Deprit's Elimination of the Parallax Revisited

  1. San-Juan, JF
  2. Ortigosa Martínez, David
  3. López Ochoa, Luis María
  4. Lopez, R
Revista:
Journal of the Astronautical Sciences

ISSN: 0021-9142

Año de publicación: 2013

Volumen: 60

Número: 2

Páginas: 137-148

Tipo: Artículo

DOI: 10.1007/S40295-015-0033-5 WoS: WOS:000209469500001 GOOGLE SCHOLAR

Otras publicaciones en: Journal of the Astronautical Sciences

Resumen

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.