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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Many exo-solar systems discovered in the last decade consist of planetsorbiting in resonant configurations and consequently, their evolution shouldshow long-term stability. However, due to the mutual planetary interactions amulti-planet system shows complicated dynamics with mostly chaotictrajectories. We can determine possible stable configurations by computingresonant periodic trajectories of the general planar three body problem, whichcan be used for modeling a two-planet system. In this work, we review our modelfor both the planar and the spatial case. We present families of symmetricperiodic trajectories in various resonances and study their linear horizontaland vertical stability. We show that around stable periodic orbits there existregimes in phase space where regular evolution takes place. Unstable periodicorbits are associated with the existence of chaos and planetarydestabilization.

Resonant planetary dynamics: Periodic orbits and long-term stability