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For the system with two degrees of freedom, which is an analogue of the 4thAppelrot class for a gyrostat of the Kowalevski type in a double force fieldthe problem of the classification of bifurcation diagrams is solved. Theseparating set is built and its completeness is proved. All transformationstaking place in the diagrams are shown. The results serve as a necessary partof solving the problem of obtaining the topological invariants for the Reyman -Semenov-Tian-Shansky system.

The atlas of the diagrams for the generalization of the 4th Appelrot class of especially remarkable motions to a gyrostat in a double force field