Characterization of quasi-isosceles motions in the plane planetary three body problem

Details Characterization of quasi-isosceles motions in the plane planetary three body problem Characterization of quasi-isosceles motions in the plane planetary three body problem

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979crasm.289..253d&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 289, no. 3, July 16, 1979, p. 253-256. In

Mathematics

Celestial Mechanics, Riemann Manifold, Three Body Problem, Eccentricity, Equations Of Motion

Scientific paper

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 ds-squared has a nonpositive Ricci curvature for quasi-isosceles 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.

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