This paper presents a numerical investigation on some characteristics and parameters related to the motion of an infinitesimal body with variable mass in five-body problem. The other four bodies are considered as primaries. The whole system forms a cyclic kite configuration and moves on a circle, the center of which is taken as the origin.We assume that the motion of the fifth infinitesimal body is affected by the other components of the system but it has no effect on their behavior. We started by setting the equations of motion of the fifth body by using Jeans’ law and Meshcherskii’s space-time transformations. Further, we determined numerically, using Mathematica software, the positions of Lagrangian points and basins of attraction in various planes. Finally, we investigated the linear stability of the Lagrangian points and noticed that all the Lagrangian points are unstable.

Included in

Other Physics Commons