论文标题

态度动力学上的变异整合的计算方法(3)

A Computational Approach for Variational Integration of Attitude Dynamics on SO(3)

论文作者

Prakash, Nikhil Potu Surya

论文摘要

在本文中,将提供保留流动符号结构的离散力学和变分积分器的简要说明,并将开发可用于求解SO(3)歧管上的隐式方程的Newton-Raphson算法。这些技术将用于模拟Lie组SO上演变的刚体的旋转动力学(3)。

In this article, a brief description of Discrete Mechanics and Variational Integrators which preserve the symplectic structure of the flow will be provided and a Newton-Raphson algorithm that can be used to solve implicit equations on the SO(3) manifold will be developed. These techniques will be used to simulate the rotational dynamics of a rigid body evolving on the Lie Group SO(3).

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