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Approximate action-angle variables for the figure-eight and other periodic three-body orbits
the figure-eight other periodic three-body orbits Classical Physics
2011/7/26
Approximate action-angle variables for the figure-eight and other periodic three-body orbits.
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
action-angle variables three-body orbit
2011/9/14
We use the maximally permutation symmetric set of three-body coordinates, that consist of the “hyper-radius” R = p2 + 2, the “rescaled area of the triangle”
p3
2R2 | × |) and the (braiding)
hyp...
Action-angle duality between the C(n)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
Action-angle duality the C(n)-type hyperbolic Sutherland the rational Ruijsenaars-Schneider-van Diejen models
2011/7/26
Abstract: In a symplectic reduction framework we construct action-angle systems of canonical coordinates for both the hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen integrable...