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Orbital evolution of a planet with tidal dissipation in a restricted three-body system
Wang, Wen-Lei1,2,3; Xu, Xue-Qing1,2; Liao, Xin-Hao1,2
2019-09-01
Source PublicationRESEARCH IN ASTRONOMY AND ASTROPHYSICS
ISSN1674-4527
Volume19Issue:9Pages:18
Corresponding AuthorWang, Wen-Lei(wangwl@shao.ac.cn)
AbstractThe angle between planetary spin and the normal direction of an orbital plane is supposed to reveal a range of information about the associated planetary formation and evolution. Since the orbit's eccentricity and inclination oscillate periodically in a hierarchical triple body and tidal friction makes the spin parallel to the normal orientation of the orbital plane with a short timescale in an isolated binary system, we focus on the comprehensive effect of third body perturbation and tidal mechanism on the angle. Firstly, we extend the Hut tidal model (1981) to the general spatial case, adopting the equilibrium tide and weak friction hypothesis with constant delay time, which is suitable for arbitrary eccentricity and any angle v between the planetary spin and normal orientation of the orbital plane. Furthermore, under the constraint of angular momentum conservation, the equations of orbital and ratational motion are given. Secondly, considering the coupled effects of tidal dissipation and third body perturbation, and adopting the quadrupole approximation as the third body perturbation effect, a comprehensive model is established by this work. Finally, we find that the ultimate evolution depends on the timescales of the third body and tidal friction. When the timescale of the third body is much shorter than that of tidal friction, the angle v will oscillate for a long time, even over the whole evolution; when the timescale of the third body is observably larger than that of the tidal friction, the system may enter stable states, with the angle v decaying to zero ultimately, and some cases may have a stable inclination beyond the critical value of Lidov-Kozai resonance. In addition, these dynamical evolutions depend on the initial values of the orbital elements and may aid in understanding the characteristics of the orbits of exoplanets.
Keywordastrometry and celestial mechanics: celestial mechanics planet-star interactions planets and satellites: dynamical evolution and stability
DOI10.1088/1674-4527/19/9/130
WOS KeywordHOT JUPITERS ; GIANT PLANETS ; STELLAR SPIN ; ECCENTRICITY ; SATELLITES ; FRICTION ; EXOPLANETS ; TIDES ; PERTURBATIONS ; OSCILLATIONS
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000485147000008
PublisherNATL ASTRONOMICAL OBSERVATORIES, CHIN ACAD SCIENCES
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Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/27938
Collection中国科学院紫金山天文台
Corresponding AuthorWang, Wen-Lei
Affiliation1.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
2.Chinese Acad Sci, Shanghai Astron Observ, Key Lab Planetary Sci, Shanghai 200030, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Wang, Wen-Lei,Xu, Xue-Qing,Liao, Xin-Hao. Orbital evolution of a planet with tidal dissipation in a restricted three-body system[J]. RESEARCH IN ASTRONOMY AND ASTROPHYSICS,2019,19(9):18.
APA Wang, Wen-Lei,Xu, Xue-Qing,&Liao, Xin-Hao.(2019).Orbital evolution of a planet with tidal dissipation in a restricted three-body system.RESEARCH IN ASTRONOMY AND ASTROPHYSICS,19(9),18.
MLA Wang, Wen-Lei,et al."Orbital evolution of a planet with tidal dissipation in a restricted three-body system".RESEARCH IN ASTRONOMY AND ASTROPHYSICS 19.9(2019):18.
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