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

We evaluate the effects of a distant planet, commonly known as planet 9, onthe dynamics of the giant planets of the Solar System. We find that, given thelarge distance of planet 9, the dynamics of the inner giant planets can bedecomposed into a classic Lagrange-Laplace dynamics relative to their owninvariant plane (the plane orthogonal to their total angular momentum vector)and a slow precession of said plane relative to the total angular momentumvector of the Solar System, including planet 9. Under some specificconfigurations for planet 9, this precession can explain the current tilt ofapproximately 6 degrees between the invariant plane of the giant planets andthe solar equator. An analytical model is developed to map the evolution of theinclination of the inner giant planets' invariant plane as a function of theplanet 9's mass, inclination, eccentricity and semimajor axis, and somenumerical simulations of the equations of motion of the giant planets andplanet 9 are performed to validate our analytical approach. The longitude ofthe ascending node of planet 9 is found to be linked to the longitude of theascending node of the giant planets' invariant plane, which also constrain thelongitude of the node of planet 9 on the ecliptic. Some of the planet 9configurations that allow explaining the current solar tilt are compatible withthose proposed to explain the orbital confinement of the most distant Kuiperbelt objects. Thus, this work on the one hand gives an elegant explanation forthe current tilt between the invariant plane of the inner giant planets and thesolar equator and, on the other hand, adds new constraints to the orbitalelements of planet 9.

The inclination of the planetary system relative to the solar equator may be explained by the presence of Planet 9