Stability Of Equilibrium Points In The Elliptic Restricted Three Body Problem With Restricted Three Body Problem With Radiating And Tri Axial Primaries

Abstract

The launching of the rocket on 15th February 2017 by ISRO is a remarkable achievement newlineof India in the world space club. India is the first country in the world to script history newlineafter launching the 104 satellites in a single rocket. The credit goes to the sincere efforts newlineof the Indian researchers and the scientists. The satellites move around the Sun- Earth newlinesystem. The study of the restricted three body model has a direct application in the space newlinetechnology. To remain persistent in the world space club with further improvements is the newlinemotivation behind the present research work. newlineThe three body problem consisting of three masses interacting through Newtonian newlinegravity without any restrictions on the initial positions and velocities has gained the attentions newlineof scientists and researchers all over the world for more than 300 years. The three newlinebody problem has gone through many historical and modern developments since its inception. newlineThe three body problem was further categorized as a general and a restricted(circular newlineand elliptic) three body problems. newlineThe restricted problem of three bodies is one of the most important problem of newlineCelestial Mechanics. The restricted three body problem is a particular case of general newlinethree body problem. The primaries in the restricted three body problem the primaries move newlineabout their common center of mass in circular orbits. The problem is restricted in the sense newlinethat the infinitesimal mass does not effect the motion of the two primaries. The restricted newlineproblem describes about the actual situation in Celestial Mechanics with a tolerable first newlineapproximation. The major fault of this approximation of the restricted formulation is its newlineinability to treat the long time behavior of practically important dynamical systems. The newlinereason for this may be attributed to the eccentricity of the orbits of the primaries. newlineThus, the restricted three body problem was improved by considering the elliptic newlineorbits of the primaries. Thus, the elliptical restricted three body problem is a generalization newlineof the circu