67 citations · 524 across the 58 of their papers we have counts for
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math-ph2004★ 21 cited
Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization
Kurt Ehlers, Jair Koiller, Richard Montgomery +1
A nonholonomic system consists of a configuration space Q, a Lagrangian L, and an nonintegrable constraint distribution H, with dynamics governed by Lagrange-d'Alembert's principle…
math.DS2004
Fitting Hyperbolic Pants to a Three-Body Problem
Richard Montgomery
Consider the three-body problem with an attractive potential. Modulo symmetries, the dynamics of the bounded zero-angular momentum solutions is equivalent to a geodesic flo…