The Martian mean moment-of-inertia and the size of the Mars' core

Mathematics

Scientific paper

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Density (Mass/Volume), Mars (Planet), Mass, Moments Of Inertia, Planetary Cores, Planetary Geology, Planetary Rotation, Planetary Structure, Size Determination, Comparison, Earth (Planet), Earth Planetary Structure, Graphs (Charts), Mathematical Models, Moon, Pressure, Radii, Ratios, Tables (Data)

Scientific paper

The mean moment-of-inertia ratio, I/MR2, of Mars cannot be derived from its precessional constant because the exact value of the Martian axial precession is unknown presently. Using the known geodetic parameters of Mars as the constrained condition, we constructed nine Martian internal structure models. We can then estimate the nonhydrostatic components of the principal moment-of-interia for these models. The interplanetary comparison suggests that the reasonable range of the mean moment-of-interia ratio, I/MR2, of Mars is 0.350 approximately 0.360, and the range of the corresponding radius of Mars' core is 1520 approximately 1850 km. The two parameterically simple models recommended in this paper can be used for reference in the future theoretical researches.

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