Stability and Bifurcations of the Figure-8 Solution of the Three-Body Problem

Details Stability and Bifurcations of the Figure-8 Solution of the Three-Body Problem Stability and Bifurcations of the Figure-8 Solution of the Three-Body Problem

Jun 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvl..88x1101g&link_type=abstract

Physical Review Letters, vol. 88, Issue 24, id. 241101

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7

Scientific paper

The stability properties of a recently discovered solution of the general three-body problem with equal masses and the shape of a figure 8 are analyzed as the masses are varied. It is shown by numerical continuation and the evaluation of the characteristic multipliers that the solution is stable only in a narrow mass interval. Other less symmetrical and unstable solutions with equal masses in the same homotopy class as the figure-8 orbit have been found. The branching behavior is also analyzed.

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