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Hill Problem Analytical Theory to the Order Four. Application to the Computation of Frozen Orbits around Planetary SatellitesFrozen orbits of the Hill problem are determined in the double averaged problem, where short and long period terms are removed by means of Lie transforms. The computation of initial conditions of corresponding quasi periodic solutions in the non-averaged problem is straightforward for the perturbation method used provides the explicit equations of the transformation that connects the averaged and non-averaged models. A fourth order analytical theory reveals necessary for the accurate computation of quasi periodic, frozen orbits.
Document ID
Document Type
Conference Paper
Lara, Martin
(Real Observatorio de la Armada Spain)
Palacian, Jesus F.
(Universidad Publica de Navarra Pamplona, Spain)
Date Acquired
August 24, 2013
Publication Date
September 24, 2007
Publication Information
Publication: Proceedings of the 20th International Symposium on Space Flight Dynamics
Subject Category
Spacecraft Design, Testing And Performance
Funding Number(s)
OTHER: ESP2004-04376
OTHER: MTM2005-08595
OTHER: ESP2005-07107
Distribution Limits
Public Use Permitted.
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