Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986sval...12..239k&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 12, July 1986, p. 566-574) Soviet Astronomy Letters (ISSN 0360-0327), vol. 12, July-Aug
Astronomy and Astrophysics
Astronomy
1
Libration, Orbital Mechanics, Three Body Problem, Cauchy Problem, Differential Equations, Lagrange Coordinates, Predictor-Corrector Methods
Scientific paper
Periodic motions are constructed as a two-parameter numerical continuation of short-period low-energy orbits in the vicinity of Lagrangian solutions to the plane circular restricted three-body problem. The predictor-corrector method is used to numerically extend (with respect to the parameters) the periodic solutions to an autonomous Lagrangian system of equations with two degrees of freedom. It is noted that, in order for the corrector part of the proposed algorithm to converge, the parameter increments in the predictor part must be extremely small.
Karimov S. R.
Sokol'Skii A. G.
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