Stability and bifurcations of the figure-8 solution of the three-body problem.

Phys Rev Lett

Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, University of Seville, Camino de los Descubrimientos s/n, 41092 Seville, Spain.

Published: June 2002

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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http://dx.doi.org/10.1103/PhysRevLett.88.241101DOI Listing

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