Analytical treatment of the Earth oblateness and solar radiation pressure effects on an artificial satellite I. The equations of motion

摘要

In this paper, the motion of the Earth artificial satellite problem including the solar radiation pressure force has been considered. The geopotential will be expressed in terms of both the zonal and tesseral harmonics up to J4 and S44 respectively. The solar radiation pressure force will be obtained to enable this effect to contribute in the Hamiltonian function corresponding to the motion of the satellite. The Hamiltonian function is then obtained in terms of the Delauny set of canonical variables, augmented so as to remove the explicit time dependence due to the mean longitude of the Sun and due to the motion of the Earth about its axis.