Circular restricted three-body problem when both the primaries are heterogeneous spheroid of three layers and infinitesimal body varies its mass

Journal of Astrophysics and Astronomy

ZIYAD ALI ALHUSSAIN^1¹  ABDULLAH A. ANSARI^1² 

[1] Department of Mathematics, Acharya Narendra Dev College, University of Delhi, New Delhi, India^2;Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al Majma’ah, Kingdom of Saudi Arabia^1

关键词: Heterogeneous spheroid;    variable mass;    regions of motion;    zero-velocity surfaces;    poincaré surfaces of section;    basins of convergence.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

The circular restricted three-body problem, where two primaries are taken as heterogeneous oblate spheroid with three layers of different densities and infinitesimal body varies its mass according to the Jeans law, has been studied. The system of equations of motion have been evaluated by using the Jeans law and hence the Jacobi integral has been determined. With the help of system of equations of motion, we have plotted the equilibrium points in different planes (in-plane and out-of planes), zero velocity curves, regions of possible motion, surfaces (zero-velocity surfaces with projections and Poincaré surfaces of section) and the basins of convergence with the variation of mass parameter. Finally, we have examined the stability of the equilibrium points with the help of Meshcherskii space–time inverse transformation of the above said model and revealed that all the equilibrium points are unstable.

【 授权许可】

CC BY