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 $\mathcal {F}_{n}$, 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.
Deprit’s Elimination of the Parallax Revisited
2013
Article (Journal)
English
Deprit’s Elimination of the Parallax Revisited
Springer Verlag | 2013
|Proper Averaging Via Parallax Elimination (AAS 13-722)
British Library Conference Proceedings | 2014
|Parallax calculation method and parallax calculation device
European Patent Office | 2016
|