A characterization of quasi isoceles movements for the plane planetary 3body problem.
Abstract
Consideration is given to the plane planetary three body problem, involving a central finite mass and two small masses of ratio k. It is shown that the Riemann manifold of fixed negative entropy with Maupertius dssquared has a nonpositive Ricci curvature for quasiisosceles motions with generating eccentricity less than (k/1 plus k), where k is greater than or equal to 0 and less than or equal to 1.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
 Pub Date:
 July 1979
 Bibcode:
 1979CRASM.289..253D
 Keywords:

 Celestial Mechanics;
 Riemann Manifold;
 Three Body Problem;
 Eccentricity;
 Equations Of Motion;
 Astronomy;
 ThreeBody Problem