椭球膨胀法引起的面积变化分析

Analysis of Area Variation Caused by Ellipsoidal Expansion Method

通过椭球膨胀法设计独立坐标系虽然可以减小长度变形的影响,但会引起面积发生变化。本文分别从地面观测值归算至椭球面和高斯投影面两个过程,分析椭球膨胀法引起的面积变化。结果表明:椭球膨胀法引起的椭球面积变化较大,主要受投影面高程影响,平面面积变化与椭球面积变化基本一致。

The design of independent coordinate system by ellipsoidal expansion method can reduce the influence of length deformation,but it will cause area variation.In this paper,the area variation caused by ellipsoidal expansion method is analyzed from the ground observations to the ellipsoidal surface and the Gauss projection.The results show that the ellipsoidal area variation caused by the ellipsoid expansion method is relatively large,which is mainly affected by the projection elevation.The variation in the plane area is basically consistent with the ellipsoidal area.