Higher Order Normalizations in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag

摘要

Higher order normalizations are performed in the generalizedphotogravitational restricted three body problem with Poynting-Robertson drag.In this problem we have taken bigger primary as a source of radiation andsmaller primary as an oblate spheroid. Whittaker method is used to transformthe second order part of the Hamiltonian into the normal form. We have alsoperformed Birkhoff's normalization of the Hamiltonian. For this we have tilizedHenrard's method and expanded the coordinates of the infinitesimal body indouble D'Alembert series. We have found the values of first and second ordercomponents. They are affected by radiation pressure, oblateness and P-R drag.Finally we obtained the third order part of the Hamiltonian zero. Keywords:Higher Order Normalization, Generalized Photogravitational, RTBP,P-Rdrag