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Dynamics of a small body under the action of a Maxwell ring-type N-body system with a spheroidal central body

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Abstract

This study outlines some aspects of the dynamics of a small body under the action of a Maxwell-type N-body system with a spheroidal central body. The non-sphericity of the central primary is described by means of a corrective term in the Newton’s law of gravitation and is taken into account during the derivation of the equations of motion of the small body, improving in this way, previous treatments. 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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Authors and Affiliations

  1. Department of Mechanics, Faculty of Applied Sciences, National Technical University of Athens, 5, Heroes of Polytechnion Ave., 157 73 , Athens, Greece

    Demetrios Gn. Fakis & Tilemahos J. Kalvouridis

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

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Fakis, D.G., Kalvouridis, T.J. Dynamics of a small body under the action of a Maxwell ring-type N-body system with a spheroidal central body. Celest Mech Dyn Astr 116, 229–240 (2013). https://doi.org/10.1007/s10569-013-9484-9

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  • DOI: https://doi.org/10.1007/s10569-013-9484-9

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