Star Radius From Luminosity and Temperature
Infer spherical effective blackbody radius from independently supplied bolometric luminosity/temperature. Model only, not an ephemeris, measured stellar identity or observational guarantee.
Description
A blackbody radius can be inferred from bolometric luminosity and temperature.
A blackbody radius can be inferred from bolometric luminosity and temperature.1
Luminosity and effective temperature must describe the same source under the chosen model. Use Star Radius From Luminosity and Temperature to evaluate the supplied inputs under the model explained below.
When to use Star Radius From Luminosity and Temperature
Use Star Radius From Luminosity and Temperature to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Star Radius From Luminosity and Temperature and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Luminosity watts, Temperature kelvin using the field table and validation rules below, then run the tool.
- Read Blackbody radius meters; interpret the units, signs, ordering and unknown-value placeholders described below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| luminosityWatts | Luminosity watts | number | Required; constraints below |
| temperatureKelvin | Temperature kelvin | number | Required; constraints below |
Enter positive bolometric luminosity in W and temperature in K. Invert the same spherical blackbody relation with σ=5.670374419e−8 W/(m²·K⁴) and return radius in m. No distance, extinction or emissivity is inferred.
radiusM=sqrt(luminosityW/(4πσ))/temperatureK² Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| blackbodyRadiusMeters | Blackbody radius meters | number |
{
"input": {
"luminosityWatts": 71.25602647133556,
"temperatureKelvin": 100
},
"output": {
"blackbodyRadiusMeters": 1
}
}Limitations and assumptions
Luminosity and effective temperature must describe the same source under the chosen model. 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 Stefan-Boltzmann Luminosity Calculator for a related task: Stefan–Boltzmann emission combines surface area and temperature to the fourth power.
Use B-V Color Index Temperature Estimator for a related task: A dereddened B−V index can support an empirical temperature estimate.
References
Similar or alternative tools
- Stefan-Boltzmann Luminosity Calculator
Stefan–Boltzmann emission combines surface area and temperature to the fourth power.
- B-V Color Index Temperature Estimator
A dereddened B−V index can support an empirical temperature estimate.