Chandrasekhar Limit

MCh=2.86×1030 kgM_{\mathrm{Ch}} = 2.86 \times 10^{30}\ \text{kg}
Value2.86e30 kg
StatusMeasured: ± 1.00e+29 kg (0.035 relative)
SourceChandrasekhar (1931); classical value 1.44 M⊙ for μₑ = 2
CategoriesAstronomicalstellarrelativity
M_Ch in every mass unit
microgram2.8600000e+39 μg
milligram2.8600000e+36 mg
gram2.8600000e+33 g
kilogram2.8600000e+30 kg
metric tonne2.8600000e+27 t
ounce1.0088353e+32 oz
pound6.3052207e+30 lb
stone4.5037291e+29 st
US short ton3.1526103e+27 ton
grain4.4136545e+34 gr
unified atomic mass unit (dalton)1.7223323e+57 u

Learning zone

Subrahmanyan Chandrasekhar worked it out in 1930 at the age of nineteen, on the boat from Madras to Cambridge. Electron degeneracy pressure — the quantum refusal of electrons to share states — can hold up a cooling stellar core, but only until the electrons become relativistic, at which point the pressure stiffens too slowly to keep pace with gravity and there is a hard ceiling near 1.44 M⊙ for typical carbon-oxygen composition. Eddington ridiculed the result publicly for years; Chandrasekhar received the Nobel Prize for it in 1983.

The limit is the reason Type Ia supernovae are useful. A white dwarf accreting from a companion detonates as it approaches the limit, and because the trigger mass is always about the same, the explosions have nearly uniform peak brightness — the standard candles that revealed cosmic acceleration in 1998. The value quoted is the classical result for a mean molecular weight per electron of 2; rotation, composition and general-relativistic corrections shift it by a few per cent.