Atmospheric Extinction mag/Airmass

Differential same-passband atmospheric extinction against independent reference airmass, signed differences retained. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

Extinction can be compared across airmasses with a band-specific coefficient.

Extinction can be compared across airmasses with a band-specific coefficient.1

A signed additional-extinction value describes the chosen linear relation rather than a full atmospheric correction. Use Atmospheric Extinction mag/Airmass to evaluate the supplied inputs under the model explained below.

When to use Atmospheric Extinction mag/Airmass

Use Atmospheric Extinction mag/Airmass to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Atmospheric Extinction mag/Airmass and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Observed airmass, Reference airmass, Caller band extinction mag per airmass using the field table and validation rules below, then run the tool.
  3. Read Signed additional extinction magnitudes; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. 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 fieldMeaningValue typeRequirement
observedAirmassObserved airmassnumberRequired; constraints below
referenceAirmassReference airmassnumberRequired; constraints below
callerBandExtinctionMagPerAirmassCaller band extinction mag per airmassnumberRequired; constraints below

Enter positive observed and reference airmasses and nonnegative extinction coefficient in magnitudes per airmass. Return (observed−reference)×coefficient, retaining negative differences. No atmospheric fit, band correction or horizon model occurs.

additionalExtinctionMag=(observedAirmass−referenceAirmass)×callerCoefficient

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
signedAdditionalExtinctionMagnitudesSigned additional extinction magnitudesnumber
json
{
  "input": {
    "observedAirmass": 2,
    "referenceAirmass": 1,
    "callerBandExtinctionMagPerAirmass": 0.2
  },
  "output": {
    "signedAdditionalExtinctionMagnitudes": 0.2
  }
}

Limitations and assumptions

A signed additional-extinction value describes the chosen linear relation rather than a full atmospheric correction. 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 Combined Binary Star Magnitude Calculator for a related task: Combined magnitude follows from adding fluxes rather than averaging magnitudes.

Use Apparent to Absolute Magnitude Converter for a related task: Absolute magnitude refers brightness to the conventional reference distance.

References

  1. Atmospheric Extinction mag/Airmass — tool.io

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