Periodic orbits in the Planar General Three-Body Problem

Details Periodic orbits in the Planar General Three-Body Problem Periodic orbits in the Planar General Three-Body Problem

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11...13b&link_type=abstract

Celestial Mechanics, vol. 11, Feb. 1975, p. 13-38.

Computer Science

Numerical Analysis

9

Celestial Mechanics, Numerical Analysis, Orbit Calculation, Three Body Problem, Equations Of Motion, Existence Theorems, Graphs (Charts), Natural Satellites, Periodic Variations, Solar System, Symmetry, Variable Mass Systems

Scientific paper

The article contains a numerical study of periodic solutions of the Planar General Three-Body Problem. Several new periodic solutions have been discovered and are described. In particular, there is a continuous family with variable masses, extending all the way from the elliptic restricted problem to the general problem with three equal masses. All our examples have special symmetry properties which are described in detail. Finally we also suggest some important applications to the natural satellites of the solar system.

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