单词 | Euler Parameters | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
释义 | Euler ParametersThe four parameters
and are a Quaternion in scalar-vector representation
Because Euler's Rotation Theorem states that an arbitrary rotation may be described by only three parameters, arelationship must exist between these four quantities
The Euler parameters may be given in terms of the Euler Angles by
(Goldstein 1980, p. 155). Using the Euler parameters, the Rotation Formula becomes
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See also Euler Angles, Quaternion, Rotation Matrix
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 198-200, 1985. Goldstein, H. Classical Mechanics, 2nd ed. Reading, MA: Addison-Wesley, 1980. Landau, L. D. and Lifschitz, E. M. Mechanics, 3rd ed. Oxford, England: Pergamon Press, 1976. |
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