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 NERFINISHED
relatedTo Bonnor–Ebert mass self-linksurface differs
surface form: Bonnor–Ebert sphere

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 mass self-linksurface differs
this entity surface form: Bonnor–Ebert sphere