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The Copenhagen problem with a quasi-homogeneous potential

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Abstract

The Copenhagen problem is a well-known case of the famous restricted three-body problem. In this work instead of considering Newtonian potentials and forces we assume that the two primaries create a quasi-homogeneous potential, which means that we insert to the inverse square law of gravitation an inverse cube corrective term in order to approximate various phenomena as the radiation pressure of the primaries or the non-sphericity of them. Based on this new consideration we investigate the equilibrium locations of the small body and their parametric dependence, as well as the zero-velocity curves and surfaces for the planar motion, and the evolution of the regions where this motion is permitted when the Jacobian constant varies.

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  1. Department of Mechanics, National Technical University of Athens, Athens, Greece

    Demetrios Fakis & Tilemahos Kalvouridis

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  1. Demetrios Fakis
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  2. Tilemahos Kalvouridis
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Correspondence to Tilemahos Kalvouridis.

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Fakis, D., Kalvouridis, T. The Copenhagen problem with a quasi-homogeneous potential. Astrophys Space Sci 362, 102 (2017). https://doi.org/10.1007/s10509-017-3077-0

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