Tidal effects in differentiated viscoelastic bodies: a numerical approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10367153" target="_blank" >RIV/00216208:11320/17:10367153 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10569-017-9772-x" target="_blank" >http://dx.doi.org/10.1007/s10569-017-9772-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10569-017-9772-x" target="_blank" >10.1007/s10569-017-9772-x</a>

Result language

angličtina

Original language name

Tidal effects in differentiated viscoelastic bodies: a numerical approach

Original language description

The majority of confirmed terrestrial exoplanets orbits close to their host stars and their evolution was likely altered by tidal interaction. Nevertheless, due to their viscoelastic properties on the tidal frequencies, their response cannot be described exactly by standardly employed constant-lag models.We therefore introduce a tidal model based on the numerical evaluation of a continuum mechanics problem describing the deformation of viscoelastic (Maxwell or Andrade) planetary mantles subjected to external force. We apply the method on amodel Earth-size planet orbiting a low-mass star and study the effect of the orbital eccentricity, the mantle viscosity and the chosen rheology on the tidal dissipation, the complex Love numbers and the tidal torque. The number of stable spin states (i.e., zero tidal torque) grows with increasing mantle viscosity, similarly to the analytical model of Correia et al. (Astron Astrophys 571:A50, 2014) for homogeneous bodies. This behavior is only slightly influenced by the rheology used. Similarly, the Love numbers do not distinctly depend on the considered rheological model. The increase in viscosity affects the amplitude of their variations. The tidal heating described by the Maxwell rheology attains local minima associated with low spin-orbit resonances, with depth and shape depending on both the eccentricity and the viscosity. For the Andrade rheology, the minima at low resonances are very shallow and the tidal heating for all viscosities resembles a &quot;fluid limit.&quot; The tidal heating is the quantity influenced the most by the rheology, having thus possible impact on the internal thermal evolution.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10500 - Earth and related environmental sciences

Project

<a href="/en/project/GA14-04145S" target="_blank" >GA14-04145S: Internal evolution of close-in terrestrial exoplanets</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Celestial Mechanics and Dynamical Astronomy

ISSN

0923-2958

e-ISSN

—

Volume of the periodical

129

Issue of the periodical within the volume

1-2

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

22

Pages from-to

235-256

UT code for WoS article

000408346900010

EID of the result in the Scopus database

—