A Theory of the Equilibrium Figure and Gravitational Field of the Galilean Satellite Io: The Second Approximation. The problem of the interpetation of the Galileo gravitational data

Details A Theory of the Equilibrium Figure and Gravitational Field of the Galilean Satellite Io: The Second Approximation. The problem of the interpetation of the Galileo gravitational data A Theory of the Equilibrium Figure and Gravitational Field of the Galilean Satellite Io: The Second Approximation. The problem of the interpetation of the Galileo gravitational data

May 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agusm.p21d..04z&link_type=abstract

American Geophysical Union, Spring Meeting 2005, abstract #P21D-04

Physics

5417 Gravitational Fields (1227)

Scientific paper

We construct a theory of the equilibrium figure and gravitational field of the Galilean satellite Io to within terms of the second order in the small parameter á .We show that to describe all effects of the second approximation, the equation for the figure of the satellite must contain not only the components of the second spherical function, but also the components of the third and fourth spherical functions. The contribution of the third spherical function is determined by the Love number of the third order h3,whose model value is 1.6582.Measurements of the third-order gravitational moments could reveal the extent to which the hydrostatic equilibrium conditions are satisfied for Io. These conditions are J3=C32=0 and C31/C33=-6.We have calculated the corrections of the second order of smallness to the gravitational moments J2 and C22 .We conclude that when modeling the internal structure of Io, it is better to use the observed value of k2 than the moment of inertia derived from k2 .The corrections to the lengths of the semiaxes of the equilibrium figure of Io are all positive and equal to about 64.5, 26,and 14 m for the a,b, and c axes, respectively. Our theory allows the parameters of the figure and the third and fourth-order gravitational moments that differ from zero to be calculated.

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