Motion of Rigid Bodies in a Set of Redundant Variables

Details Motion of Rigid Bodies in a Set of Redundant Variables Motion of Rigid Bodies in a Set of Redundant Variables

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42..263c&link_type=abstract

Celestial Mechanics, Volume 42, Issue 1-4, pp. 263-277

Mathematics

Complex Variables

2

Scientific paper

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.

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