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Periodic solutions to a forced Kepler problem in the plane

By A. Boscaggin and others
Given a smooth function U(t,x)U(t,x), TT-periodic in the first variable and satisfying U(t,x)=O(xα)U(t,x) = \mathcal{O}(\vert x \vert^{\alpha}) for some α(0,2)\alpha \in (0,2) as x\vert x \vert \to \infty, we prove that the forced Kepler problem \ddot x = - \dfrac{x}{|x|^3} + \nabla_x U(t,x),\qquad x\in {\mathbb{R}}^2, has a generalized... Show more
February 22, 2019
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Periodic solutions to a forced Kepler problem in the plane
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