44 citations · 97 across the 9 of their papers we have counts for
9 papers
Partially rigid motions in the n-body problem
Richard Moeckel
A solution of the n-body problem in R^d is a relative equilibrium if all of the mutual distance between the bodies are constant. In other words, the bodies undergo a rigid motion.…
No Infinite Spin for Planar Total Collision
Richard Moeckel, Richard Montgomery
The infinite spin problem concerns the rotational behavior of total collision orbits in the -body problem. It has long been known that when a solution tends to total collision t…
Chazy-Type Asymptotics and Hyperbolic Scattering for the -Body Problem
Nathan Duignan, Richard Moeckel, Richard Montgomery +1
We study solutions of the Newtonian -body problem which tend to infinity hyperbolically, that is, all mutual distances tend to infinity with nonzero speed as $t \rightarrow +\in…
Free time minimizers for the planar three-body problem
Rick Moeckel, Richard Montgomery, Hector Sanchez Morgado
Free time minimizers of the action (called"semi-static" solutions by Mañe) play a central role in the theory of weak KAM solutions to the Hamilton-Jacobi equation (see Fathi). We p…
Realizing All Free Homotopy Classes for the Newtonian Three-Body Problem
Richard Moeckel, Richard Montgomery
The configuration space of the planar three-body problem when collisions are excluded has a rich topology which supports a large set of free homotopy classes. Most classes survive…
Symmetric Regularization, Reduction and Blow-Up of the Planar Three-Body Problem
Rick Moeckel, Richard Montgomery
We carry out a sequence of coordinate changes for the planar three-body problem which successively eliminate the translation and rotation symmetries, regularize all three double co…