測地計算における逆関数の計算

抄録

In geodesy, it is often necessary to compute a value x when a value of y = f(χ) is given. Until now, a methode using the polynomial expansion of an inverse function has been widely used, but this method is much time consuming. In this report, Newton-Raphsons method, which is becoming popular in numerical method, is applied to the above-mentioned problem. Using this method, the computation can be made more easily and automatically. The following two examples were solved; 1) the camputation of latitude when the meridian arc from the equator is given, 2) the computation of the latitude of the ellipsoid when the latitude of the corresponding sphere is given in the Gauss' double conformal projection.