Calc formula for finding the energy of a crater from its size

[Dark-Carioca]

A discord bud of mine shared this with me and I figured I could share it in here as well.

(π/6) * ρ * (D)^3 * Y​

rho = Density of the cratered material in kg/m3

D = Diameter of the crater in meters

Y = Yield strength (i.e. fragmentation value) in Pascals

If you want to include depth for a more precise value:

(π/6) * ρ * (D * h)^3 * Y​

h = Height in meters

Otherwise, the units are all the same.

Sources:
https://www.researchgate.net/public...aling_of_Crater_Dimensions_2_Impact_Processes

https://ntrs.nasa.gov/api/citations/19870014063/downloads/19870014063.pdf

They also added "The formula's a bit simplified from the sources but it's p much a good rough estimate given the complexities of impacts."

I wasn't sure what to make of this formula and tbh I have no issue with the way we find energy out of craters the regular way but I figured it'd be worth a thread and a discussion