Elements of spin motion |
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Authors: | Toshio Fukushima Hideharu Ishizaki |
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Institution: | (1) National Astronomical Observatory, 2-21-1, Ohsawa, 181 Mitaka, Tokyo, Japan |
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Abstract: | For use in numerical studies of rotational motion, a set of elements is introduced for the torque-free rotational motion of a rigid body around its barycenter. The elements are defined as the initial values of a modification of the Andoyer canonical variables. A computational procedure is obtained for determining these elements from the combination of the spin angular momentum vector and a triad defining the orientation of the rigid body. A numerical experiment shows that the errors of transformation between the elements and variables are sufficiently small. The errors increase linearly with time for some elements and quadratically for some others. |
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Keywords: | Andoyer canonical variables elliptic functions and integrals torque-free rotational motion numerical computation spin elements |
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