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Tests of random density models of terrestrial planets

Kaula, William M. and Asimow, Paul D. (1991) Tests of random density models of terrestrial planets. Geophysical Research Letters, 18 (5). pp. 909-912. ISSN 0094-8276. doi:10.1029/91GL01064.

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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 < 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 non‐hydrostatic second‐degree gravity of Mars, and thus for the moment‐of‐inertia, which is more plausibly close to 0.365MR^2.

Item Type:Article
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Asimow, Paul D.0000-0001-6025-8925
Additional Information:© 1991 American Geophysical Union. Received 25 July 1990; Revised October 18, 1990; accepted 20 October 1990. Paul Asimow was supported for a visit to U.C.L.A. by the NASA Planetary Geology and Geophysics Undergraduate Research Program.
Group:UNSPECIFIED, Division of Geological and Planetary Sciences
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NASA Planetary Geology and Geophysics Undergraduate Research ProgramUNSPECIFIED
Issue or Number:5
Record Number:CaltechAUTHORS:20120906-111842591
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Official Citation:Kaula, W. M. and P. D. Asimow (1991), Tests of random density models of terrestrial planets, Geophys. Res. Lett., 18(5), 909–912, doi:10.1029/91GL01064.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33908
Deposited By: Ruth Sustaita
Deposited On:06 Sep 2012 18:41
Last Modified:09 Nov 2021 23:05

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