Created
March 22, 2022 11:22
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BLU coord to XYZ coord.
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def BLH2XYZ(B, L, H): | |
'''B: lat L:lon H: height''' | |
Lat, Lon = B, L | |
N, E, h = 0, 0, 0 | |
L0 = (int((L - 1.5) / 3.0) + 1) * 3.0 # | |
a = 6378245.0 # | |
F = 298.257223563 # | |
iPI = 0.0174532925199433 # | |
f = 1 / F | |
b = a * (1 - f) | |
ee = (a * a - b * b) / (a * a) | |
e2 = (a * a - b * b) / (b * b) | |
n = (a - b) / (a + b) | |
n2 = (n * n) | |
n3 = (n2 * n) | |
n4 = (n2 * n2) | |
n5 = (n4 * n) | |
al = (a + b) * (1 + n2 / 4 + n4 / 64) / 2 | |
bt = -3 * n / 2 + 9 * n3 / 16 - 3 * n5 / 32 | |
gm = 15 * n2 / 16 - 15 * n4 / 32 | |
dt = -35 * n3 / 48 + 105 * n5 / 256 | |
ep = 315 * n4 / 512 | |
B = B * iPI | |
L = L * iPI | |
L0 = L0 * iPI | |
l = L - L0 | |
cl = (math.cos(B) * l) | |
cl2 = (cl * cl) | |
cl3 = (cl2 * cl) | |
cl4 = (cl2 * cl2) | |
cl5 = (cl4 * cl) | |
cl6 = (cl5 * cl) | |
cl7 = (cl6 * cl) | |
cl8 = (cl4 * cl4) | |
lB = al * (B + bt * math.sin(2 * B) + gm * math.sin(4 * B) + dt * math.sin(6 * B) + ep * math.sin(8 * B)) | |
t = math.tan(B) | |
t2 = (t * t) | |
t4 = (t2 * t2) | |
t6 = (t4 * t2) | |
Nn = a / math.sqrt(1 - ee * math.sin(B) * math.sin(B)) | |
yt = e2 * math.cos(B) * math.cos(B) | |
N = lB | |
N += t * Nn * cl2 / 2 | |
N += t * Nn * cl4 * (5 - t2 + 9 * yt + 4 * yt * yt) / 24 | |
N += t * Nn * cl6 * (61 - 58 * t2 + t4 + 270 * yt - 330 * t2 * yt) / 720 | |
N += t * Nn * cl8 * (1385 - 3111 * t2 + 543 * t4 - t6) / 40320 | |
E = Nn * cl | |
E += Nn * cl3 * (1 - t2 + yt) / 6 | |
E += Nn * cl5 * (5 - 18 * t2 + t4 + 14 * yt - 58 * t2 * yt) / 120 | |
E += Nn * cl7 * (61 - 479 * t2 + 179 * t4 - t6) / 5040 | |
E += 500000 | |
N = 0.9999 * N | |
E = 0.9999 * (E - 500000.0) + 250000.0 | |
return E, N # x,y | |
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