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math.DG2021★ 3 cited
Variations on the Tait-Kneser theorem
Gil Bor, Connor Jackman, Serge Tabachnikov
The Tait-Kneser theorem, first demonstrated by Peter G. Tait in 1896, states that the osculating circles along a plane curve with monotone non-vanishing curvature are pairwise disj…
math.DG2019
Loose ends in a strong force 3-body problem
Connor Jackman
Up to symmetries, the orbits of three equal masses under an inverse cube force with zero angular momentum and constant moment of inertia can be reparametrized as the geodesics of a…
math.DG2006★ 1 cited
Variations on the Tait-Kneser theorem
Serge Tabachnikov, Vladlen Timorin
The classical Tait-Kneser theorem states that the osculating circles of a smooth plane curve, free from curvature extrema, are pairwise disjoint. We prove a number of analogs of th…