= Math.cos(U1); double cosU2 = Math.cos(U2); double sinU1 = Math.sin(U1); double sinU2 = Math.sin(U2); double cosU1cosU2 = cosU1 * cosU2; * sinLambda; double t2 = cosU1 * sinU2 - sinU1 * cosU2 * cosLambda; // (14) sinSigma = Math.sqrt(sinSqSigma); cosSigma = sinU1sinU2 + cosU1cosU2 0.0 : cosU1cosU2 * sinLambda / sinSigma; // (17) cosSqAlpha = 1.0
math.tan(math.radians(lat1) U2=U1=math.atan((1-f)*math.tan(math.radians(lat2) sinU1=math.sin(U1) cosU1 =math.cos(U1) sinU2=math.sin(U2) cosU2=math.cos(U2) lam=L for i in range(100): sinLam=math.sin (lam) cosLam=math.cos(lam) sinSigma=math.sqrt((cosU2*sinLam)**2+(cosU1*sinU2-sinU1*cosU2*cosLam )**2) if sinSigma==0: distance=0 #重合点 break cosSigma=sinU1*sinU2+cosU1*cosU2 *cosLam sigma=math.atan2(sinSigma,cosSigma) sinAlpha=cosU1*cosU2*sinLam/sinSigma cosSqAlpha
= math.cos(U1) sinU2 = math.sin(U2) cosU2 = math.cos(U2) # 迭代计算(此处简化,实际需要10次左右迭代收敛) = math.sin(lambda_) cos_lambda = math.cos(lambda_) sin_sigma = math.sqrt( (cosU2 * sin_lambda)**2 + (cosU1 * sinU2 - sinU1 * cosU2 * cos_lambda)**2 ) if sin_sigma == 0: return 0 # 相同点 cos_sigma = sinU1 * sinU2 + cosU1 * cosU2 * cos_lambda sigma = math.atan2(sin_sigma, cos_sigma) sin_alpha = cosU1 * cosU2 * sin_lambda / sin_sigma
输入 ParametricPlot3D[{u Cosu,u Sinu,u Sin[v+u]},{u,0,4 Pi},{v,0,2 Pi},PlotPoints->{60,12}] ?