Tests of random density models of terrestrial planets

Details Tests of random density models of terrestrial planets Tests of random density models of terrestrial planets

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991georl..18..909k&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 18, May 1991, p. 909-912.

Mathematics

Probability

7

Gravitational Fields, Planetary Gravitation, Probability Density Functions, Terrestrial Planets, Astronomical Models, Earth (Planet), Lunar Gravitation, Mars (Planet), Venus (Planet)

Scientific paper

Random density models are analyzed to determine the low degree harmonics of the gravity field of a planet, and therefrom two properties: an axiality P(l), the percent of the degree variance in the zonal term referred to an axis through the maximum for degree l; and an angularity E(ln), the angle between the maxima for two degrees l,n. The random density distributions give solutions reasonably consistent with the axialities and angularities for the low degrees, l less than 5, of earth, Venus, and moon, but not for Mars, which has improbably large axialities and small angularities. Hence, the random density model is an unreliable predictor for the nonhydrostatic second-degree gravity of Mars, and thus for the moment-of-inertia.

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