在对高斯投影面积变形的性质及量级进行全面分析的基础上,顾及地球曲率,提出抛物线拟合面积修正法,用以计算椭球面区域的面积。该方法根据区域的横坐标平均值,可直接将高斯平面面积转化为椭球面面积,不仅计算简便、精度高,而且稳定性好。
Based on comprehensive analysis of the nature and magnitude of the deformation of area caused by the Gauss projection,the article defends a method of correcting the area deformation by parabolic fitting to calculate the area,taking into account the curvature of the Earth.It can convert the Gauss plane area to the spherical area on the surface of the ellipsoid directly,according to the average abscissa of area.The results show that this new method is not only simple in calculating,but also maintains high and stable precision,with the relative errors of the revised area at less than a millionth throughout the projection zone.