Dissipation in a tidally perturbed body librating in longitude

@article{Efroimsky2017DissipationIA,
  title={Dissipation in a tidally perturbed body librating in longitude},
  author={Michael Efroimsky},
  journal={Icarus},
  year={2017},
  volume={306},
  pages={328-354}
}
Tides in a body librating about a spin–orbit resonance: generalisation of the Darwin–Kaula theory
The Darwin-Kaula theory of bodily tides is intended for celestial bodies rotating without libration. We demonstrate that this theory, in its customary form, is inapplicable to a librating body.
Rotation of a synchronous viscoelastic shell
Several natural satellites of the giant planets have shown evidence of a global internal ocean, coated by a thin, icy crust. This crust is probably viscoelastic, which would alter its rotational
Rotation and figure evolution in the creep tide theory: a new approach and application to Mercury
This paper deals with the rotation and figure evolution of a planet near the 3/2 spin-orbit resonance and the exploration of a new formulation of the creep tide theory (Folonier et al. 2018). This
Tidal viscosity of Enceladus
Influence of equilibrium tides on transit-timing variations of close-in super-Earths
With the current growth in the discovery of close-in low-mass exoplanets, recent works have been published with the aim to discuss the influences of planetary interior structure parameters on both
Creep tide theory: equations for differentiated bodies with aligned layers
The creep tide theory is used to establish the basic equations of the tidal evolution of differentiated bodies formed by aligned homogeneous layers in co-rotation. The mass concentration of the body
Tidal evolution of the Keplerian elements
We address the expressions for the rates of the Keplerian orbital elements within a two-body problem perturbed by the tides in both partners. Formulae for these rates appeared in the literature in
Deformed state of viscoelastic bodies in one problem of tidal interaction
  • A. Zlenko
  • Materials Science
    IOP Conference Series: Materials Science and Engineering
  • 2020

References

SHOWING 1-10 OF 41 REFERENCES
Tidal dissipation in a homogeneous spherical body. II. Three examples: Mercury, Io, and Kepler-10 b
Abstract : In Efroimsky & Makarov (Paper I), we derived from the first principles a formula for the tidal heating rate in a homogeneous sphere, compared it with the previously used formulae, and
Tides in a body librating about a spin–orbit resonance: generalisation of the Darwin–Kaula theory
The Darwin-Kaula theory of bodily tides is intended for celestial bodies rotating without libration. We demonstrate that this theory, in its customary form, is inapplicable to a librating body.
Tidal Dissipation in a Homogeneous Spherical Body. I. Methods
A formula for the tidal dissipation rate in a spherical body is derived from first principles to correct some mathematical inaccuracies found in the literature. The development is combined with the
TIDAL FRICTION AND TIDAL LAGGING. APPLICABILITY LIMITATIONS OF A POPULAR FORMULA FOR THE TIDAL TORQUE
Tidal torques play a key role in rotational dynamics of celestial bodies. They govern these bodies' tidal despinning and also participate in the subtle process of entrapment of these bodies into
TIDAL EVOLUTION OF ASTEROIDAL BINARIES. RULED BY VISCOSITY. IGNORANT OF RIGIDITY
This is a pilot paper serving as a launching pad for study of orbital and spin evolution of binary asteroids. The rate of tidal evolution of asteroidal binaries is defined by the dynamical Love
Precession Relaxation of Viscoelastic Oblate Rotators
Perturbations of all sorts destabilise the rotation of a small body and leave it in a non-principal spin state. In such a state, the body experiences alternating stresses generated by the inertial
Tidal dissipation by solid friction and the resulting orbital evolution
Dissipation of tidal energy in the earth's mantle and the moon was calculated assuming a dissipation factor 1/Q constant throughout both bodies. In the mantle the dissipation varies from about 2 ×
Contribution of tidal dissipation to lunar thermal history.
Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology
In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the
Tidal evolution of close binary asteroid systems
We provide a generalized discussion of tidal evolution to arbitrary order in the expansion of the gravitational potential between two spherical bodies of any mass ratio. To accurately reproduce the
...
...