Zn = Computed azimuth,The simplest definition of azimuth is the bearing of a heavenly body from a fixed point on land or at sea. To be more precise, we might say azimuth is the bearing to the body's geographical position (the celestial coordinates of declination and hour angle reformulated as latitude and longitude).
Mathematically, the bearing is measured the shortest way from the poles, east or west of an observer's meridian to a maximum of l80°. Hc = Computed altitude
Z = cos-1[(sin(declination) – sin(Latitude) x sin(Hc)) / (cos(Latitude) x cos(Hc))]
Or ...
Z = tan-1 (sin (LHA) / (cos (LHA) x sin(AP Latitude) - cos(AP Latitude) x tan(declination))
Hc = sin-1[sin(declination) x sin(Latitude) + (cos(Latitude) x cos(declination) x cos(LHA)]
((Your Longitude – Sun GHA less than your Longitude) / 15) + GHA integral hour
(Your Longitude – GHA less than your Longitude)
LHA = Local Hour Angle In astro navigation, we need to know the position of a celestial body relative to our own position.
Due to the Earth’s rotation, the Sun moves through 15o of longitude in 1 hour and it moves through 15 minutes of arc in 1 minute of time. the angle between the meridian of the celestial object and the meridian of the observer,
LHA = GHA(of celestial object) - Longitude (of observer)
Long East,
LHA = GHA + LONG (- 360o as necessary)
Long West,
LHA = GHA – LONG (+ 360o as necessary)