Formula for the Chandler Period (Free Wobble of Planetary Bodies)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508362" target="_blank" >RIV/00216208:11320/25:10508362 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tyt_vvR-r9" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tyt_vvR-r9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1029/2024GL112997" target="_blank" >10.1029/2024GL112997</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Formula for the Chandler Period (Free Wobble of Planetary Bodies)

Popis výsledku v původním jazyce

If the rotational equilibrium of a planetary body is disturbed, the rotation pole responds with a cyclical motion. The duration of one cycle is referred to as the Chandler period, and, when viewed from space, the body wobbles. Because planets are not rigid, the wobble period differs from the Euler period by the factor 1-kX/kf $left(1-{k}_{mathrm{X}}/{k}_{mathrm{f}}right)$, where kX/kf ${k}_{mathrm{X}}/{k}_{mathrm{f}}$ is a ratio of two Love numbers. Here, we perform numerical simulations in which viscoelastic deformation of the planet and the Liouville equation hence polar motion are self-consistently coupled. We show that kX ${k}_{mathrm{X}}$ is not the Love number at the frequency of the Chandler wobble itself, as is commonly assumed, but rather that it is close to ke ${k}_{mathrm{e}}$, the elastic Love number. This result is important when the Chandler periods of Earth and Mars are interpreted, because the measured frequency is related to the internal rheological structure in a different way than previously thought.

Název v anglickém jazyce

Formula for the Chandler Period (Free Wobble of Planetary Bodies)

Popis výsledku anglicky

If the rotational equilibrium of a planetary body is disturbed, the rotation pole responds with a cyclical motion. The duration of one cycle is referred to as the Chandler period, and, when viewed from space, the body wobbles. Because planets are not rigid, the wobble period differs from the Euler period by the factor 1-kX/kf $left(1-{k}_{mathrm{X}}/{k}_{mathrm{f}}right)$, where kX/kf ${k}_{mathrm{X}}/{k}_{mathrm{f}}$ is a ratio of two Love numbers. Here, we perform numerical simulations in which viscoelastic deformation of the planet and the Liouville equation hence polar motion are self-consistently coupled. We show that kX ${k}_{mathrm{X}}$ is not the Love number at the frequency of the Chandler wobble itself, as is commonly assumed, but rather that it is close to ke ${k}_{mathrm{e}}$, the elastic Love number. This result is important when the Chandler periods of Earth and Mars are interpreted, because the measured frequency is related to the internal rheological structure in a different way than previously thought.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10500 - Earth and related environmental sciences

Projekt

<a href="/cs/project/GA22-20388S" target="_blank" >GA22-20388S: Vývoj vnějších slupek ledových měsíců z pohledu numerického modelování</a><br>

Návaznosti

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

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Geophysical Research Letters

ISSN

0094-8276

e-ISSN

1944-8007

Svazek periodika

52

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

e2024GL112997

Kód UT WoS článku

001464675800001

EID výsledku v databázi Scopus

2-s2.0-105002585498