Jeans mass

E59371

The Jeans mass is the critical mass above which a cloud of gas becomes gravitationally unstable and begins to collapse, playing a key role in the formation of stars and galaxies.

All labels observed (2)

Label Occurrences
Jeans mass canonical 4
Jeans length 1

How this entity was disambiguated

Statements (46)

Predicate Object
instanceOf astrophysical concept
gravitational instability criterion
physical quantity
appliesTo interstellar molecular clouds
primordial gas in the early universe
protogalactic gas clouds
approximateFormula M_J ∝ T^{3/2} ρ^{-1/2}
M_J ≈ (5 k_B T / G μ m_H)^{3/2} (3 / 4πρ)^{1/2}
assumes Newtonian celestial mechanics
surface form: Newtonian gravity

isothermal gas
small perturbations in an infinite medium
uniform density
balances thermal pressure against gravitational attraction at the stability threshold
characterizes onset of gravitational instability in a self-gravitating gas
condition cloud remains stable when mass is below Jeans mass
collapse occurs when cloud mass exceeds Jeans mass
contrastedWith Bonnor–Ebert mass
dependsOn gas density
gas temperature
mean molecular weight of the gas
sound speed in the gas
describes critical mass for gravitational collapse of a gas cloud
dimension mass
directlyProportionalTo 3/2 power of gas temperature
field astrophysics
cosmology
star formation theory
historicalContext introduced in early 20th century gravitational instability analyses
influences fragmentation scale of collapsing clouds
typical mass scale of forming stars
inverselyProportionalTo square root of gas density
namedAfter James Jeans
relatedTo Jeans instability
Jeans mass self-linksurface differs
surface form: Jeans length

free-fall time
self-gravity of gas clouds
thermal pressure support
virial theorem
roleIn formation of galaxies
formation of stars
formation of stellar clusters
symbol M_J
usedIn initial mass function studies
models of molecular cloud fragmentation
numerical simulations of star formation
structure formation in the early universe

How these facts were elicited

Referenced by (5)

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

Jeans mass relatedTo Jeans mass self-linksurface differs
this entity surface form: Jeans length
James Jeans knownFor Jeans mass
Bonnor–Ebert mass relatedTo Jeans mass