COMPLETE SYNCRONIZATION OF A PLANNER MAGNETIC BINARIES PROBLEM WHEN BIGGER PRIMARY IS OBLATE SPHEROID AND SMALLER PRIMARY IS ELLIPSOID

Abstract

We study the complete synchronization behavior of the planar magnetic-binaries problem by taking into consideration the bigger primary is oblate spheroids 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.