Rotational dynamics of celestial bodies. II - Particular and reducible near homoaxial rotations, simulating nonuniformly rotating stars; Definition and construction of preferred frames

Details Rotational dynamics of celestial bodies. II - Particular and reducible near homoaxial rotations, simulating nonuniformly rotating stars; Definition and construction of preferred frames Rotational dynamics of celestial bodies. II - Particular and reducible near homoaxial rotations, simulating nonuniformly rotating stars; Definition and construction of preferred frames

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.114..175g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 114, no. 1, Sept. 1985, p. 175-189.

Astronomy and Astrophysics

Astrophysics

Angular Velocity, Celestial Bodies, Stellar Rotation, Cartesian Coordinates, Coordinate Transformations, Integral Equations, Tensors

Scientific paper

In this paper the 'class of near homoaxial rotations' is defined, being suitable for treatment of problems of nonuniform rotation of stars. This class is represented by a proper form of the so-called 'velocity tensor', the latter describing efficiently the motion of a deformable finite material continuum in the common frame. The 'class of particular near homoaxial rotations' is then defined, characterized by simple transformation equations of the velocity tensor in two noninertial frames; namely, in a 'frame rotating uniformly' relative to the common frame, and in a 'frame rotating nonuniformly' relative to it. A sufficient condition is also derived so that a near homoaxial rotation be reducible to a particular one. 'Preferred frames' are then defined in the sense that they preserve a near homoaxial rotation in their class when referring to this motion; that is, such frames keep invariant the inertial class of the motion. Finally, a method is proposed for constructing a nonuniformly rotating preferred frame, to which a near homoaxial rotation is referred simply as 'radial distortion'.

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