Computing long-lifetime science orbits around natural satellites

Martin Lara; Sebastián Ferrer

doi:10.3934/dcdss.2008.1.293

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2008, Volume 1, Issue 2: 293-302. Doi: 10.3934/dcdss.2008.1.293

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Computing long-lifetime science orbits around natural satellites

Martin Lara^1, and
Sebastián Ferrer^2,

1.
Real Observatorio de la Armada, ES-11 110 San Fernando
2.
University of Murcia, ES-30 071 Murcia

Received: September 2006

Revised: February 2007

Published: June 2008

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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.

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Mathematics Subject Classification: 70F15, 70K65, Secondary: 70H09.

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