三轴椭球表面积的计算

推导得到了三轴椭球表面积的实用计算公式,该公式相较于前人推导的公式不仅形式简单,更重要的是避免了前人推导公式中存在的难以计算的椭圆积分,同时文中的推导过程可以通过改变幂级数展开的阶数来满足不同精度的使用要求.最后,通过相同的地球椭球参数试算比较了文中方法与其他方法得到的计算结果,从而验证了该方法的正确性.

Calculation of surface area of triaxial ellipsoid

The calculating formulas was deduced for the surface area of the triaxial ellipsoid.Compared with the former formulas,the formulas not only have simple form,but also avoid the calculation of the elliptic integral which is very difficult to solve.The advantage of the deducing course is that the expanding order of the power series can be changed to meet different precision requirements.Finally,through calculating the different formulas with same parameters of the earth ellipsoid,the result was obtained,which shows this method is correct.