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A simple analytical formulation for periodic orbits in binary stars

Nagel, Erick ; Pichardo, Barbara

In: Monthly Notices of the Royal Astronomical Society, 2008, vol. 384, no. 2, p. 548-562

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    Titre
    • A simple analytical formulation for periodic orbits in binary stars
    Auteur
    • Nagel, Erick. Instituto de Astronomía, Universidad Nacional Autónoma de México, Apdo. Postal 70-264, 04510, México, D. F., México
    • Pichardo, Barbara. Instituto de Astronomía, Universidad Nacional Autónoma de México, Apdo. Postal 70-264, 04510, México, D. F., México
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Monthly Notices of the Royal Astronomical Society, 2008, vol. 384, no. 2, p. 548-562. Blackwell Publishing Ltd
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:304130
    Summary
    An analytical approximation to periodic orbits in the circular restricted three-body problem is provided. The formulation given in this work is based on calculations known from classical mechanics, but with the addition of certain terms necessary to give a reasonably good approximation. The results are compared with simulations. The derived simple set of analytical expressions gives periodic orbits on the discs of binary systems without the need to solve the equations of motion by numerical integration