Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

Computing long-lifetime science orbits around natural satellites

Pages: 293 - 302, Volume 1, Issue 2, June 2008      doi:10.3934/dcdss.2008.1.293

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Martin Lara - Real Observatorio de la Armada, ES-11 110 San Fernando, Spain (email)
Sebastián Ferrer - University of Murcia, ES-30 071 Murcia, Spain (email)

Abstract: Science missions around natural satellites require low eccentricity and high inclination orbits. These orbits are unstable because of the planetary perturbations, making control necessary to reach the required mission lifetime. Dynamical systems theory helps in improving lifetimes reducing fuel consumption. After a double averaging of the 3-DOF model, the initial conditions are chosen so that the orbit follows the stable-unstable manifold path of an equilibria of the 1-DOF reduced problem. Corresponding initial conditions in the non-averaged problem are easily computed from the explicit transformations provided by the Lie-Deprit perturbation method.

Keywords:  Astrodynamics, toral reduction, bifurcations.
Mathematics Subject Classification:  70F15, 70K65, Secondary: 70H09.

Received: September 2006;      Revised: February 2007;      Available Online: March 2008.