Star trail exposure estimate calculator

Calculate geometric exposure limit with your own figures.

Your numbers

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

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

Examples

Examples

Try the starting example

Pixel pitch (micrometres)
4
Focal length (mm)
24
Target declination (degrees)
0
Allowed trail length (pixels)
2
Geometric exposure limit (seconds)
4.571147

Try another scenario

Pixel pitch (micrometres)
4.4
Focal length (mm)
24
Target declination (degrees)
0
Allowed trail length (pixels)
2
Geometric exposure limit (seconds)
5.028262
Calculation method

Calculation method

Geometric exposure limit (seconds)

Limit from sidereal angular drift: allowed pixels × pixel angle / (sidereal rate × cos declination).

Symbols and units
a
Pixel pitch (micrometres)
b
Focal length (mm)
c
Target declination (degrees)
d
Allowed trail length (pixels)

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

  • Geometric central-field estimate for a fixed camera; projection and optical blur are 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. Geometric central-field estimate for a fixed camera; projection and optical blur are excluded.
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