Abstract
The motion of two coorbital satellites — at their close encounters — is adequately approximated by Hill’s lunar problem. Therefore chaotic behaviour in Hill’s problem implies chaos in coorbital motion. Although the nonintegrability of Hill’s problem has not yet been proven, numerical evidence clearly shows complicated behaviour typical of chaotic systems. In this paper the family of solutions relevant for circular coorbital motion is explored in details, and an example of a homoclinic orbit is given.
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References
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© 1991 Plenum Press, New York
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Spirig, F., Waldvogel, J. (1991). Chaos in Coorbital Motion. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_33
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DOI: https://doi.org/10.1007/978-1-4684-5997-5_33
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5999-9
Online ISBN: 978-1-4684-5997-5
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