将多体系统动力学方程Ｈｕｓｔｏｎ 标分量形式的描述转换成为矩阵形式，建立了Ｎｅｗ ｔｏｎ－Ｅｕｌｅｒ形式的Ｈｕｓｔｏｎ方法描述的多体系统动力学方程。在矩阵展开过程中， 克服了按低序体阵列排序 （由高序体向低序体） 求和难于形成一般形式的矩阵表示的障碍， 建立了按自然数序列排序 （由低序体向高序体） 求和的描述系统。同时将变换矩阵转变为各体相对 （角） 速度对Ｂｋ 体绝对 （角） 速度贡献的控制矩阵， 实现了对变换矩阵展开的一般表示。 The description of Huston standard component form of multi-body system dynamics equation is transformed into matrix form, and the multi-body system dynamics equation described by Newton-Euler form Huston method is established. In the process of matrix expansion, it overcomes the obstacles of forming the matrix representation in the general form by the sum of low-order body array (from high-order body to low-order body) and establishes the order of natural numbers (from low-order body to high-order body) Description system. At the same time, the transformation matrix is ​​transformed into the control matrix which contributes to the relative (angular) velocity of each body to the absolute (angular) velocity of the Bk body, and the general representation of the transformation matrix is ​​realized.