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Azimuth Calculator

Physics
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Calculates the horizontal angle (azimuth) of a celestial body or a point relative to a reference direction (e.g., North).

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Observer's Latitude (degrees), Declination of Object (degrees), and Hour Angle (degrees) in the units shown.

Step 2

Read Azimuth (Radians), Altitude (Radians), and Azimuth (Degrees) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Sun at Noon (Example)

Observer's Latitude (degrees): 40.71 degrees; Declination of Object (degrees): 10 degrees; Hour Angle (degrees): 0 degrees

Azimuth (Radians): 0 radians; Altitude (Radians): 1.034805714 radians; Azimuth (Degrees): 0 degrees

Star at East

Observer's Latitude (degrees): 34.05 degrees; Declination of Object (degrees): 20 degrees; Hour Angle (degrees): 90 degrees

Azimuth (Radians): 1.863690364 radians; Altitude (Radians): 0.1926928591 radians; Azimuth (Degrees): 106.7815922 degrees

Star at West

Observer's Latitude (degrees): 34.05 degrees; Declination of Object (degrees): 20 degrees; Hour Angle (degrees): 270 degrees

Azimuth (Radians): -1.863690364 radians; Altitude (Radians): 0.1926928591 radians; Azimuth (Degrees): -106.7815922 degrees

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