboury,S.M.,Existence of]ibration points in the restricted problem of three bodies with radiation pressure,Earth,Moon,Planets,48,3(1990),243-250.
[5]	Kumar,V.and R.K.Choudhry,Nonlinear stability of the triangular libration points for the photogravit.ational elliptic restricted problem of three bodies,Celest,Mech.,48,4(1990),299-317.
[6]	Szebehely,V.,Theory of Orbits,Academic Press,New York and London.(1967),16.
[7]	郑学塘、倪彩霞,《天体力学和天文动力学》.北京师范大学出版社,北京(1989),112.
[8]	郑学塘,行星际火箭和人造行星卫星的轨道设计问题,空间科学学报,11(1)(1991),40-45