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Article Dans Une Revue Astronomy and Astrophysics - A&A Année : 2024

Tidal frequency dependence of the Saturnian k2 Love number

V. Lainey
  • Fonction : Auteur correspondant
J. W. Dewberry
  • Fonction : Auteur
J. Fuller
  • Fonction : Auteur
N. Cooper
  • Fonction : Auteur
N. Rambaux
  • Fonction : Auteur
Q. Zhang
  • Fonction : Auteur

Résumé

Context. Love numbers describe the fluid and elastic response of a body to the tidal force of another massive object. By quantifying these numbers, we can more accurately model the interiors of the celestial objects concerned.Aims. We determine Saturn’s degree-2 Love number, k2, at four different tidal forcing frequencies.Methods. To do this, we used astrometric data from the Cassini spacecraft and a dynamical model of the orbits of Saturn’s moons.Results. The values obtained for k2 are 0.384 ± 0.015, 0.370 ± 0.023, 0.388 ± 0.006, and 0.376 ± 0.007 (1σ error bar) for the tidal frequencies of Janus–Epimetheus, Mimas, Tethys, and Dione.Conclusions. We show that these values are compatible with a constant Love number formulation. In addition, we compared the observed values with models of dynamical tides excited in Saturn’s interior, also finding a good agreement. Future increases in the measurement precision of Love numbers will provide new constraints on the internal structure of Saturn.
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Dates et versions

hal-04535137 , version 1 (05-04-2024)

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V. Lainey, J. W. Dewberry, J. Fuller, N. Cooper, N. Rambaux, et al.. Tidal frequency dependence of the Saturnian k2 Love number. Astronomy and Astrophysics - A&A, 2024, 684, pp.L3. ⟨10.1051/0004-6361/202449639⟩. ⟨hal-04535137⟩
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