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

✍ Scribed by T. Tsouroplis; C. G. Zagouras

Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
688 KB
Volume
30
Category
Article
ISSN
1573-0794

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

The gyroscopic stability of the triangul
The gyroscopic stability of the triangular stationary solutions of the generalized planar three-body problem
✍ A.A. Burov; M. Pascal; S.Ya. Stepanov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 799 KB

The gyroscopic stability of the triangular solutions is investigated for the generalized planar three-body problem (point masses) which differs from the classical three-body problem by the addition of a weightless elastic tether connecting two of the three bodies. It is shown that, when the tether h