Photogravitational Elliptical Restricted Three Body Problem

📗 Dr Ramesh Kumar chilla completed Ph.D. from Chhattisgarh Swami Vivekanand Technical University Bhilai in the year 2014. At Present he is working as Assistant Professor in the Department of Applied Mathematics,RCET Bhilai.His area of research was Celestial Mechanics and published 08 research papers in various international journals. About Monograph The motion and stability of the Elliptical Restricted Three Body Problem in which the bigger primary is an oblate spheroid and radiating and the smaller primary is also an oblate spheroid have been discussed. The problem is studied under the assumption that the eccentricity of the orbit of the gravitating bodies is small. The radiation of the more massive primary does not affect the motion of the smaller primary due to its large mass, as where it affects the motion of infinitesimal body.The effects of photogravitational and oblateness of the bigger primary and oblateness of the smaller primary on location and stability of the triangular Lagrangian points inelliptical restricted three body problem have been studied. The method of averaging used by Grebenikov (1965, 1986) is exploited throughout the analysis.