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Out-of-plane equilibria in the symmetric collinear restricted four-body problem with radiation pressure

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Abstract

In this paper, a three dimensional case of the restricted four-body problem with radiation pressure is considered. The three primaries are supposed to be in a collinear central configuration where both masses and both radiation forces of peripheral bodies are equal. In addition to the analysis of the equilibria in the planar problem introduced in a previous paper by the authors, we present here a complete study of position and stability of the equilibrium points out of \(\mathit{Oxy}\) plane.

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Acknowledgements

This research has been supported by: the Spanish Ministerio de Economía y Competitividad, projects ESP2013-44217-R and the joint Government of Aragón and European Funds, project E48.

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Arribas, M., Abad, A., Elipe, A. et al. Out-of-plane equilibria in the symmetric collinear restricted four-body problem with radiation pressure. Astrophys Space Sci 361, 270 (2016). https://doi.org/10.1007/s10509-016-2858-1

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  • DOI: https://doi.org/10.1007/s10509-016-2858-1

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