English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In spite of planetary resonances being a common dynamical mechanism acting onplanetary systems, no general model exists for describing their properties,particularly for commensurabilities of any order and arbitrary values of theeccentricities and inclinations. The present work presents a semi-analyticalmodel that describes the resonance strength, width, location and stability offixed points, as well as periods of small-amplitude librations. The model isvalid to any two gravitationally interacting massive bodies, and thusapplicable to planets around single or binary stars. Using a theoreticalframework in Poincar\'e and Jacobi reference system we develop asemi-analytical method that employs a numerical evaluation of the averagedresonant disturbing function. Validations of the model are presented comparingits predictions with dynamical maps for real and fictitious systems. The modelis shown to describe very well many dynamical features of planetary resonances.Notwithstanding the good agreements found in all cases, a small deviation isnoted in the location of the resonance centers for circumbinary systems. As aconsequence of its application to the HD31527 system we have found that theupdated best-fit solution leads to a high-eccentricity stable libration betweenthe middle and outer planets inside the 16/3 mean-motion resonance. This is thefirst planetary system whose long-term dynamics appears dominated by such ahigh-order commensurability. In the case of circumbinary planets, the overlapof N/1 mean-motion resonances coincides very well with the size of the globalchaotic region close to the binary, as well as its dependence with the mutualinclination.

Semi-analytical model for planetary resonances: application to planets around single and binary stars