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

Numerical integrations of the Solar System have been carried out for decades.Their results have been used, for example, to determine whether the SolarSystem is chaotic, whether Mercury's orbit is stable, or to help discernEarth's climate history. We argue that all of the past studies we consider inthis work are affected by numerical chaos to different degrees, affecting thepossible orbits and instability probability of Mercury, sometimessignificantly. We show how to eliminate the effects of numerical chaos byresolving Mercury's pericentre passage. We also show that several higher ordersymplectic maps do not exhibit significant differences in resolving pericentrepassage of Mercury (at fixed time step), making their advantages suspect forcalculating long-term orbits. Resolving pericentre passage affects a wide arrayof orbital numerical studies, like exoplanet studies, studies of the galacticcentre, and other $N$-body problems.

Stepsize errors in the $N$-body problem: discerning Mercury's true possible long-term orbits