On the triangular libration points in photogravitational restricted three-body problem with variable mass

2011 ◽  
Vol 337 (1) ◽  
pp. 107-113 ◽  
Author(s):  
Ming-Jiang Zhang ◽  
Chang-Yin Zhao ◽  
Yong-Qing Xiong
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Libration Points ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Triangular Libration Points ◽  
Three Body

scholarly journals The Libration Points and Hill Surfaces in the Restricted Problem of Three Variable-Mass Bodies

1993 ◽  
Vol 132 ◽  
pp. 277-288 ◽  
Author(s):  
A.A. Bekov
Keyword(s):  
Restricted Problem ◽  
Body Problem ◽  
Variable Mass ◽  
Libration Points ◽  
Stellar Systems ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Time Dependencies ◽  
Three Body

The paper deals with the study of the arising and disappearence of collinear (Eulerian) L1, L2, L3, triangular (Lagrangian) L4, L5, coplanar L6, L7, ring L0 and infinitely distant L±∞ solutions in a restricted problem of three variable-mass bodies for different time dependencies of main bodies masses and for some additional conditions imposed on the systems parameters. In this case it is assumed that the motion of variable-mass main bodies is determined by the Gylden-Mestschersky problem. The Bill surfaces in the restricted three-body problem where main bodies masses variate isotropically according to the Mestschersky law are studied. Certain possibilities of applying the results of investigations to nonstationary double stellar systems are discussed.

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