A. A. Burov, E. A. Nikonova, “Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, Number 5,Pages <nobr>40

This article is cited in 3 papers

Mechanics

Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone

A. A. Burov^ab, E. A. Nikonova^ba

^a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^b National Research University "Higher School of Economics", Moscow

Abstract: The Staude cone is considered in the problem of motion of a homogeneous equilateral tetrahedron in a central force field. The character of the degeneracy of the Staude cone is studied in the case when an equilateral tetrahedron is close to a regular one. It is shown how the equation of the Staude cone can be obtained in the framework of Routh theory.

Key words: Staude cone, permanent rotations, rigid body with a fixed point in the central force field, an equilateral tetrahedron, Routh theory.

UDC: 531.36

Received: 29.06.2020