Problems And Solutions !link! | Spherical Astronomy

α (right ascension) = arctan(sin(A) * cos(a) / (cos(A) * sin(a) * sin(φ) + cos(a) * cos(φ))) δ (declination) = arcsin(sin(a) * sin(φ) + cos(a) * cos(φ) * cos(A))

The law of cosines is the primary tool for finding the angular distance between two celestial objects or converting coordinates. spherical astronomy problems and solutions