limb function
Position angle of the Moon's bright limb.
ra, dec are Moon coordinates; ra0, dec0 are Sun coordinates.
All in radians. Returns position angle in radians.
Implementation
double limb(double ra, double dec, double ra0, double dec0) {
final sDa = math.sin(ra0 - ra);
return math.atan2(
math.cos(dec0) * sDa,
math.sin(dec0) * math.cos(dec) - math.cos(dec0) * math.sin(dec) * math.cos(ra0 - ra));
}