Аннотация:The problem of equimomental systems of a rigid body is considered. It is shown that the systemof four equal masses located at the vertices of an isosceles tetrahedron is equimomental to a given rigid body. A system of material points of equal masses located at the vertices of an isosceles tetrahedron, which is equimomental to the nucleus of the 67P Churyumov—Gerasimenko comet, is constructed.