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HK80GEO_TO_HK1980GRID <-
function(latitude, longitude){
#### The latitude and longitude should be both in decimal format.
phi = latitude/(180/pi)
lambda = longitude/(180/pi)
N0 = 819069.80
E0 = 836694.05
phi0 = (22 + (18/60) + 43.68/(3600))/(180/pi)
lambda0 = (114 + (10/60) + (42.80/3600))/(180/pi)
m0 = 1
M0 = 2468395.723
niu_s = 6381480.500
rou_s = 6359840.760
psi_s = 1.003402560
a = 6378388
e2 = 6.722670022e-3
A0 = 1 - ((e2)/4) - (3*(e2^2)/64)
A2 = (3/8)*(e2 + (e2^2)/4)
A4 = (15/256)*(e2^2)
M = a*(A0 * phi - A2 * sin(2 * phi) + A4 * sin(4*phi))
M0 = a*(A0 * phi0 - A2 * sin(2 * phi0) + A4 * sin(4*phi0))
#### Eq. 1
N = N0 + m0*((M - M0) + niu_s*(sin(phi))*((lambda - lambda0)^2/2)*(cos(phi)))
#### Eq. 2
E = E0 + m0*(niu_s*(lambda - lambda0)*cos(phi) + niu_s*((lambda - lambda0)^3/6)*(cos(phi)^3)*(psi_s - tan(phi)^2))
res <- data.frame(N = N, E = E)
return(res)
}
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