# Physics of Bodily Tides in Terrestrial Planets and the Appropriate Scales of Dynamical Evolution

@article{Efroimsky2007PhysicsOB, title={Physics of Bodily Tides in Terrestrial Planets and the Appropriate Scales of Dynamical Evolution}, author={Michael Efroimsky and Val{\'e}ry Lainey}, journal={Journal of Geophysical Research}, year={2007}, volume={112} }

Any model of tides is based on a specific hypothesis of how lagging depends on the tidal- flexure frequency �. For example, Gerstenkorn (1955), MacDonald (1964), and Kaula (1964) assumed constancy of the geometric lag angle � , while Singer (1968) and Mignard (1979, 1980) asserted constancy of the time lagt. Thus, each of these two models was based on a certain law of scaling of the geometric lag: the Gerstenkorn-MacDonald-Kaula theory implied that � ∼ � 0 , while the Singer-Mignard theory…

## 127 Citations

### The Theory of Bodily Tides. The Models and the Physics.

- Physics
- 2008

Any model of tides is based on a specific hypothesis of how the geometric lag δ1 depends on the tidal-flexure frequency χ. Some authors put δ1 ∼ χ 0 , the others set δ1 ∼ χ 1 . The actual dependence…

### Tidal synchronization of close-in satellites and exoplanets. A rheophysical approach

- Geology, Physics
- 2012

This paper presents a new theory of the dynamical tides of celestial bodies. It is founded on a Newtonian creep instead of the classical delaying approach of the standard viscoelastic theories and…

### TIDAL FRICTION AND TIDAL LAGGING. APPLICABILITY LIMITATIONS OF A POPULAR FORMULA FOR THE TIDAL TORQUE

- Physics, Geology
- 2012

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…

### The small and large lags of the elastic and anelastic tides. The virtual identity of two rheophysical theories

- Physics, Geology
- 2015

The aim of this letter is to discuss the virtual identity of two recent tidal theories: the creep tide theory of Ferraz-Mello (Cel. Mech. Dyn. Astron. 116, 109, 2013) and the Maxwell model developed…

### The tidal history of Iapetus: Spin dynamics in the light of a refined dissipation model

- Physics
- 2011

[1] We study the tidal history of an icy moon, basing our approach on a dissipation model, which combines viscoelasticity with anelasticity and takes into account the microphysics of attenuation. We…

### Can the tidal quality factors of terrestrial planets and moons scale as positive powers of the tidal frequency

- Physics
- 2007

In geophysics and seismology, it is a common knowledge that the quality factors Q of the mantle and crust materials scale as the tidal frequency to a positive fractional power (Karato 2007, Efroimsky…

### FREQUENCY DEPENDENCE OF TIDAL Q

- Geology
- 2009

For studies of tidal evolution, values of the key parameter Q, and its frequency dependence, are often derived from estimates of internal energy dissipation when a satellite, planet, or star is…

### TIDAL EVOLUTION OF ASTEROIDAL BINARIES. RULED BY VISCOSITY. IGNORANT OF RIGIDITY

- Physics
- 2015

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…

### Impact of the frequency dependence of tidal Q on the evolution of planetary systems

- Physics, Geology
- 2014

Context. Tidal dissipation in planets and in stars is one of the key physical mechanisms that drive the evolution of planetary systems. Aims. Tidal dissipation properties are intrisically linked to…

### The equilibrium tide in stars and giant planets: I - the coplanar case

- Physics, Geology
- 2012

Since 1995, more than 500 extrasolar planets have been discovered orbiting very close to their parent star, where they experience strong tidal interactions. Their orbital evolution depends on the…

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Any model of tides is based on a specific hypothesis of how the geometric lag δ1 depends on the tidal-flexure frequency χ. Some authors put δ1 ∼ χ 0 , the others set δ1 ∼ χ 1 . The actual dependence…

### Can the tidal quality factors of terrestrial planets and moons scale as positive powers of the tidal frequency

- Physics
- 2007

In geophysics and seismology, it is a common knowledge that the quality factors Q of the mantle and crust materials scale as the tidal frequency to a positive fractional power (Karato 2007, Efroimsky…

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Summary
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