A minimizing property of eulerian solutions

Details A minimizing property of eulerian solutions A minimizing property of eulerian solutions

Nov 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..90..239z&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 90, Issue 3-4, pp. 239-243

Astronomy and Astrophysics

Astronomy

1

3-Body Problems, Eulerian Solutions, Lagrangian Action

Scientific paper

In this paper, we prove that the elliptical solutions and collision
ejection solutions with the Eulerian collinear configuration for planar
3-body problems are the variational minimizers of the Lagrangian action
restricted on a suitable loop space.

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