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Tilting Styx and Nix but not Uranus with a Spin-Precession-Mean-motion resonance
Quillen, Alice C.1; Chen, Yuan-Yuan1,2; Noyelles, Benoit3; Loane, Santiago1
2018-02-01
Source PublicationCELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN0923-2958
Volume130Issue:2Pages:27
Abstract

A Hamiltonian model is constructed for the spin axis of a planet perturbed by a nearby planet with both planets in orbit about a star. We expand the planet-planet gravitational potential perturbation to first order in orbital inclinations and eccentricities, finding terms describing spin resonances involving the spin precession rate and the two planetary mean motions. Convergent planetary migration allows the spinning planet to be captured into spin resonance. With initial obliquity near zero, the spin resonance can lift the planet's obliquity to near 90. or 180. depending upon whether the spin resonance is first or zeroth order in inclination. Past capture of Uranus into such a spin resonance could give an alternative non-collisional scenario accounting for Uranus's high obliquity. However, we find that the time spent in spin resonance must be so long that this scenario cannot be responsible for Uranus's high obliquity. Our model can be used to study spin resonance in satellite systems. Our Hamiltonian model explains how Styx and Nix can be tilted to high obliquity via outward migration of Charon, a phenomenon previously seen in numerical simulations.

KeywordPlanets and satellites: dynamical evolution and stability Celestial Mechanics Planets and satellites: individual: Styx Planets and satellites: individual: Nix
DOI10.1007/s10569-017-9804-6
WOS KeywordGIANT PLANETS ; SOLAR-SYSTEM ; ORBITAL ARCHITECTURE ; REGULAR SATELLITES ; CHAOTIC OBLIQUITY ; MODEL ; MIGRATION ; EVOLUTION ; CAPTURE ; SATURN
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics ; Mathematics
WOS SubjectAstronomy & Astrophysics ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000426560500004
PublisherSPRINGER
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/22350
Collection中国科学院紫金山天文台
Corresponding AuthorQuillen, Alice C.
Affiliation1.Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA
2.Chinese Acad Sci, Purple Mt Observ, Key Lab Planetary Sci, Nanjing 210008, Jiangsu, Peoples R China
3.Univ Namur, Dept Math, Namur Ctr Complex Syst NaXys, 8 Rempart Vierge, B-5000 Namur, Belgium
Recommended Citation
GB/T 7714
Quillen, Alice C.,Chen, Yuan-Yuan,Noyelles, Benoit,et al. Tilting Styx and Nix but not Uranus with a Spin-Precession-Mean-motion resonance[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,2018,130(2):27.
APA Quillen, Alice C.,Chen, Yuan-Yuan,Noyelles, Benoit,&Loane, Santiago.(2018).Tilting Styx and Nix but not Uranus with a Spin-Precession-Mean-motion resonance.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,130(2),27.
MLA Quillen, Alice C.,et al."Tilting Styx and Nix but not Uranus with a Spin-Precession-Mean-motion resonance".CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 130.2(2018):27.
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