APPLICATION OF CLASSICAL AND LIE TRANSFORM METHODS TO ZONAL PERTURBATION IN THE ARTIFICIAL SATELLITE THEORY

摘要

A scalable second-order analytical orbit propagator programrnis being carried out. This analytical orbit propagatorrncombines modern perturbation methods, based on therncanonical frame of the Lie transform, and classical perturbationrnmethods in function of orbit types or the requirementsrnneeded for a space mission, such as catalog maintenancernoperations, long period evolution, and so on. As arnfirst step on the validation of part of our orbit propagator,rnin this work we only consider the perturbation producedrnby zonal harmonic coefficients in the Earth’s gravity potential,rnso that it is possible to analyze the behaviour ofrnthe perturbation methods involved in the correspondingrnanalytical theories.