Statistics – Computation
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983m%26p....28....1s&link_type=abstract
Moon and the Planets (ISSN 0165-0807), vol. 28, Feb. 1983, p. 1-9.
Statistics
Computation
2
Planetary Surfaces, Relaxation (Mechanics), Viscosity, Earth Movements, Incompressible Fluids, Mascons, Mathematical Models, Mercury (Planet), Topography
Scientific paper
Attention is given to the relaxation of planetary surface features in the size range from one to several hundred kilometers. For this purpose, use is made of a new type of computational method. This involves the assumption of axial symmetry and supposes also that motion occurs in a vertical direction only. It is pointed out that even though this latter assumption may seem restrictive, comparison with results computed by other techniques shows that it produces relatively exact results. What is more, the method may be easily applied to a wide variety of situations in which, for example, the viscosity is a function of position, time, shear-gradient, and even previous history, as well as cases in which inertial terms are important. The results obtained from applying the method to two particular problems are briefly described. These are relaxation under a highly depth-dependent viscosity condition and the relaxation of lunar mascons.
Bastin J. A.
Smith David H.
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