Analytical treatment of the earth oblateness and solar radiation pressure effects on an artificial satellite: II––The solution

摘要

In this paper, according to the Hamilton equations, the influence on the perturbation of a satellite exerted by the gravitational force of the earth and direct solar radiation pressure has been found. The equations of motion are derived in the first part of this paper.1 The solution is performed through three canonical transformations retaining secular and periodic terms up to order 6 and 4, respectively where the coefficient σ (the angular speed of the earth) is considered of first order. The solution revealed as expected that radiation pressure produced secular effects at the sixth-order resulting from the coupling between terms of lower orders.