一个特殊的相对转动非线性动力学模型的近似解

The Approximate Solutions to a Special Relative Rotation Nonlinear Dynamical Model

研究了一个特殊的相对转动非线性动力学模型,分别用同伦摄动法和同伦近似对称法给出近似解。通过对近似解进行数值模拟并进行比较,分析说明了同伦近似对称法的一阶近似解具有更好的准确度。

A special relative rotation nonlinear dynamical model is investigated and the are obtained, using respectively the homotopic approximate symmetrical method perturbation method. The numerical results show that the first-order approximation approximate symmetrical method is highly accurate by comparison and analysis. approximate solutions and the homotopic from the homotopic