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

The orbits of two individual planets in two known binary star systems, \gammaCephei and HD 196885 are numerically integrated using various numericaltechniques to assess the chaotic or quasi-periodic nature of the dynamicalsystem considered. The Hill stability (HS) function which measures the orbitalperturbation of a planet around the primary star due to the secondary star iscalculated for each system. The maximum Lyapunov exponent (MLE) time series aregenerated to measure the divergence/convergence rate of stable manifolds, whichare used to differentiate between chaotic and non-chaotic orbits. Then, wecalculate dynamical Mean Exponential Growth factor of Nearby Orbits (MEGNO)maps from solving the variational equations along with the equations of motion.These maps allow us to accurately differentiate between stable and unstabledynamical systems. The results obtained from the analysis of HS, MLE, and MEGNOmaps are analysed for their dynamical variations and resemblance. The HS testfor the planets shows stability and quasi-periodicity for at least ten millionyears. The MLE and the MEGNO maps have also indicated the localquasi-periodicity and global stability in a relatively short integrationperiod. The orbital stability of the systems is tested using each indicator forvarious values of planet inclinations (i_{pl} \le 25^\circ) and binaryeccentricities. The reliability of HS criterion is also discussed based on itsstability results compared with the MLE and MEGNO maps.

Application of chaos indicators in the study of dynamics of S-type extrasolar planets in stellar binaries