A branching set and integral manifolds of the problem of the motion of a solid body in a linear force field
Abstract
The analysis deals with the integrable problem of the motion of a solid fixed at its center of mass under the action of a linear force field. This force field constitutes a classical approximation for a central Newtonian force field. A branching set (which may be treated as a set of critical values of a certain integral representation) is obtained, and the type of integral manifolds is identified in a nondegenerate case.
 Publication:

Prikladnaia Matematika i Mekhanika
 Pub Date:
 June 1979
 Bibcode:
 1979PriMM..43..419P
 Keywords:

 Body Kinematics;
 Branching (Mathematics);
 Center Of Mass;
 Gravitational Fields;
 Linear Systems;
 Manifolds (Mathematics);
 Set Theory;
 Angular Velocity;
 Classical Mechanics;
 Euler Equations Of Motion;
 Fixed Points (Mathematics);
 Moments Of Inertia;
 Newton Theory;
 Astrodynamics