点M在空间曲线坐标系中的r,v和a及其在不同坐标系中的变换关系

γ,ν and a of Point M in the Spacial Curvilinear Reference Frame and Their Relationship of Conversion in Different Ones

研究用一般的空间曲线坐标表示质点在空间的运动,以求得质点的速度v和加速度a的一般表示,然后采用向量基变换和矩阵运算,得出在同一参照系下不同坐标系中r,v和a的变换关系及其表达式,从而实现运动描述的统一性。

Using general spacial curvilinear coordinates to indicate the motion of particles, the author obtains the general indication of speed v and acceleration α, and finds the relationship of conversion of γ, ν and α and its representative in different reference frames under the same reference system through the conversion of vector and the operation of matrix. Thus, the unity presented by motion is realized.