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Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability. (English) Zbl 0541.70010
Summary: 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.
MSC:
70F07 Three-body problems
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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