Jeans Mass
M_J = (5·k_B·T/(G·μ·m_H))^(3/2)·(3/(4·π·ρ))^(1/2)
What it says
The smallest cloud mass that will collapse under its own gravity rather than being held up by thermal pressure.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
M_J | Jeans mass (kg) | M |
T | Cloud temperature (K) | Θ |
ρ | Cloud density (kg/m^3) | M L^-3 |
μ | Mean molecular weight (dimensionless) | 1 |
Work it out
Enter what you know. No account needed.
Fill in all but one: T, ρ, μ, M_J are all empty.
Filed under Astrophysics · derive through it in the explorer