Periodic Solutions of Some Problems of 3-Body Type

  • Abbas Bahri
  • Paul H. Rabinowitz
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 4)


The study of time periodic solutions of the n-body problem is a classical one. See e.g 1 The purpose of this paper is to sketch some of our recent research on the existence of time periodic solutions of Hamiltonian systems of 3-body type [2] This work presents a new direct variational approach to the problem.


Periodic Solution Hamiltonian System Unstable Manifold Homotopy Type Morse Theory 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Abbas Bahri
    • 1
  • Paul H. Rabinowitz
    • 2
  1. 1.Mathematics DepartmentRutgers UniversityNew BrunswickUSA
  2. 2.Mathematics Department and Center for Mathematical SciencesUniversity of WisconsinMadisonUSA

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