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arxiv: 1703.07857 · v1 · pith:MUTLUVUPnew · submitted 2017-03-22 · 🧮 math.CA

Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability

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keywords existencekeplerperiodicperturbedplaneproblemsolutionsdegrees
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The existence of elliptic periodic solutions of a perturbed Kepler problem is proved. The equations are in the plane and the perturbation depends periodically on time. The proof is based on a local description of the symplectic group in two degrees of freedom.

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