Stellar Mass Calculator
Calculate stellar mass using mass-luminosity relation, mass-radius relation, and orbital dynamics.
Inputs
Results
Estimated Mass
1 Solar Masses
Main Sequence Lifetime
10,000,000,000 billion years
How to Use This Calculator
- Enter Luminosity (solar luminosities), Radius (solar radii), and Surface Temperature (K) from spectrophotometry.
- For a binary system, also enter Orbital Period (days) and Semi-Major Axis (AU) to enable the most precise mass estimate.
- Read Estimated Mass (solar masses) — the best combined estimate from all available methods.
- Compare Mass from Luminosity, Mass from Radius, and Mass from Orbit to assess measurement consistency.
- Use Main Sequence Lifetime (billion years) and Surface Gravity (m/s²) to characterize the stellar evolutionary stage.
How the result changes with Radius
| Radius | Estimated Mass | Main Sequence Lifetime |
|---|---|---|
| 100 | 158.614 Solar Masses | 0 billion years |
| 350 | 757.429 Solar Masses | 0 billion years |
| 650 | 1,641.512 Solar Masses | 0 billion years |
| 900 | 2,465.252 Solar Masses | 0 billion years |
What each input means
- Luminosity
- Stellar luminosity
- Radius
- Stellar radius
- Surface Temperature
- Effective surface temperature
- Orbital Period (Binary)
- Orbital period for binary system (0 if single star)
- Semi-Major Axis (Binary)
- Semi-major axis for binary system
How this is calculated
Formula
M ∝ L^(1/3.5) (Mass-Luminosity Relation)Worked example, using the default values
- Identify Input Parameters4 parametersLuminosity = 1, Radius = 1, Surface Temperature = 5778, Orbital Period (Binary) = 0 = 5 input(s) provided
- Calculate Estimated MassEstimated Mass1 = 1
- Calculate Main Sequence LifetimeMain Sequence Lifetime10000000000 = 10000000000
- Calculate Mass from LuminosityMass from Luminosity1 = 1
- Calculate Mass from RadiusMass from Radius1 = 1
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Stellar Luminosity Calculator
Calculate stellar luminosity using Stefan-Boltzmann law. Find absolute magnitude, main sequence lifetime, and stellar parameters.
Astrophysics & AstronomyOrbital Period Calculator
Calculate orbital period using Kepler's laws. Find orbital velocity, angular velocity, and perihelion/aphelion distances.
AstronomyBinary Star Orbit
Calculate the total mass of a binary star system from orbital period and semi-major axis using Kepler's Third Law.
AstronomyStar Magnitude Calculator
Calculate absolute magnitude from apparent magnitude and distance using the distance modulus formula. Includes luminosity ratio and parallax.
Discrete MathematicsRecurrence Relation Calculator
Solve linear recurrence relations a_n = p*a_{n-1} + q*a_{n-2} with given initial conditions.
More in Science & Physics.