An analysis of the conservation equations is used to show that the scaling of two experiments performed in two different media is virtually impossible. However, scaling is possible between two experiments in the same material even with the realistically complicated descriptions for the behavior of the rock. It is found that distances scale as the cube root of the energy yields and that dynamic scaling is valid, i.e., distance and time use the same scaling factor. When gravity becomes important, the conditions for scaling further require that distances must scale inversely as the gravity ratios. The ballistics phase of the cratering process is examined. This second phase begins after energy has been coupled to the rock surrounding the energy source. Generally, the effects of gravity are insignificant during the time in which energy is being transferred to the surrounding rock. Examples of cratering on moon, Mars, earth and Jupiter are considered and a quantitative relationship for the crater radius is derived.
Impact and Explosion Cratering: Planetary and Terrestrial Implications
- Pub Date:
- Heuristic Methods;
- Scaling Laws;
- Planetary Surfaces;
- Tables (Data);
- Lunar and Planetary Exploration;