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		<doi>10.3847/1538-3881/153/1/27</doi>
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		<citationkey>GomesDeieMorb:2017:InPlSy</citationkey>
		<title>The inclination of the planetary system relative to the solar equator may be explained by the presence of planet 9</title>
		<year>2017</year>
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		<author>Gomes, Rodney,</author>
		<author>Deienno, Rogério,</author>
		<author>Morbidelli, Alessandro,</author>
		<group></group>
		<group>DIDMC-CGETE-INPE-MCTIC-GOV-BR</group>
		<affiliation>Observatório Nacional</affiliation>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Université Côte dAzur</affiliation>
		<electronicmailaddress>rodney@on.br</electronicmailaddress>
		<electronicmailaddress>rogerio.deienno@inpe.br</electronicmailaddress>
		<journal>The Astronomical Journal</journal>
		<volume>153</volume>
		<number>27</number>
		<secondarymark>A1_GEOCIÊNCIAS A2_INTERDISCIPLINAR A2_ASTRONOMIA_/_FÍSICA</secondarymark>
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		<keywords>celestial mechanics – planets and satellites: dynamical evolution and stability – Sun: general.</keywords>
		<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 &#8764;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&#700;s 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.</abstract>
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		<language>en</language>
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