Deprit's Elimination of the Parallax Revisited
ISSN: 0021-9142
Year of publication: 2013
Volume: 60
Issue: 2
Pages: 137-148
Type: Article
More publications in: Journal of the Astronautical Sciences
Abstract
An extension of Deprit's elimination of the parallax is proposed. This extension takes advantage of the flexibility of the Lie-Deprit method, when the inverse of the Lie operator is applied in order to calculate the generating function of this Lie transform. We have found that, under certain conditions, a function F-n, belonging to the null space of the Lie operator, can be added to the generating function of the transform at each order, so that the argument of the perigee, and therefore the argument of latitude, can be fully removed in the zonal case of the artificial satellite problem.