Celestial mechanics

, Volume 21, Issue 1, pp 37–41 | Cite as

Central configurations and hyperbolic-elliptic motion in the three-body problem

  • Neal D. Hulkower
Article

Abstract

A refined classification of motion for the planar three-body problem with zero total energy is presented. In addition, the structure and size of the sets of initial conditions are obtained. Limited results for the spatial problem are also given.

Keywords

Total Energy Limited Result Spatial Problem Central Configuration Refined Classification 
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. Broucke, R. and Walker, D. E.: 1980, this issue, p. 73.Google Scholar
  2. Chazy, J.: 1922,Ann. Sci. Ecole Norm. 39, 29.Google Scholar
  3. Hulkower, N. D.: 1978,Indiana Univ. Math. J. 27, 409.Google Scholar
  4. Saari, D. G.: 1971,Trans. Amer. Math. Soc. 156, 219.Google Scholar
  5. Siegel, C. L. and Moser, J. K.: 1971,Lectures on Celestial Mechanics, Springer-Verlag.Google Scholar
  6. Waldvogel, J.: 1976,Celes. Mech. 14, 287.Google Scholar

Copyright information

© D. Reidel Publishing Co 1980

Authors and Affiliations

  • Neal D. Hulkower
    • 1
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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