  As shown by Masur in 80s, for any translation surface there exists a periodic
geodesic of bounded length, the directions of periodic geodesics are dense in
the unit circle, and the number of cylinders of periodic geodesics of length at
most T admits upper and lower quadratic estimates. The main goal of this paper
is to generalize the above results, with special interest in obtaining
effective estimates. In addition, we apply results of Eskin and Masur to
establish some properties of periodic geodesics on generic translation
surfaces.
