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The periodically forced Kepler problem has at most one classical periodic solution and very simple dynamics. In this paper it is shown that when collisions are considered, many other periodic solutions appear as well as a dynamics of twist type.
Cite this article
Rafael Ortega, Linear motions in a periodically forced Kepler problem. Port. Math. 68 (2011), no. 2, pp. 149–176DOI 10.4171/PM/1885