New Solutions on Inverse Problem of Meridian Arc

Making use of derivative rule of complex functions,how to compute a foot point latitude in ellipsoidal geodesy by Taylor expansion is described.The general expression of the foot point latitude expansion is presented.For comparison,based on the principle of Hermite interpolation,each parameter of the formula can be obtained by Mathematica.The numerical investigation shows that the formulas described are sufficiently accurate up to 0.001″.