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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
Article
  • 27 Downloads

Abstract

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.

Keywords

Assure Angular Momentum Point Problem Velocity Surface Homogeneous Sphere 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bozis, G.: 1976,Astrophys. Space Sci. 43, 355.Google Scholar
  2. Golubev, V. G.: 1968,Soviet Phys. Dokl. 13, 373.Google Scholar
  3. Marchal, C. and Bozis, G.: 1982,Celes. Mech. 26, 311.Google Scholar
  4. Marchal, C. and Saari, D. G.: 1975,Celes. Mech. 12, 115.Google Scholar
  5. Pars, L. S.: 1965,A Treatise on Analytical Dynamics, Heinemann, London, p. 578.Google Scholar
  6. Zare, K.: 1977,Celes. Mech. 16, 35.Google Scholar

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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