Three-dimensional periodic solutions of the circular restricted three-body problem

Details Three-dimensional periodic solutions of the circular restricted three-body problem Three-dimensional periodic solutions of the circular restricted three-body problem

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pazh...15..377k&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal (ISSN 0320-0108), vol. 15, April 1989, p. 377-384. In Russian. In Russian.

Statistics

Computation

1

Computational Astrophysics, Libration, Three Body Problem, Computerized Simulation, Differential Equations, Gravitational Fields, Jacobi Integral

Scientific paper

Periodic motions generated from the libration points of the restricted three-body problem are examined. The motions are considered as a two-parameter continuation of small-energy-constant orbits in the neighborhood of the Lagrangian solutions that are perpendicular to the rotation plane of the two dominant gravitating bodies. The two parameters are h (the energy constant) and mu (the mass ratio of the two dominant gravitating bodies).

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