Astrophysics and Space Science

, Volume 86, Issue 2, pp 377–396 | Cite as

Bounded motion for a modified three-body problem

  • G. Bozis
  • M. Michalodimitrakis


The energy and the angular momentum integral of motion for the planar three point problem cannot assure bounded motion. In this paper it is shown that if one of the points is replaced by a homogeneous sphere then bounded motion can be found. The zero velocity surfaces for this modified problem are found and their evolution is described.


Assure Angular Momentum Point Problem Velocity Surface Homogeneous Sphere 
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Copyright information

© D. Reidel Publishing Co. 1982

Authors and Affiliations

  • G. Bozis
    • 1
  • M. Michalodimitrakis
    • 1
  1. 1.Department of Theoretical MechanicsUniversity of ThessalonikiGreece

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