Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone

Abstract

The Staude cone is considered in the problem of motion of a homogeneous isosceles tetrahedron in a central Newtonian force field. The nature of the Staude cone degeneracy is studied for the case when an isosceles tetrahedron is close to regular. It is shown how the Staude cone equations can be obtained within the framework of the Routh theory.