Bonnor–Ebert mass

E290122

The Bonnor–Ebert mass is the maximum mass a pressure-confined, self-gravitating gas sphere can have while remaining in stable hydrostatic equilibrium before collapsing under its own gravity.

All labels observed (2)

Label Occurrences
Bonnor–Ebert mass canonical 1
Bonnor–Ebert sphere 1

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf astrophysical concept ⓘ
critical mass ⓘ
theoretical construct ⓘ
appliesTo isothermal gas sphere ⓘ
pressure-confined gas cloud ⓘ
self-gravitating gas sphere ⓘ
assumes ideal gas behavior ⓘ
no magnetic fields ⓘ
no rotation ⓘ
static external medium ⓘ
category gravitational collapse criterion ⓘ
characterizes critical Bonnor–Ebert sphere ⓘ
condition external pressure confinement ⓘ
hydrostatic equilibrium ⓘ
isothermal equation of state ⓘ
spherical symmetry ⓘ
dependsOn external pressure ⓘ
gas temperature ⓘ
mean molecular weight of the gas ⓘ
sound speed in the gas ⓘ
describes maximum stable mass of a pressure-confined self-gravitating gas sphere ⓘ
onset of gravitational instability in gas spheres ⓘ
dimension mass ⓘ
equilibriumType hydrostatic equilibrium between self-gravity and pressure ⓘ
field astrophysics ⓘ
interstellar medium physics ⓘ
star formation theory ⓘ
governs transition from stable core to collapsing protostellar core ⓘ
hasApproximateFormula M_BE ≈ 1.18 c_s^4 / (G^{3/2} P_ext^{1/2}) ⓘ
implies collapse under self-gravity when exceeded ⓘ
isSpecialCaseOf Jeans instability analysis with external pressure ⓘ
mathematicalBasis Lane–Emden equation for isothermal spheres ⓘ
namedAfter Rolf Ebert ⓘ
William B. Bonnor ⓘ
relatedTo Bonnor–Ebert sphere ⓘ
linked to: Bonnor–Ebert mass

Jeans mass ⓘ
gravitational instability ⓘ
molecular cloud cores ⓘ
prestellar cores ⓘ
star formation ⓘ
stabilityCriterion configurations with mass above M_BE are unstable to collapse ⓘ
configurations with mass below M_BE are stable to radial perturbations ⓘ
symbol M_BE ⓘ
typicalValue of order a few solar masses for cold molecular cloud cores ⓘ
usedFor assessing stability of molecular cloud cores ⓘ
estimating conditions for star formation onset ⓘ
modeling prestellar core stability ⓘ
yearProposed 1956 ⓘ

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Jeans mass → contrastedWith → Bonnor–Ebert mass ⓘ
Bonnor–Ebert mass → relatedTo → Bonnor–Ebert sphere ⓘ
linked to: Bonnor–Ebert mass