ABSTRACT

In this study, a sexaxial figure of the Earth was created using randomly distributed 6400 control points on the geoid, which was generated by the EGM2008 gravity model. The shape of the sexaxial ellipsoid is defined by its six orthogonal axes. To construct the new geometric figure, eight triaxial ellipsoids were fitted to the Cartesian coordinates of control points in each octant of the geoid using the least squares method. Its geometric origin is constrained to coincide with the centre of mass of the geoid, and the ellipsoid has no net rotation with respect to the WGS84 coordinate system. This study demonstrates that the new geometric figure provides a customised fit to the control points in each octant.

摘要

在这项研究中，使用大地水准面上随机分布的 6400 个控制点创建了地球的六轴图，该控制点由 EGM2008 重力模型生成。性轴椭球体的形状由其六个正交轴定义。为了构建新的几何图形，使用最小二乘法将八个三轴椭球体拟合到大地水准面每个八分圆中控制点的笛卡尔坐标。其几何原点被限制为与大地水准面的质心重合，并且椭球体相对于 WGS84 坐标系没有净旋转。这项研究表明，新的几何图形为每个八分圆中的控制点提供了定制的拟合。