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Astronomy & space · University

Magnitude difference from a flux ratio · formula reference

The fluxes must refer to the same measurement band and calibration convention.

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Formula

The fluxes must refer to the same measurement band and calibration convention.

m₂ − m₁ = −2.5 log₁₀(F₂/F₁)

Worked example

Source 2 has 52 times the flux of source 1 in the same band. Find m₂−m₁. Round the final result to 4 decimal places if needed.

Use −2.5 log₁₀(52); the brighter source has the smaller magnitude.

-4.29

Prerequisites and checking

Algebra and the topic definitions. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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