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Calculate Crater size from Projectile Diameter

This program estimates the size of a gravity-dominated impact crater made by a projectile whose attributes are known. Three different estimates are presented, but the Pi-scaling method is currently considered the best.

Projectile Descriptors

Enter the projectile diameter in meters

Enter the projectile density in kg/m3
    •  917 kg/m³ for ice
      1500 kg/m³ for porous rock
      3000 kg/m³ for dense rock
      8000 kg/m³ for iron

Impact Conditions

Enter the impact velocity in km/sec
    • 17 km/sec for Earth and Moon asteroidal impacts
      50 km/sec for Earth and Moon cometary impacts
      72 km/sec for retrograde impactors at Earth (Leonids)
       7 km/sec for Martian asteroidal impacts
      45 km/sec for Martian cometary impacts
       5 km/sec typical asteroid belt impact

Enter the impact angle in degrees

The impact angle is measured between the approach trajectory and a plane tangent to the surface. This angle is 90 degrees for a vertical impact.

Target Descriptors

Enter the target density in kg/m3
    •  917 kg/m³ for ice
      1500 kg/m³ for porous rock
      3000 kg/m³ for dense rock
      8000 kg/m³ for iron

Enter the acceleration of gravity in m/sec2
    • 3.7 m/sec² for Mercury
      8.9 m/sec² for Venus
      9.8 m/sec² for Earth
      1.6 m/sec² for the Moon
      3.7 m/sec² for Mars
      1.8 m/sec² for Io
      1.3 m/sec² for Europa
      1.4 m/sec² for Ganymede
      1.2 m/sec² for Callisto
      1.4 m/sec² for Titan
Target Type
liquid water
loose sand
competent rock or saturated soil


The three scaling laws yield the following transient crater diameters (note that diameters are measured at the pre-impact surface. Rim-to-rim diameters are about 1.25 times larger!)

Yield Scaling   meters
Pi Scaling (Preferred method!)    meters
Gault Scaling   meters
Crater Formation Time   seconds

Using the Pi-scaled transient crater, the final crater is a   with a rim-to-rim diameter of   meters.

This impactor would have struck the target with an energy of
  Joules (  MegaTons).

These results come with ABSOLUTELY NO WARRANTY.


The program is based on a FORTRAN 77 program originally written by Prof. H. Jay Melosh and converted to Perl by Ross A. Beyer. More information about the equations can be found in the book by Melosh: Impact Cratering: A Geologic Process, Oxford University Press, 1989, or in the related publication, below.

This program was originally hosted at the Lunar & Planetary Laboratory of the University of Arizona. The files were removed when Prof. Melosh transferred to Purdue University. The HTML file was archived on 3:28:10 Jan 11, 2016 and retrieved from the Internet archive on 22:27:34 Feb 4, 2016. The program is free software under the terms of the GNU General Public License.
UPDATE Jun 1, 2019:
As of this date, the program was back in operation at URL:

Related Publication:
Gareth S. Collins, H. Jay Melosh and Robert A. Marcus, Earth Impact Effects Program: A Web-based computer program for calculating the regional environmental consequences of a meteoroid impact on Earth, Meteoritics & Planetary Science 40, Nr 6, 817–840 (2005). PDF

© Copyright  - Antonio Zamora