Magnitude Flux Ratio Calculator

Same-passband magnitude contrast converts to first/second flux ratio; brighter smaller magnitude. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

Astronomical magnitudes express logarithmic brightness differences.

Astronomical magnitudes express logarithmic brightness differences.1

Lower magnitude corresponds to greater flux within a consistent band and zero point. Use Magnitude Flux Ratio Calculator to evaluate the supplied inputs under the model explained below.

When to use Magnitude Flux Ratio Calculator

Use Magnitude Flux Ratio Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Magnitude Flux Ratio Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter First magnitude, Second magnitude using the field table and validation rules below, then run the tool.
  3. Read First over second flux; 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
firstMagnitudeFirst magnitudenumberRequired; constraints below
secondMagnitudeSecond magnitudenumberRequired; constraints below

Enter finite magnitudes sharing a band and zero point. Return 10^(0.4×(second−first)) as first flux divided by second. Equal magnitudes return 1; smaller first magnitude produces a ratio above 1. No physical flux unit or extinction correction is inferred.

firstOverSecondFlux=10^(0.4×(secondMagnitude−firstMagnitude))

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

Output fieldMeaningValue type
firstOverSecondFluxFirst over second fluxnumber
json
{
  "input": {
    "firstMagnitude": 0,
    "secondMagnitude": 5
  },
  "output": {
    "firstOverSecondFlux": 100
  }
}

Limitations and assumptions

Lower magnitude corresponds to greater flux within a consistent band and zero point. 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. Magnitude Flux Ratio Calculator — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies