The equations of motion of the joint effects of the relativistic and solar radiation pressure on an earth artificial satellite

摘要

This work deals with the study of the post-Newtonian (PN) geopotential and direct solar radiation pressure (SRP) effects on the motion of an Earth artificial satellite. The potential of the Earth, including the PN terms, is developed in terms of the Delaunay variables up to 0(4) assuming J2 of first order. A potential like function representing the SRP is formed to enable this effect to be treated in the Hamiltonian framework. The Hamiltonian is then formed in terms of the Delaunay variables representing the problem, augmented to remove the explicit time dependence through the motion of the sun.