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

Investigations of two resonant planets orbiting a star or two resonantsatellites orbiting a planet often rely on a few resonant and secular terms inorder to obtain a representative quantitative description of the system'sdynamical evolution. We present a semianalytic model which traces the orbitalevolution of any two resonant bodies in a first- through fourth-ordereccentricity or inclination-based resonance dominated by the resonant andsecular arguments of the user's choosing. By considering the variation oflibration width with different orbital parameters, we identify regions of phasespace which give rise to different resonant ''depths,'' and propose methods tomodel libration profiles. We apply the model to the GJ 876 extrasolar planetarysystem, quantify the relative importance of the relevant resonant and secularcontributions, and thereby assess the goodness of the common approximation ofrepresenting the system by just the presumably dominant terms. We highlight thedanger in using ''order'' as the metric for accuracy in the orbital solution byrevealing the unnatural libration centers produced by the second-order, but notfirst-order, solution, and by demonstrating that the true orbital solution liessomewhere ''in-between'' the third- and fourth-order solutions. We also presentformulas used to incorporate perturbations from central-body oblateness andprecession, and a protoplanetary or protosatellite thin disk with gaps, into aresonant system. We quantify these contributions to the GJ 876 system, andthereby highlight the conditions which must exist for multi-planet exosystemsto be significantly influenced by such factors. We find that massive enoughdisks may convert resonant libration into circulation; such disk-inducedsignatures may provide constraints for future studies of exoplanet systems.

A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876