Abstract
The design of spatial missions to Mars requires the development of analytical theories in order to put artificial satellites in orbit around Mars.
In this paper, we present a complete third order analytical model of a satellite perturbed by the zonal J 2, ..., J 6 harmonics of the Mars potential. Two Lie transformations, the elimination of the Parallax and the elimination of the Perigee, and the Krylov–Bogoliubov–Mitropolsky method are applied to obtain a complete integration of the model. The algebraic expressions of the generators, the Hamiltonians and the integrals, together with a software code to compute the ephemeris of the satellite, are automatically obtained using our computer algebra system ATESAT.
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Juan, J.F.S., Serrano, S., Abad, A. (2004). Analytical Theory of Motion of a Mars Orbiter. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science - ICCS 2004. ICCS 2004. Lecture Notes in Computer Science, vol 3039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25944-2_42
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DOI: https://doi.org/10.1007/978-3-540-25944-2_42
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