The Solution ofSO(3) through a Single Parameter ODE
Keyword(s):
In many applications we need to solve an orthogonal transformation tensorQ∈SO(3) from a tensorial equationQ˙ = WQunder a given spin historyW. In this paper, we address some interesting issues about this equation. A general solution ofQis obtained by transforming the governing equation into a new one in the space ofℝP3. Then, we develop a novel method to solveQin terms of a single parameter, whose governing equation is a single nonlinear ordinary differential equation (ODE).
1989 ◽
Vol 49
(3)
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pp. 237-245
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2009 ◽
Vol 79-82
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pp. 1205-1208
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1993 ◽
Vol 1
(3)
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1979 ◽
Vol 2
(1)
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pp. 143-145
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