空间直角坐标系与球坐标系变换研究

Study on the Transformation Methods Between Rectangular Space Coordinate and Spherical Coordinate

研究空间直角坐标系和球坐标系之间的几种转化关系,探究在不改变物理意义并满足物理条件限制的前提下,应用基本的微积分、三角变换、矢量运算,从不同的角度实现空间直角坐标系与球坐标系之间的转化,从而使得变换过程与方法简单易懂,简化空间直角坐标系与球坐标系之间的变换过程.

This paper mainly studies the several transformation relationships between Rec- tangular space coordinate and Spherical coordinate. Under the premise of not changing the physical meaning and limiting the physical condition, the physical problem can be trans- formed to the mathematical problem by using calculus, triangle transform and vector cal- culation to achieve the transformation between Rectangular space coordinate and Spherical coordinate and finally simplified the transformation process and method. The transform process is greatly simplified.