The numerical analysis of the rotational theory for the formation of lunar globules
Abstract
The morphology of lunar globules is studied through the application of a numerical analysis of their rotation in space during cooling. It is assumed that molten rock is shot from the surface of the moon, solidifies in space above the moon and then falls back to the surface. The rotational theory studied makes the following assumptions: the volume of the molten rock does not change during cooling; the angular momentum is conserved; there are no internal motions because of the high viscosity of the molten rock, i.e., in equilibrium the globule is rotating as a rigid body; finally, the kinetic reaction of the globule to the forces is fast relative to the rate of cooling, i.e., the globule reaches equilibrium at constant energy. These assumptions are subjected to numerical analysis yielding good agreement between the actual globule shapes and the numerical results, but leaving some doubt as to the validity of the rotational theory due to the failure to establish the existence of true local minima and an incomplete understanding of the thermokentics.
- Publication:
-
2d International Colloquium on Drops and Bubbles
- Pub Date:
- March 1982
- Bibcode:
- 1982drbu.coll..350R
- Keywords:
-
- Geomorphology;
- Globules;
- Lunar Rocks;
- Numerical Analysis;
- Rotating Liquids;
- Angular Velocity;
- Calculus Of Variations;
- Euler-Lagrange Equation;
- Interfacial Tension;
- Kinetics;
- Lunar Geology;
- Minima;
- Shapes;
- Solidification;
- Thermodynamics;
- Variational Principles;
- Fluid Mechanics and Heat Transfer