Title: Periodic solutions and regularization of a Kepler problem with time-dependent perturbation,
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 can 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.