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For some planar Newtonian $N+3$-body problems, we use variationalminimization methods to prove the existence of new periodic solutionssatisfying that $N$ bodies chase each other on a curve, and the other 3 bodieschase each other on another curve. From the definition of the group action inequations $(3.1)-(3.3)$, we can find that they are new solutions which are alsodifferent from all the examples of Ferrario and Terracini (2004)$[22]$.

New Periodic Solutions for Some Planar $N+3$-Body Problems with Newtonian Potentials