四元数下欧拉方程实时R-K法求解误差分析

Analysis of the Error Result from Single Step of Runge-Kutta for the Euler Equation with Quaternion Method

对定步长的龙格—库塔法用于欧拉方程的四元数法求解时所表现的巨大误差作了进一步的研究 ,发现方程组是良态的 ,同时在通常的飞行模拟仿真中 ,所取的步长也是能够满足方程组的绝对稳定区域所带来的步长限制 。

This paper makes a further study of the large error which appears in solving the Euler equation with single step of Runge-Kutta in Quaternion method. Through the study, it is found that the equation is fine and simultaneously the step used in usual flight simulation can meet the command of step determined by the absolutely stable domain of the equation, and the main source of the error lies in cumulative errors.