高斯投影面积变形随偏离中央子午线距离的探讨

Gauss projection area of distortion discussion with deviation from the central meridian

高斯投影是等角横切椭圆柱投影属于等角投影,在长度和面积方面都存在一定的变形。现以不同中央子午线距离1∶1万比例尺梯形图幅为例,通过计算椭球面梯形图幅面积与高斯投影面面积的差值来计算高斯投影的面积变形值,并分析总结高斯投影面积变形与距离中央子午线距离之间的规律,对地理信息工作中有关面积变形问题有一定的参考意义。

Gauss projection is Isometric crosscutting elliptic cylinder belongs to Isometric projection, there are certain deformation in terms of length and area. Based on different central meridian from 1： 10 000 scale trapezoidal sheet as an example, through calculating ellipsoid trapezoid map area with Gauss projection plane area difference to calculate the area of the Gauss projection deformation value, and analyzed the Gauss projection area of deformation and the laws between the distance from the cen- tral meridian, this has a certain reference significance on deformation area for geographic information work.