Existence of Equilibrium Points in the R3BP with Variable Mass When the Smaller Primary is an Oblate Spheroid  

作　　者：M. R. Hassan Sweta Kumari Md. Aminul Hassan 

机构地区：[1]Department of Mathematics, S. M. College, T. M. Bhagalpur University, Bhagalpur, India [2]Research Scholar, T. M. Bhagalpur University, Bhagalpur, India [3]GTE, Bangalore, India

出　　处：《International Journal of Astronomy and Astrophysics》2017年第2期45-61,共17页天文学与天体物理学国际期刊（英文）

摘　　要：The paper deals with the existence of equilibrium points in the restricted three-body problem when the smaller primary is an oblate spheroid and the infinitesimal body is of variable mass. Following the method of small parameters;the co-ordinates of collinear equilibrium points have been calculated, whereas the co-ordinates of triangular equilibrium points are established by classical method. On studying the surface of zero-velocity curves, it is found that the mass reduction factor has very minor effect on the location of the equilibrium points;whereas the oblateness parameter of the smaller primary has a significant role on the existence of equilibrium points.The paper deals with the existence of equilibrium points in the restricted three-body problem when the smaller primary is an oblate spheroid and the infinitesimal body is of variable mass. Following the method of small parameters;the co-ordinates of collinear equilibrium points have been calculated, whereas the co-ordinates of triangular equilibrium points are established by classical method. On studying the surface of zero-velocity curves, it is found that the mass reduction factor has very minor effect on the location of the equilibrium points;whereas the oblateness parameter of the smaller primary has a significant role on the existence of equilibrium points.

关 键 词：RESTRICTED THREE-BODY Problem Jean’s Law Space-Time Transformation OBLATENESS Equilibrium POINTS Surface of Zero-Velocity 

分 类 号：O1[理学—数学]