Canonical and Universal Elements of the Rotational Motion of a Triaxial Rigid Body

Details Canonical and Universal Elements of the Rotational Motion of a Triaxial Rigid Body Canonical and Universal Elements of the Rotational Motion of a Triaxial Rigid Body

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aj....136.1728f&link_type=abstract

The Astronomical Journal, Volume 136, Issue 4, pp. 1728-1735 (2008).

Astronomy and Astrophysics

Astronomy

6

Celestial Mechanics, Methods: Analytical

Scientific paper

A new set of canonical variables to describe the general rotation of a triaxial rigid body is presented. The transformation between the new variables and the Andoyer canonical variables is explicitly given. The rotational kinetic energy is expressed as a quadratic monomial of one new momentum. Consequently, the torque-free rotations are expressed as a linear function of time for the conjugate coordinate and constants of time for the other two coordinates and three momenta. This means that the new canonical variables are elements in a broad sense. They are a universal counterpart, in rotational dynamics, of the Delaunay canonical elements for elliptic orbital motion.

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