Altitude from equatorial coordinates calculator

Calculate geometric altitude with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use geometric altitude to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Observer latitude (degrees)
51.5
Declination (degrees)
20
Hour angle (degrees)
30
Geometric altitude (degrees)
50.738779

Try another scenario

Observer latitude (degrees)
56.650000000000006
Declination (degrees)
20
Hour angle (degrees)
30
Geometric altitude (degrees)
47.145721
Calculation method

Calculation method

Geometric altitude (degrees)

sin alt=sin lat sin dec+cos lat cos dec cos HA.

Symbols and units
a
Observer latitude (degrees)
b
Declination (degrees)
c
Hour angle (degrees)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • No atmospheric refraction correction. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. No atmospheric refraction correction.
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