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Calcimator

Stellar Mass Calculator

Calculate stellar mass using mass-luminosity relation, mass-radius relation, and orbital dynamics.

Inputs

Solar Luminosities
Solar Radii
K
days
AU

Results

Estimated Mass

1 Solar Masses

Main Sequence Lifetime

10,000,000,000 billion years

Mass from Luminosity1 Solar Masses
Mass from Radius1 Solar Masses
Mass from Orbit0 Solar Masses
Surface Gravity274.28 m/s²
How to Use This Calculator
  1. Enter Luminosity (solar luminosities), Radius (solar radii), and Surface Temperature (K) from spectrophotometry.
  2. For a binary system, also enter Orbital Period (days) and Semi-Major Axis (AU) to enable the most precise mass estimate.
  3. Read Estimated Mass (solar masses) — the best combined estimate from all available methods.
  4. Compare Mass from Luminosity, Mass from Radius, and Mass from Orbit to assess measurement consistency.
  5. Use Main Sequence Lifetime (billion years) and Surface Gravity (m/s²) to characterize the stellar evolutionary stage.

How the result changes with Radius

RadiusEstimated MassMain Sequence Lifetime
100158.614 Solar Masses0 billion years
350757.429 Solar Masses0 billion years
6501,641.512 Solar Masses0 billion years
9002,465.252 Solar Masses0 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

  1. Identify Input Parameters
    4 parameters
    Luminosity = 1, Radius = 1, Surface Temperature = 5778, Orbital Period (Binary) = 0 = 5 input(s) provided
  2. Calculate Estimated Mass
    Estimated Mass
    1 = 1
  3. Calculate Main Sequence Lifetime
    Main Sequence Lifetime
    10000000000 = 10000000000
  4. Calculate Mass from Luminosity
    Mass from Luminosity
    1 = 1
  5. Calculate Mass from Radius
    Mass from Radius
    1 = 1

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