On the Stability of Artificial Collinear Points in the Restricted Three Body Problem under a Force Acting between the Primaries-Reference-Cited by-同舟云学术

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On the Stability of Artificial Collinear Points in the Restricted Three Body Problem under a Force Acting between the Primaries

Published:2023-07-26 Issue: Volume: Page:
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Author:

Mostafa A.¹,Yousef M. A.²

Affiliation:

1. Ain Shams University

2. King Abdulaziz University

Abstract

Abstract In this work, the collinear libration points in the circular ristricted three body problem are studied under the influence of applying a radial force. The problem is formulated with the addition of a force acting in the direction of the line between the two primaries. The positions of the collinear libration points and the stability conditions are found. The points L1 and L3 are poved to be always unstable under the existence of of a radial accelration, and the conditions for stability of L2 are found.

Publisher

Research Square Platform LLC

Reference13 articles.

1. Hill, G.w. (1878): "Researches in the lunar theory". Am. J. math. 1, 5, 129, 245, also collected Mathematical work of Hill, G.W“vol. 1, P. 284. Carnegie Inst. of Wash 1905.

2. Poincaré, H. (1899) “Les MethodesNouvelles de la Mécanique ”. Gauthier- Villars by Dover, 1950 (English edition by AID in 1993).

3. Szebhley, V. (1967), "Theory of orbits. The Restricted Problem of Three Bodies, Academic press.

4. G. D. Birkhoff, Dynamical Systems, American Mathematical Society, Providence, RI, USA, 1927.

5. T. Levi-Civita, “Sur la r´egularisation du probl`eme des troiscorps,” Acta Mathematica, vol. 42, pp. 99–144, 1920.[6] Eckstein, M. C.; Shi, Y. Y.; Kevorkian, J.(1966): Astron J., 17, 248.

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