Introduces conformal momentum maps and augmented Hamiltonians for scaling symmetries in Hamiltonian systems, defines central configurations on cotangent bundles, and recovers classical central configuration equations for the n-body problem.
McLachlan and Christian Offen, Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci , New Zealand Journal of Mathematics 48 (2018), 83–99
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Relative Equilibria for Scaling Symmetries and Central Configurations
Introduces conformal momentum maps and augmented Hamiltonians for scaling symmetries in Hamiltonian systems, defines central configurations on cotangent bundles, and recovers classical central configuration equations for the n-body problem.