1 citations · 1 across the 2 of their papers we have counts for
4 papers
Secular dynamics for curved two-body problems
Connor Jackman
Consider the dynamics of two point masses on a surface of constant curvature subject to an attractive force analogue of Newton's inverse square law. When the distance between the b…
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…
No hyperbolic pants for the 4-body problem
Connor Jackman, Richard Montgomery
The -body problem with a potential has, in addition to translation and rotational symmetry, an effective scale symmetry which allows its zero energy flow to be reduced t…
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…