The Solution of SO(3) through a Single Parameter ODE

Chein-Shan Liu

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: In many applications we need to solve an orthogonal transformation tensor Q ∈ SO(3) from a tensorial equation Q˙ = WQ under a given spin history W. In this paper, we address some interesting issues about this equation. A general solution of Q is obtained by transforming the governing equation into a new one in the space of ℝP3. Then, we develop a novel method to solve Q in terms of a single parameter, whose governing equation is a single nonlinear ordinary differential equation (ODE).

Date: 2014
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https://doi.org/10.1155/2014/671921

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:671921

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