Astronomy sensor sky coverage calculator

Calculate horizontal field and vertical field with your own figures.

Your numbers

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

Use horizontal field and vertical field to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Sensor width (mm)
23.5
Sensor height (mm)
15.6
Focal length (mm)
600
Horizontal field (degrees)
2.243798
Vertical field (degrees)
1.489606
Rectangular approximate sky area (square degrees)
3.342376

Try another scenario

Sensor width (mm)
25.85
Sensor height (mm)
15.6
Focal length (mm)
600
Horizontal field (degrees)
2.468111
Vertical field (degrees)
1.489606
Rectangular approximate sky area (square degrees)
3.676514
Calculation method

Calculation method

Horizontal field (degrees)

Each field=2 atan(sensor dimension/(2 focal length)); area is product in degrees.

Vertical field (degrees)

Each field=2 atan(sensor dimension/(2 focal length)); area is product in degrees.

Rectangular approximate sky area (square degrees)

Each field=2 atan(sensor dimension/(2 focal length)); area is product in degrees.

Symbols and units
a
Sensor width (mm)
b
Sensor height (mm)
c
Focal length (mm)

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

  • Tangent-plane rectangle; area is not exact spherical solid angle. 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. Tangent-plane rectangle; area is not exact spherical solid angle.
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