Star Luminosity Calculator
Result
Calculated result
1
Based on the values entered.
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Estimate stellar luminosity from radius and temperature relative to the Sun.
Formula
L/L☉ = (R/R☉)² × (T/T☉)⁴
- The Stefan–Boltzmann scaling relation gives luminosity relative to the Sun as radius ratio squared times temperature ratio to the fourth power.
- The main inputs are Radius, Temperature. Enter them in the units and format shown in the calculator.
- Use the units, labels and assumptions shown beside each input so the formula is applied consistently.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Star Luminosity
Inputs
- Radius: 1 solar radii
- Temperature: 1 solar temperatures
With radius = 1 solar radius and temperature = 1 solar temperature, luminosity = 1 solar luminosity.
Sample result: Calculating…
Frequently asked questions
What does this calculator estimate?
It estimates luminosity relative to the Sun using radius and effective temperature ratios.
Is this an exact mission-planning tool?
No. It is an educational calculator based on the stated constants and simplified assumptions.
How accurate is the result?
It applies the Stefan–Boltzmann law to idealized effective temperature and radius values.
What does the Star Luminosity calculate?
Estimate stellar luminosity from radius and temperature relative to the Sun.
Which values should I enter?
Enter Radius, Temperature using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: L/L☉ = (R/R☉)² × (T/T☉)⁴.