Airmass approximation calculator

Calculate plane-parallel relative airmass with your own figures.

Your numbers

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

Use plane-parallel relative airmass to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Altitude above horizon (degrees)
45
Plane-parallel relative airmass
1.414214

Try another scenario

Altitude above horizon (degrees)
49.50000000000001
Plane-parallel relative airmass
1.315087
Calculation method

Calculation method

Plane-parallel relative airmass

Secant zenith approximation=1/sin altitude.

Symbols and units
a
Altitude above horizon (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

  • Plane-parallel estimate, limited to altitude ≥10 degrees; refraction/curved atmosphere excluded. 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. Plane-parallel estimate, limited to altitude ≥10 degrees; refraction/curved atmosphere excluded.
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