Parameters of the equilibrium figure of Mars.

Details Parameters of the equilibrium figure of Mars. Parameters of the equilibrium figure of Mars.

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993sosyr..27..103z&link_type=abstract

Solar System Research, Vol. 27, No. 2, p. 103 - 110

Physics

1

Mars: Equilibrium Figures

Scientific paper

The authors consider the average moment of inertia and the hydrostatic value of the quadrupole moment J20 in the Reasenberg-Kaula formulation using the Rado-Darwin equation. They find I = (0.366 - 0.368)MR2, where M and R are the planet's mass and mean radius, and J20 = (1.83 - 1.85)·10-3. In the second appproximation of the theory of an equilibrium figure, they calculate the figure parameters s2 and s4, the gravitational moments J20 and J40, and the dynamical flattening ed of the equilibrium figure. The calculation is based on four two-layered and three five-layered models of the density distribution. They find s2 ≍ -3.35·10-3, s4 = (9.43 - 9.63)·10-6, J20 = (1.81 - 1.82)·10-3, J40 = -(7.73 - 7.92)·10-6, and ed-1 = 199.5. The dynamical flattening of Mars, in effective equilibrium, is considerably less than the planet's geometrical flattening, e-1 = 169.5, and less than the flattening of the external equipotential surface of the Martian gravitational potential (egd-1 = 190.5 - 191.5). For the best five-layered model density distributions, I ≍ 0.365 MR2. The flattening of the core-mantle boundary is [ed(CMB)]-1 ≍ 249.

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