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Celestial Mechanics and Dynamical Astronomy

, Volume 116, Issue 3, pp 229–240 | Cite as

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

  • Demetrios Gn. Fakis
  • Tilemahos J. Kalvouridis
Original Article

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.

Keywords

Particle dynamics in N-body ring systems Oblateness   Zero-velocity curves and surfaces Equilibrium positions 

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Demetrios Gn. Fakis
    • 1
  • Tilemahos J. Kalvouridis
    • 1
  1. 1.Department of Mechanics, Faculty of Applied SciencesNational Technical University of AthensAthensGreece

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