Equatorial & Alt-Az Coordinates Converter

Convert Right Ascension to Hour Angle and compute real-time Altitude & Azimuth positions.

Input Target Coordinates
Hours
Minutes
Seconds
Degrees (° -90 to +90)
Minutes (')
Observer Altitude/Azimuth Context
Celestial Star Coordinates Report
HOUR ANGLE (HA)
3h 38m
Decimal: 3.634h
OBSERVER STATUS
Setting in the West
ALTITUDE (Alt)
50.1°
Angle above horizon. negative means invisible.
AZIMUTH (Az)
277.9°
Compass heading (0° North, 90° East, 180° South).
Decimal RA: 18.6156h (279.23°)
Decimal Dec: 38.783°
Coordinate Transformation Formula

Hour Angle (HA) = LST − RA. Altitude is computed via spherical trigonometry: sin(Alt) = sin(Dec)sin(Lat) + cos(Dec)cos(Lat)cos(HA). Compass direction is then derived using spherical azimuth conversions.

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