Existence of particular solutions in the generalised restricted problem of three bodies with variable masses |
| |
Authors: | S M El-Shaboury |
| |
Institution: | (1) Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt |
| |
Abstract: | The restricted problem of three bodies with variable masses is considered. It is assumed that the infinitesimal body is axisymmetric with constant mass and the finite bodies are spherical with variable masses such that the ratio of their masses remains constant. The motion of the finite bodies are determined by the Gyldén-Meshcherskii problem. It is seen that the collinear, triangular, and coplanar solutions not exist, but these solutions exist when the infinitesimal body be a spherical. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|