Titan's spin state as a constraint on tidal dissipation

土卫六自旋状态对潮汐耗散的限制

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Abstract

Tidal dissipation in satellites affects their orbital and rotational evolution and their ability to maintain subsurface oceans. However, a satellite's dissipation rate, parameterized by k(2)/Q, is hard to measure and is only known for the Moon and Io. Here, we use Titan's measured departure from its expected rotation state to infer k(2)/Q and its boundary layer dissipation parameter K/C(s). Over the likely range of ocean and ice shell thicknesses, we infer a K/C(s) of 6.3 × 10(-14) s(-1) to 2.4 × 10(-10) s(-1), a k(2)/Q of 0.058 to 0.12, and a minimum dissipation factor Q ≈ 5. Titan's dissipation parameters are one to two orders of magnitude larger than the Moon's and suggest an interior with a low effective viscosity. Titan's dissipation rate implies that its eccentricity and inclination are damping rapidly, consistent with an excitation within the last ~350 Myr. The forthcoming Dragonfly lander could measure Titan's tidal response, and JUICE could use our approach to determine Ganymede's k(2)/Q.

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