Synchronization of a restricted three body problem under the effect of radiation pressure

In this paper we have investigated the synchronization behavior ofa restricted three body problem under the effect of radiation pressureevolving from different initial conditions using active control techniquebased on the Lyapunov-stability theory and Routh-Hurwitz criteria.The designed controller with our own choice of coefficient matrix oferror dynamics are found to be effective in the stabilization of errorstates at the origin, thereby synchronization between the state variablesof two dynamical systems under the consideration. Numericalsimulations are presented to illustrate the effectiveness of the proposedcontrol techniques using mathematica.