General motion of a triaxial rigid body in a Newtonian force field.

Physics

Scientific paper

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Celestial Mechanics

Scientific paper

Although the general motion of a rigid body can be split up into the translation of its center of mass and the rotation about that point, both are usually coupled and therefore we are faced with a generally non-reducible 6-dimensional problem. The authors obtain a new set of canonical variables to describe the roto-translatory motion of a rigid body which is similar to the usual ones coming from considering separately variables to describe translation and rotation. In this new set of variables, two integrals correspond to the conjugate momenta of two cyclic coordinates.

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