Celestial mechanics

, Volume 21, Issue 1, pp 37–41

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

  • Neal D. Hulkower

DOI: 10.1007/BF01230244

Cite this article as:
Hulkower, N.D. Celestial Mechanics (1980) 21: 37. doi:10.1007/BF01230244


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.

Copyright information

© D. Reidel Publishing Co 1980

Authors and Affiliations

  • Neal D. Hulkower
    • 1
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA
  2. 2.Jet Propulsion LaboratoryPasadena