Symmetric rectilinear periodic orbits of three bodies

Details Symmetric rectilinear periodic orbits of three bodies Symmetric rectilinear periodic orbits of three bodies

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..329k&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, Aug. 1983, p. 329-342.

Physics

3

Celestial Mechanics, Orbit Calculation, Three Body Problem, Equations Of Motion, Orbits

Scientific paper

In this paper the existence of families of symmetric periodic orbits in
the rectilinear three body problem with the middle mass much larger than
the masses on the outside is rigorously established. A number of these
families are continued numerically and their stability properties as
orbits of the planar general problem of three bodies are studied.

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