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

作者:Liu Chein Shan*
来源:Journal of Applied Mathematics, 2014, 2014: 671921.
DOI:10.1155/2014/671921

摘要

In many applications we need to solve an orthogonal transformation tensor Q c 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).

  • 出版日期2014

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