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
CategoriesAstronomicalStars & Sun
Chandrasekhar Limit in every mass unit
unified atomic mass unit (dalton)1.7223323e+57 u
picogram2.8600000e+45 pg
nanogram2.8600000e+42 ng
microgram2.8600000e+39 μg
milligram2.8600000e+36 mg
centigram2.8600000e+35 cg
grain4.4136545e+34 gr
metric carat1.4300000e+34 ct
gram2.8600000e+33 g
pennyweight1.8390227e+33 dwt
dram1.6141365e+33 dr
ounce1.0088353e+32 oz
troy ounce9.1951135e+31 oz t
troy pound7.6625946e+30 lb t
pound6.3052207e+30 lb
kilogram2.8600000e+30 kg
stone4.5037291e+29 st
slug1.9597225e+29 slug
US hundredweight6.3052207e+28 cwt
UK long hundredweight5.6296613e+28 cwt (UK)
quintal2.8600000e+28 q
US short ton3.1526103e+27 ton
metric tonne2.8600000e+27 t
UK long ton2.8148307e+27 long ton
kilotonne2.8600000e+24 kt
megatonne2.8600000e+21 Mt
gigatonne2.8600000e+18 Gt
Earth mass478,885.5 Mearth
solar mass1.4383352 Msun

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.