Orbit propagation with Lie-Deprit methods in satellite dynamics
-
Antonio Elipe Sánchez [1]
;
Alberto Abad Medina
[1]
-
[1] Universidad de Zaragoza
Universidad de Zaragoza
Zaragoza, España
-
- Localización: Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 79, 2024, págs. 53-68
- Idioma: inglés
- Enlaces
-
Resumen
In this paper we generate an analytical theory for the motion of the artificial satellite in which the tesseral model of the planetary potential is considered. We inte- grate the problem by applying the Lie-Deprit method with three consecutive canonical transformations: the elimination of the parallax, the Delaunay normalization and a final double normalization to eliminate the perigee and the node. We apply this the- ory to the 2 × 2, 4 × 4, and 5 × 5 tesseral models and we propagate the motion of the satellite, and also, we present the error of this analytical propagation versus the numerical propagation for a wide range of initial conditions.
