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Equilibria of the symmetric collinear restricted four-body problem with radiation pressure

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Abstract

In this paper, a restricted four-body problem with radiation pressure is considered. The three primaries are supposed in a collinear central configuration where both masses and both radiation forces of peripheral bodies are equal. After an adequate formulation, the problem is reduced to a tri-parametric one. A complete analysis of the position of equilibria and their stability in the space of parameters is performed.

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Acknowledgements

This research has been supported by the DGA (Government of Aragón), project E48. MECÁNICA ESPACIAL and by the Spanish Ministry of Science, projects MTM2012-31883, and ESP2013-44217-R.

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Authors and Affiliations

  1. University of Zaragoza, Grupo de Mecánica Espacial & IUMA, Zaragoza, Spain

    M. Arribas, A. Abad, A. Elipe & M. Palacios

  2. Centro Universitario de la Defensa, Zaragoza, Spain

    A. Elipe

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  1. M. Arribas
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  2. A. Abad
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  3. A. Elipe
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  4. M. Palacios
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Correspondence to A. Abad.

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Arribas, M., Abad, A., Elipe, A. et al. Equilibria of the symmetric collinear restricted four-body problem with radiation pressure. Astrophys Space Sci 361, 84 (2016). https://doi.org/10.1007/s10509-016-2671-x

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