Free Chandrasekhar Limit Calculator

Compute the Chandrasekhar mass limit for a white dwarf with a given mean molecular weight per electron: M_Ch = 5.83 / mu_e^2 solar masses.

Chandrasekhar Limit

1.4575 M_sun

Limit (kg)2,898,967,499,999,999,700,000,000,000,000.000 kg

Chandrasekhar Limit vs Mean Molecular Weight per Electron

The Chandrasekhar Limit

The maximum mass a white dwarf can have before electron degeneracy pressure cannot support it against gravity.

Formula

M_Ch ≈ 5.83 / mu_e² solar masses

For a typical carbon-oxygen white dwarf, mu_e = 2, giving M_Ch ≈ 1.46 M_sun. Above this, the star collapses to a neutron star or explodes as a Type Ia supernova.

Example Calculation

Carbon-oxygen white dwarf (mu_e = 2).

  1. 01M_Ch = 5.83 / mu_e²
  2. 02M_Ch = 5.83 / 4 = 1.4575 M_sun
  3. 03In kg: 1.4575 × 1.989e30 = 2.899e30 kg

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