论文标题
类似扁平的球形坐标和矢量转换的单位向量
Unit Vectors for Similar Oblate Spheroidal Coordinates and Vector Transformation
论文作者
论文摘要
笛卡尔和新型类似的扁平球体坐标之间的单位向量转换得出，反之亦然。它可以有助于在这两种类型的正交坐标之间转换矢量场，这些坐标可以有利地简化表现出的块状几何形状的问题的解决方案。几个例子证明了派生关系的使用。引入了适用于类似扁平球体坐标系的广义正弦和余弦。
The unit vectors transformation between the Cartesian and the novel Similar Oblate Spheroidal coordinates, and vice versa, is derived. It can help to transform vector fields between these two types of orthogonal coordinates which can advantageously simplify solutions of problems exhibiting oblate spheroidal geometry. Several examples demonstrate the use of the derived relations. Generalized sine and cosine applicable in Similar Oblate Spheroidal coordinate system are introduced.
