English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The main purpose of this work is to present a time-domain implementation ofthe Andrade rheology, instead of the traditional expansion in terms of aFourier series of the tidal potential. This approach can be used in any fullythree dimensional numerical simulation of the dynamics of a system of manydeformable bodies. In particular, it allows large eccentricities, large mutualinclinations, and it is not limited to quasi-periodic perturbations. It cantake into account an extended class of perturbations, such as chaotic motions,transient events, and resonant librations.  The results are presented by means of a concrete application: the analysis ofthe libration of Enceladus. This is done by means of both analytic formulas inthe frequency domain and direct numerical simulations. We do not a prioriassume that Enceladus has a triaxial shape, the eventual triaxiality is aconsequence of the satellite motion and its rheology. As a result we obtain ananalytic formula for the amplitude of libration that incorporates a newcorrection due to the rheology.  Our results provide an estimation of the amplitude of libration of the coreof Enceladus as 0.6% of that of the shell. They also reproduce the observed 10GW of tidal heat generated by Enceladus with a value of $0.17\times10^{14}$Pa$\cdot$s for the global effective viscosity under both Maxwell andAndrade rheology.

Andrade rheology in time-domain. Application to Enceladus' dissipation of energy due to forced libration