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Capture in the Circular and Elliptic Restricted Three-Body Problem

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Abstract

In this paper the authors provide a study of the phenomenon of the gravitational capture by using the models of the circular and elliptic restricted three-body problem. In the first part the inadequacy of the circular restricted three-body problem in the study of the phenomenon of the capture in the case of NEAs is shown. In the model of the spatial elliptic restricted three-body problem criteria of the capture are deduced by using the pulsating Hill-regions.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Babeş-Bolyai University, Kogalniceanu, nr. 1., Cluj-Napoca, Cluj 3400, Romania, e-mail

    Zoltán Makó & Ferenc Szenkovits

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  1. Zoltán Makó
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  2. Ferenc Szenkovits
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Makó, Z., Szenkovits, F. Capture in the Circular and Elliptic Restricted Three-Body Problem. Celestial Mechanics and Dynamical Astronomy 90, 51–58 (2004). https://doi.org/10.1007/s10569-004-5899-7

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  • DOI: https://doi.org/10.1007/s10569-004-5899-7

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