@misc{10481/99365,
year = {2019},
url = {https://hdl.handle.net/10481/99365},
abstract = {We consider a Kepler problem in dimension two or three with a time-dependent T-periodic perturbation. We prove that for any prescribed positive integer N, there exist at least N periodic solutions (with period T ) as long as the perturbation is small enough. Here the solutions are understood in a general sense as they are allowed to have collisions. The concept of generalized solutions is defined intrinsically, and it coincides with the notion obtained in celestial mechanics via the theory of regularization of collisions.},
publisher = {American Mathematical Society},
keywords = {Levi-Civita regularization},
keywords = {Kepler problem},
keywords = {periodic perturbation},
title = {Periodic solutions and regularization of a Kepler problem with time-dependent perturbation},
doi = {https://doi.org/10.1090/tran/7589},
author = {Boscaggin, Alberto and Ortega Ríos, Rafael and Zhao, Lei},
}