Poisson Equation (Gravity)
laplacian(φ) = 4·π·G·ρ
What it says
The Laplacian of the gravitational potential is proportional to the local mass density.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
laplacian_phi | Laplacian of gravitational potential (1/s^2) | T^-2 |
G | Gravitational constant (6.67430e-11 N·m^2/kg^2) | M^-1 L^3 T^-2 |
rho | Mass density (kg/m^3) | M L^-3 |
Work it out
Enter what you know. No account needed.
Connects to
Filed under Mechanics · derive through it in the explorer