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Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory
Authors:Martín Lara  André Deprit  Antonio Elipe
Institution:(1) Real Observatorio de la Armada, San Fernando, 11110 Cádiz, Spain;(2) Grupo de Mecánica Espacial. Universidad de Zaragoza, 50009 Zaragoza, Spain;(3) Present address: National Institute of Standards and Technology, 20899 Gaithersburg, MD, USA
Abstract:In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations.
Keywords:Frozen orbits  periodic orbits  artificial satellite
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