The relativistic and direct solar radiation pressure effects on an axially symmetric spacecraft. I. The Hamiltonian and the canonical equations of motion

摘要

The effects of direct solar radiation pressure (SRP) and Earth oblateness in the post-Newtonian potential (PN) approximation on an Earth artificial satellite are investigated. The potential of the oblate Earth is limited to the principal term and the second zonal harmonic. The model of the satellite is adopted to be an axially symmetric body plus an axially symmetric antenna emitting or receiving radio beam. The attitude of the satellite is assumed stabilized such that the axis of the symmetric body is along the tangent to the orbit. The Hamiltonian of the system is developed in terms of the Delaunay elements augmented so as to remove the explicit time dependence, due to the mean longitude of the Sun. The canonical equations of motion are formed retaining terms up to O(J24) so as to retain the terms arising from the coupling between SRP and the oblateness PN terms.