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New Periodic Solutions for Some Planar -Body Problems with Newtonian Potentials
For some planar Newtonian -body problems, we use variational
minimization methods to prove the existence of new periodic solutions
satisfying that bodies chase each other on a curve, and the other 3 bodies
chase each other on another curve. From the definition of the group action in
equations , we can find that they are new solutions which are also
different from all the examples of Ferrario and Terracini (2004)
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