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Book cover Three Body Dynamics and Its Applications to Exoplanets

Part of the book series: SpringerBriefs in Astronomy ((BRIEFSASTRON))

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Abstract

The most important theoretical developments (historical and recent) in the three-body problem are presented and discussed. The first part of the presentation is devoted to periodic solutions to the equations of motion, the second part to non-periodic solutions, and in the third part a detailed description of different stability criteria is given. Each part contains extensive discussions of the general, circular restricted and elliptical restricted three-body problem, as well as the Hill problem.

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Authors and Affiliations

  1. University of Texas at Arlington, Arlington, TX, USA

    Zdzislaw Musielak

  2. University Oklahoma, Norman, Oklahoma, USA

    Billy Quarles

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  1. Zdzislaw Musielak
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  2. Billy Quarles
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Musielak, Z., Quarles, B. (2017). Theoretical Developments. In: Three Body Dynamics and Its Applications to Exoplanets. SpringerBriefs in Astronomy. Springer, Cham. https://doi.org/10.1007/978-3-319-58226-9_3

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