Secular Motion around TriAxial, Synchronously Orbiting, Planetary Satellites: Aplication to Europa
- Lara, M. 1
- San-Juan, J.F. 2
- Ferrer, S. 3
- 1 Ephemeris Department, Real Observatorio de la Armada, 11 110 San Fernando, Spain
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2
Universidad de La Rioja
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3
Universidad de Murcia
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ISSN: 0065-3438
Year of publication: 2005
Volume: 120
Issue: II
Pages: 1147-1166
Type: Article
More publications in: Advances in the Astronautical Sciences
Abstract
We investigate the secular motion of a spacecraft around the Jovian moon Europa. Our model takes into account the gravitational potential of Europa up to the second order, and the third body perturbation in Hill's approximation. Close to Europa the ratio of the rotation rate of Europa to the mean motion of the orbiter is small. When considering this ratio as a small parameter the Coriolis effect is a first order perturbation, while the third body tidal attraction, the ellipticity effect, and the oblateness perturbation remain at higher orders. Then, we apply perturbation theory and find that a third order approach is enough to manifest the influence of the satellite's ellipticity in the perigee dynamics.