Synchronization control of two identical three restricted body problems via active control

Abstract

This article presents the chaos synchronization problem of the restricted three body problem (RTBP) when the primaries are moving in a circular orbit around their center of mass in the non-uniform motion. The feedback controller for the stability of the closed-loop system is designed using the active control strategy. Simulation results satisfy the theoretical findings. For validation of results by numerical simulations, the mathematica 10 is used when the primaries are Mars and Earth.