On the existence of motions in the generalized 4th Appelrot class

The article continues the investigations of bifurcation diagrams of the Kowalevski top in two constant fields started by the first author in [10], [1]. We analyze the admissible values of two almost everywhere independent integrals arising on the invariant submanifold that generalizes the so-called 4th Appelrot class of the Kowalevski top in the field of gravity.