用幂级数直接求和法求解自由对称体的欧拉-泊松方程的一般解法

arXiv - PHYS - Classical Physics Pub Date : 2024-07-14 DOI:arxiv-2407.10326

Guilherme Corrêa Silva

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引用次数: 0

摘要

欧拉-泊松方程属于一阶微分方程，用于确定给定向量场的积分线。这些方程的一般解可以写成演变参数的幂级数。我们计算了自由对称体情况下的这些级数之和，通过基本函数得到了它的旋转矩阵。

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General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series

Euler-Poisson equations belong to the class of first-order differential equations for determining the integral lines of a given vector field. The general solution to these equations can be written as a power series of the evolution parameter. We calculated the sum of these series for the case of a free symmetric body, obtaining its rotation matrix through the elementary functions.

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arXiv - PHYS - Classical Physics

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