Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russia
Moscow Institute of Physics and Technology
Sakharov A. V.
Some Trajectories of a Point in the Potential of a Fixed Ring and Center
2019, Vol. 15, no. 4, pp. 587-592
The problem of three-dimensional motion of a passively gravitating point in the potential created by a homogeneous thin fixed ring and a point located in the center of the ring is considered. Motion of the point allows two first integrals. In the paper equilibrium points and invariant manifolds of the phase space of the system are found. Motions in them are analyzed. Bifurcations in the phase plane corresponding to the motion in the equatorial plane are shown.
Ivanov A. P., Sakharov A. V.
Dynamics of rigid body, carrying moving masses and rotor, on a rough plane
2012, Vol. 8, No. 4, pp. 763-772
We consider a rigid body which moves upon a rough plane by means of displacements of internal masses. To make turns, we change the angular momentum of the rotor. This leads to asymmetry in normal stresses and appearance of vertical momentum of friction forces.