#=========================================
#
# File Name : eq2ecl.R
# Created By : awright
# Creation Date : 16-12-2023
# Last Modified : Sat 16 Dec 2023 11:00:58 PM CET
#
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#Convert equatorial coordinates to ecliptic coordinates
eq2ecl<-function(alpha,delta,equinox='J2000',plot=FALSE) {
if (equinox=='J2000') {
alpha0<-270.0
delta0<-90-23.439
ell0<-90.0+0.698
} else if (equinox=='B1950') {
alpha0<-270.0
delta0<-90-23.446
ell0<-90.0
} else {
stop("unknown equinox provided: must be either J2000 or B1950")
}
dcos<-function(theta) cos(theta*pi/180)
dsin<-function(theta) sin(theta*pi/180)
datan2<-function(f,x) atan2(f,x)*180/pi
dasin<-function(f) asin(f)*180/pi
alpha_prime=alpha-alpha0
delta_prime=delta-delta0
b = (dasin(dsin(delta)*dsin(delta0)+dcos(delta)*dcos(delta0)*dcos(alpha_prime)))
calcy = (dcos(delta)*dsin(alpha_prime))
calcx = (dsin(delta)*dcos(delta0)-dcos(delta)*dsin(delta0)*dcos(alpha_prime))
ell = -datan2(calcy,calcx)+ell0
ell[which(ell<0)]<-ell[which(ell<0)]+360
ell[which(ell>360)]<-ell[which(ell>360)]-360
return=cbind(ell,b)
}
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