• COMPLETE SYNCRONIZATION OF THE PHOTOGRAVITATIONAL RESTRICTED THREE BODY PROBLEM WHEN BIGGER PRIMARY IS OBLATE SPHEROID AND SMALLER PRIMARY IS ELLIPSOID

MOHD. ARIF*

Abstract


In this article we have investigated the complete synchronization behavior of the planar restricted three body problem by taking into consideration the bigger primary is an oblate spheroids and source of radiation and smaller is ellipsoid  evolving from deferent initial conditions using active control technique based on the Lyapunov-stability theory and Routh-Hurwitz criteria. Numerical simulations are  performed to  plot  time  series  analysis  graphs  of the  master system  and  the  slave  system  which  further illustrate the effectiveness of the  proposed  control  techniques.


Keywords


Space dynamics, restricted three body problem, complete synchronization, hybrid synchronization, Lyapunov stability theory and Routh- Hurwitz criteria.

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