mirror of
https://github.com/firestar5683/StarPilot.git
synced 2026-08-21 00:03:45 +08:00
@@ -12,12 +12,14 @@ esq = 6.69437999014 * 0.001
|
||||
e1sq = 6.73949674228 * 0.001
|
||||
|
||||
|
||||
def geodetic2ecef(geodetic):
|
||||
def geodetic2ecef(geodetic, radians=False):
|
||||
geodetic = np.array(geodetic)
|
||||
input_shape = geodetic.shape
|
||||
geodetic = np.atleast_2d(geodetic)
|
||||
lat = (np.pi/180)*geodetic[:,0]
|
||||
lon = (np.pi/180)*geodetic[:,1]
|
||||
|
||||
ratio = 1.0 if radians else (np.pi / 180.0)
|
||||
lat = ratio*geodetic[:,0]
|
||||
lon = ratio*geodetic[:,1]
|
||||
alt = geodetic[:,2]
|
||||
|
||||
xi = np.sqrt(1 - esq * np.sin(lat)**2)
|
||||
@@ -28,41 +30,41 @@ def geodetic2ecef(geodetic):
|
||||
return ecef.reshape(input_shape)
|
||||
|
||||
|
||||
def ecef2geodetic(ecef):
|
||||
def ecef2geodetic(ecef, radians=False):
|
||||
"""
|
||||
Convert ECEF coordinates to geodetic using ferrari's method
|
||||
"""
|
||||
def ferrari(x, y, z):
|
||||
# ferrari's method
|
||||
r = np.sqrt(x * x + y * y)
|
||||
Esq = a * a - b * b
|
||||
F = 54 * b * b * z * z
|
||||
G = r * r + (1 - esq) * z * z - esq * Esq
|
||||
C = (esq * esq * F * r * r) / (pow(G, 3))
|
||||
S = np.cbrt(1 + C + np.sqrt(C * C + 2 * C))
|
||||
P = F / (3 * pow((S + 1 / S + 1), 2) * G * G)
|
||||
Q = np.sqrt(1 + 2 * esq * esq * P)
|
||||
r_0 = -(P * esq * r) / (1 + Q) + np.sqrt(0.5 * a * a*(1 + 1.0 / Q) - \
|
||||
P * (1 - esq) * z * z / (Q * (1 + Q)) - 0.5 * P * r * r)
|
||||
U = np.sqrt(pow((r - esq * r_0), 2) + z * z)
|
||||
V = np.sqrt(pow((r - esq * r_0), 2) + (1 - esq) * z * z)
|
||||
Z_0 = b * b * z / (a * V)
|
||||
h = U * (1 - b * b / (a * V))
|
||||
lat = (180/np.pi)*np.arctan((z + e1sq * Z_0) / r)
|
||||
lon = (180/np.pi)*np.arctan2(y, x)
|
||||
return lat, lon, h
|
||||
|
||||
geodetic = []
|
||||
ecef = np.array(ecef)
|
||||
# Save shape and export column
|
||||
ecef = np.atleast_1d(ecef)
|
||||
input_shape = ecef.shape
|
||||
ecef = np.atleast_2d(ecef)
|
||||
for p in ecef:
|
||||
geodetic.append(ferrari(*p))
|
||||
geodetic = np.array(geodetic)
|
||||
x, y, z = ecef[:, 0], ecef[:, 1], ecef[:, 2]
|
||||
|
||||
ratio = 1.0 if radians else (180.0 / np.pi)
|
||||
|
||||
# Conver from ECEF to geodetic using Ferrari's methods
|
||||
# https://en.wikipedia.org/wiki/Geographic_coordinate_conversion#Ferrari.27s_solution
|
||||
r = np.sqrt(x * x + y * y)
|
||||
Esq = a * a - b * b
|
||||
F = 54 * b * b * z * z
|
||||
G = r * r + (1 - esq) * z * z - esq * Esq
|
||||
C = (esq * esq * F * r * r) / (pow(G, 3))
|
||||
S = np.cbrt(1 + C + np.sqrt(C * C + 2 * C))
|
||||
P = F / (3 * pow((S + 1 / S + 1), 2) * G * G)
|
||||
Q = np.sqrt(1 + 2 * esq * esq * P)
|
||||
r_0 = -(P * esq * r) / (1 + Q) + np.sqrt(0.5 * a * a*(1 + 1.0 / Q) - \
|
||||
P * (1 - esq) * z * z / (Q * (1 + Q)) - 0.5 * P * r * r)
|
||||
U = np.sqrt(pow((r - esq * r_0), 2) + z * z)
|
||||
V = np.sqrt(pow((r - esq * r_0), 2) + (1 - esq) * z * z)
|
||||
Z_0 = b * b * z / (a * V)
|
||||
h = U * (1 - b * b / (a * V))
|
||||
lat = ratio*np.arctan((z + e1sq * Z_0) / r)
|
||||
lon = ratio*np.arctan2(y, x)
|
||||
|
||||
# stack the new columns and return to the original shape
|
||||
geodetic = np.column_stack((lat, lon, h))
|
||||
return geodetic.reshape(input_shape)
|
||||
|
||||
|
||||
|
||||
class LocalCoord(object):
|
||||
"""
|
||||
Allows conversions to local frames. In this case NED.
|
||||
|
||||
Reference in New Issue
Block a user