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

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math.CA2011★ 3 cited

Linear Stability Analysis of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem

Lennard F. Bakker, Scott C. Mancuso, Skyler C. Simmons

We apply the symmetry reduction method of Roberts to numerically analyze the linear stability of a one-parameter family of symmetric periodic orbits with regularizable simultaneous…