@Article{GomesDeieMorb:2017:InPlSy,
author = "Gomes, Rodney and Deienno, Rog{\'e}rio and Morbidelli,
Alessandro",
affiliation = "{Observat{\'o}rio Nacional} and {Instituto Nacional de Pesquisas
Espaciais (INPE)} and {Universit{\'e} C{\^o}te dAzur}",
title = "The inclination of the planetary system relative to the solar
equator may be explained by the presence of planet 9",
journal = "The Astronomical Journal",
year = "2017",
volume = "153",
number = "27",
keywords = "celestial mechanics – planets and satellites: dynamical evolution
and stability – Sun: general.",
abstract = "We evaluate the effects of a distant planet, commonly known as
planet 9, on the dynamics of the giant planets of the solar
system. We find that the dynamics of the giant planets can be
decomposed into a classic Lagrange Laplace dynamics relative to
their own invariant plane and a slow precession of said plane
relative to the total angular momentum vector of the solar system,
including planet 9. Under specific configurations for planet 9,
this precession can explain the current tilt of \∼6°
between the invariant plane of the giant planets and the solar
equator. An analytical model is developed to map the evolution of
the inclination of the inner giant planets invariant plane as a
function of the planet 9\ʼs mass and orbital elements, and
numerical simulations of the equations of motion are performed to
validate our analytical approach. The longitude of the ascending
node of planet 9 is found to be linked to the longitude of the
ascending node of the giant planets invariant plane, which also
constrains the longitude of the node of planet 9 on the ecliptic.
Some of the planet 9 configurations that allow the explanation of
the current solar tilt are compatible with those proposed to
explain the orbital confinement of distant Kuiper Belt objects.
This work gives an elegant explanation for the current tilt
between the invariant plane of the inner giant planets and the
solar equator and also adds new constraints to the orbital
elements of planet 9.",
doi = "10.3847/1538-3881/153/1/27",
url = "http://dx.doi.org/10.3847/1538-3881/153/1/27",
issn = "0004-6256",
language = "en",
targetfile = "gomes_inclination.pdf",
urlaccessdate = "19 abr. 2024"
}