Alberto Abad Medina , Juan Félix San Juan Díaz , Sergio Serrano Pastor
The importance of the development of analytical theories for the motion of artificial satellites is well known, however the involved algebra makes very difficult each advance in the efficience of such theories. We propose here a method to improve the precision of the theories with less computational effort: a detailed study of the relative value of each term of the Hamiltonian will lead to a new asymptotic ordering depending on the initial conditions of the satellite. In this paper we show how such method reduce the computing time of the generation of a theory and the computing time of the ephemeris program.
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