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 increasing number and variety of extrasolar planets illustrates theimportance of characterizing planetary perturbations. Planetary orbits aretypically described by physically intuitive orbital elements. Here, weexplicitly express the equations of motion of the unaveraged perturbed two-bodyproblem in terms of planetary orbital elements by using a generalized form ofGauss' equations. We consider a varied set of position and velocity-dependentperturbations, and also derive relevant specific cases of the equations: whenthey are averaged over fast variables (the "adiabatic" approximation), and inthe prograde and retrograde planar cases. In each instance, we delineate theproperties of the equations. As brief demonstrations of potential applications,we consider the effect of Galactic tides. We measure the effect on thewidest-known exoplanet orbit, Sedna-like objects, and distant scattered diskobjects, particularly with regard to where the adiabatic approximation breaksdown. The Mathematica code which can help derive the equations is freelyavailable upon request.

Planetary Orbital Equations in Externally-Perturbed Systems: Position and Velocity-Dependent Forces