The General Solution of the Planar Laplace Problem

Details The General Solution of the Planar Laplace Problem The General Solution of the Planar Laplace Problem

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..92..123m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 92, Issue 1-3, pp. 123-134

Astronomy and Astrophysics

Astronomy

Plane Secular, Three-Body Problem

Scientific paper

The famous Laplace problem is the three-body, secular, planetary problem. Its plane version has the great theoretical advantage of being integrable (Ferraz-Mello, private correspondence, 2001) and Ferraz-Mello et al. (Chaotic World: from order to Disorder in Gravitational N-Body Systems, Kluwer Academic Publisher, 2004)). Nevertheless it remains a very complex problem with many singularities and many possibilities of collisions. Large eccentricities lead generally to large perturbations especially if the two planets have the same direction of revolution about their star.

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