Mathematics – Probability
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989georl..16..385b&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 16, May 1989, p. 385-388.
Mathematics
Probability
58
Gravitational Fields, Mars (Planet), Moments Of Inertia, Planetary Gravitation, Oblate Spheroids, Probability Density Functions, Prolate Spheroids, Mars, Moments Of Intertia, Decomposition, Analysis, Hydrostatics, Calculations, Parameters, Physical Properties, Statistical Analysis, Comparisons, Gravity Properties, Equilibrium
Scientific paper
The mean moment of inertia of Mars is, at present, very poorly constrained. The generally accepted value of 0.365 M(R-squared) is obtained by assuming that the observed second degree gravity field can be decomposed into a hydrostatic oblate spheroid and a nonhydrostatic prolate spheroid with an equatorial axis of symmetry. An alternative decomposition is advocated in the present analysis. If the nonhydrostatic component is a maximally triaxial ellipsoid (intermediate moment exactly midway between greatest and least), the hydrostatic component is consistent with a mean moment of 0.345 M(R-squared). The plausibility of this decomposition is supported by statistical arguments and comparison with the earth, moon and Venus.
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