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Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
2011/10/17
We present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the correspon...