Limiting Magnitude From Aperture
Explicit independently calibrated limiting-magnitude aperture proxy, sky/observer/seeing matched by caller; no universal visual limit. Model only, not an ephemeris, measured stellar identity or observational guarantee.
Description
Limiting magnitude depends on observing conditions as well as aperture.
Limiting magnitude depends on observing conditions as well as aperture.1
A calibrated logarithmic aperture relation is conditional on its reference observation. Use Limiting Magnitude From Aperture to evaluate the supplied inputs under the model explained below.
When to use Limiting Magnitude From Aperture
Use Limiting Magnitude From Aperture to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Limiting Magnitude From Aperture and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Aperture mm, Caller reference aperture mm, Caller observed reference limiting magnitude, Caller calibrated aperture log coefficient using the field table and validation rules below, then run the tool.
- Read Conditional limiting magnitude; interpret the units, signs, ordering and unknown-value placeholders described below.
- Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| apertureMm | Aperture mm | number | Required; constraints below |
| callerReferenceApertureMm | Caller reference aperture mm | number | Required; constraints below |
| callerObservedReferenceLimitingMagnitude | Caller observed reference limiting magnitude | number | Required; constraints below |
| callerCalibratedApertureLogCoefficient | Caller calibrated aperture log coefficient | number | Required; constraints below |
Enter positive aperture and reference aperture in mm, finite reference limiting magnitude and finite caller calibrated logarithmic coefficient. Return referenceMagnitude+coefficient×log10(aperture/reference). Negative coefficients are accepted as supplied. No sky-condition calibration, default coefficient or detection certainty is installed.
limitingMagnitude=referenceMagnitude+callerCoefficient×log10(aperture/referenceAperture) Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| conditionalLimitingMagnitude | Conditional limiting magnitude | number |
{
"input": {
"apertureMm": 100,
"callerReferenceApertureMm": 10,
"callerObservedReferenceLimitingMagnitude": 6,
"callerCalibratedApertureLogCoefficient": 5
},
"output": {
"conditionalLimitingMagnitude": 11
}
}Limitations and assumptions
A calibrated logarithmic aperture relation is conditional on its reference observation. Apply the exact scope and assumptions explained above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.
Alternative or Complementary methods
Use Bortle Class Sky Magnitude Lookup for a related task: Bortle descriptions and measured sky brightness are related but different quantities.
Use Eyepiece Exit Pupil mm Calculator for a related task: Exit-pupil diameter connects aperture with angular magnification.
References
-
Limiting Magnitude From Aperture — tool.io
Similar or alternative tools
- Bortle Class Sky Magnitude Lookup
Bortle descriptions and measured sky brightness are related but different quantities.
- Eyepiece Exit Pupil mm Calculator
Exit-pupil diameter connects aperture with angular magnification.