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arXiv · 0905.4519

Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem

Lennard F. Bakker·Tiancheng Ouyang·Skyler Simmons·Duokui Yan·Gareth E. Roberts
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Abstract

We apply the analytic-numerical method of Roberts to determine the linear stability of time-reversible periodic simultaneous binary collision orbits in the symmetric collinear four body problem with masses 1, m, m, 1, and also in a symmetric planar four-body problem with equal masses. For the collinear problem, this verifies the earlier numerical results of Sweatman for linear stability.

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Lennard F. Bakker, Tiancheng Ouyang, Skyler Simmons, Duokui Yan, Gareth E. Roberts. 2009-05-27. Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem. https://doi.org/10.1007/s10569-010-9298-y

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