Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability

Details Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984em%26p...30...79t&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 30, Feb. 1984, p. 79-94.

Physics

Celestial Mechanics, Orbital Mechanics, Periodic Functions, Systems Stability, Three Body Problem, Isoenergetic Processes, Linear Systems, Mass Ratios, Rotation, Variational Principles

Scientific paper

A numerical study of asymmetric periodic solutions of the planar general three body problem is presented. The equations of variation are integrated numerically and the algorithms for the numerical determination of families of such periodic orbits are given. These orbits refer to a rotating frame of reference. The linear isoenergetic stability is examined through the stability parameters while the results are given in tables and figures.

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