Telescope limiting magnitude comparison calculator

Calculate ideal aperture-scaled limiting magnitude and magnitude gain with your own figures.

Your numbers

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

Use ideal aperture-scaled limiting magnitude and magnitude gain to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Reference aperture (mm)
100
New aperture (mm)
200
Reference measured limiting magnitude
12
Ideal aperture-scaled limiting magnitude
13.50515
Magnitude gain
1.50515

Try another scenario

Reference aperture (mm)
110.00000000000001
New aperture (mm)
200
Reference measured limiting magnitude
12
Ideal aperture-scaled limiting magnitude
13.298187
Magnitude gain
1.298187
Calculation method

Calculation method

Ideal aperture-scaled limiting magnitude

Gain=5log10(new/reference); same throughput, sky and observer.

Magnitude gain

Gain=5log10(new/reference); same throughput, sky and observer.

Symbols and units
a
Reference aperture (mm)
b
New aperture (mm)
c
Reference measured limiting magnitude

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

  • Relative ideal comparison; not an absolute prediction of faint-object visibility. 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. Relative ideal comparison; not an absolute prediction of faint-object visibility.
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