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

• 作者: M. R. Hassan Md. Aminul Hassan Sweta Kumari
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: Restricted THREE-BODY Problem Jean’s Law SPACE-TIME Transformation OBLATENESS Equilibrium POINTS Surface of Zero-Velocity
• 年，卷（期）: 2017,（2）
• 页码范围: 45-61
• 页数: 17页
• 分类号: O1

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.