Classes of families of generalized periodic solutions to the Beletsky equation

For the equation describing plane oscillations and rotations of a satellite, we consider families of generalized periodic solutions with ерк integral rotation number p. We cite new confirmations of the hypothesis on their structural types, namely, these families are subdivided into four classes with $p\ge 0$, $p=0$, $p=-1$, and $p\le -2$. Besides, we demonstrate that the vertices of cusps of these families as well as their multiple intersections with other families are placed on some analytic curves.