projection_parameter.m

吐血奉献雷达数据处理中GPS转大地坐标系源程序

function [alpha K Ps] = projection_parameter(phi_S,phi_N,phi_0,A,E);%%投影参数计算

phi_1 = phi_S + ((phi_N - phi_S)/4.0);
phi_2 = phi_N - ((phi_N - phi_S)/4.0);

rad_0 = phi_0 * pi/180;
rad_1 = phi_1 * pi/180;
r1 = A * cos(rad_1) / sqrt(1-(E*sin(rad_1)*E*sin(rad_1)));
rad_2 = phi_2 * pi/180;
r2 = A * cos(rad_2) / sqrt(1-(E*sin(rad_2)*E*sin(rad_2)));

u_0 = log(tan(pi/4.0 + rad_0/2.00)) + (E/2.0) * (log((1-E*sin(rad_0))/(1+E*sin(rad_0))));
u_1 = log(tan(pi/4.0 + rad_1/2.0)) + (E/2.0) * (log((1-E*sin(rad_1))/(1+E*sin(rad_1))));
u_2 = log(tan(pi/4.0 + rad_2/2.0)) + (E/2.0) * (log((1-E*sin(rad_2))/(1+E*sin(rad_2))));

alpha = ( log(r1) - log(r2) ) / ( u_2 - u_1 );	
K     = exp( log(r1) + alpha*u_1 - log(alpha) );
Ps    = exp( log(K) - (alpha)*u_0 );