Three-body problem - The existence of families of three-dimensional periodic orbits which bifurcate from planar periodic orbits

Details Three-body problem - The existence of families of three-dimensional periodic orbits which bifurcate from planar periodic orbits Three-body problem - The existence of families of three-dimensional periodic orbits which bifurcate from planar periodic orbits

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....81...30i&link_type=abstract

Astronomy and Astrophysics, vol. 81, no. 1-2, Jan. 1980, p. 30-32.

Mathematics

7

Branching (Mathematics), Celestial Mechanics, Orbit Calculation, Three Body Problem, Astronomical Models, Existence Theorems, Gravitational Effects

Scientific paper

In this paper we prove the existence of families of three-dimensional
periodic orbits which bifurcate from vertical critical orbits of the
planar, general or restricted, problem of three bodies. The periodic
orbits refer to a suitably defined rotating frame of reference.

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