Quasi-periodic solutions of the plane three-body problem near Euler's orbits

Details Quasi-periodic solutions of the plane three-body problem near Euler's orbits Quasi-periodic solutions of the plane three-body problem near Euler's orbits

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28..141s&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, Aug. 24-28, 1981.) Celestial Mechani

Mathematics

4

Celestial Mechanics, Circular Orbits, Euler-Lagrange Equation, Three Body Problem, Cartesian Coordinates

Scientific paper

Quasi-periodic solutions for the plane three-body problem near Euler's orbits encompassing any uniformly rotating Cartesian coordinate system of the plane are considered, with attention to limiting cases. It is shown that, provided a certain nondegeneracy assumption is fulfilled, a specific value for the third mass is reached by a large number of solution branches.

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