THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 771-777.

THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

郑学塘¹, 郁丽忠¹, 覃一平²

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

收稿日期:1992-11-06 出版日期:1994-08-18 发布日期:1994-08-18
基金资助:
Project supported by the National Natural Science Foundation of China

THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

Zheng Xue-tang¹, Yu Li-zhong¹, Qin Yi-ping²

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

Received:1992-11-06 Online:1994-08-18 Published:1994-08-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： 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.

关键词: piezoelectric material, parallel crack, Schmidt method, dual-integral equation, stress and electric displacement, intensity factors, photogravitation, mass reduction factor, libration point

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.

Key words: piezoelectric material, parallel crack, Schmidt method, dual-integral equation, stress and electric displacement, intensity factors, photogravitation, mass reduction factor, libration point

郑学塘;郁丽忠;覃一平. THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 771-777.

Zheng Xue-tang;Yu Li-zhong;Qin Yi-ping. THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 771-777.

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THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

THE LIBRATION POINTS IN PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

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