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Classes of orbits in the main problem of satellite theory

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Abstract

We consider the main problem in satellite theory restricted to the polar plane. For suitable values of the energy the system has two unstable periodic orbits. We classify the trajectories in terms of their ultimate behavior with respect these periodic orbits in: oscillating, asymptotic and capture orbits. We study the energy level set and the existence and properties of the mentioned types of motion.

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Authors and Affiliations

  1. Dept. de Mecánica i Astronomia. Facultat de Matemàtiques, Universitat de València, Spain

    J. Martínez Alfaro & V. Reglero

Authors
  1. J. Martínez Alfaro
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  2. V. Reglero
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Alfaro, J.M., Reglero, V. Classes of orbits in the main problem of satellite theory. Celestial Mechanics 38, 163–173 (1986). https://doi.org/10.1007/BF01230428

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  • DOI: https://doi.org/10.1007/BF01230428

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