Computational Physics by Philipp O.J. Scherer

Computational Physics by Philipp O.J. Scherer

Author:Philipp O.J. Scherer
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Heidelberg


(13.28)

and

(13.29)

Higher powers of W can be easily calculated since

(13.30)

(13.31)

etc., and the rotation matrix is obtained from the Taylor series

(13.32)

13.4 Transformation Properties of the Angular Velocity

Now imagine we are sitting on the rigid body and observe a mass point moving outside. Its position in the laboratory system is r 1. In the body fixed system we observe it at

(13.33)

and its velocity in the body fixed system is

(13.34)

The time derivative of the inverse matrix follows from



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