Motion of Rigid Bodies in a Set of Redundant Variables
Abstract
In this article we study the conditions for obtaining canonical transformationsy=f(x) of the phase space, wherey≡(y _{1},y _{2},...,y _{2n }) andx≡(x _{1},x _{2},...,x _{2m }) in such a way that the number of variables is increased. In particular, this study is applied to the rotational motion in functions of the Eulerian parameters (q _{0},q _{1},q _{2},q _{3}) and their conjugate momenta (Q _{0},Q _{1},Q _{2},Q _{3}) or in functions of complex variables (z _{1},z _{2},z _{3},z _{4}) and their conjugate momenta (Z _{1},Z _{2},Z _{3},Z _{4}) defined by means of the previous variables. Finally, our article include some properties on the rotational motion of a rigid body moving about a fixed point.
 Publication:

Celestial Mechanics
 Pub Date:
 January 1988
 DOI:
 10.1007/BF01232962
 Bibcode:
 1988CeMec..42..263C
 Keywords:

 Canonical Forms;
 Celestial Bodies;
 Hamiltonian Functions;
 Jacobi Matrix Method;
 Rotating Bodies;
 Three Dimensional Motion;
 Computational Astrophysics;
 Kepler Laws;
 Manifolds (Mathematics);
 Astrophysics