Moments of Inertia and the Chandlerian Period for Two- and Three-Layer Models of the Galilean Satellite Io

Astronomy and Astrophysics – Astronomy

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Galilean Satellite Io - Models - Chandlerian Periods

Scientific paper

We consider two-layer (Fe-FeS core+silicate mantle) and three-layer (Fe-FeS core+silicate mantle+crust) models of the Galilean satellite Io. Two parameters are known from observations for the equilibrium figure of the satellite, the mean density ρ 0 and the Love number k 2. Previously, the Radau-Darwin formula was used to determine the mean moment of inertia. Using formulas of the Figure Theory, we calculated the principal moments of inertia A, B, and C and the mean moment of inertia I for the two-and three-layer models of Io using ρ 0 and k 2 as the boundary conditions. We concluded that when modeling the internal structure of Io, it is better to use the observed value of k 2 than the moment of inertia I derived from k 2 using the Radau-Darwin formula. For the models under consideration, we calculated the Chandlerian wobble periods of Io. For the three-layer model, this period is approximately 460 days.

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