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Astronomy & space · University

Relative luminosity of a blackbody star · formula reference

Use the effective-temperature blackbody luminosity model and compare the same reference quantities.

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Formula

Use the effective-temperature blackbody luminosity model and compare the same reference quantities.

L/Lref = (R/Rref)²(T/Tref)⁴

Worked example

In a blackbody model a star has radius 1.5 times a reference star and effective temperature 1 times the reference. Find L/Lref. Round the final result to 4 decimal places if needed.

Stefan–Boltzmann scaling gives (1.5)²(1)⁴.

2.25

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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