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

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.