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An Empirical Proxy for the Second Integral of Motion in Rotating Barred or Tri-axial Potentials
Qin, Yu-Jing1; Shen, Juntai2,3,4
2021-06-01
Source PublicationASTROPHYSICAL JOURNAL LETTERS
ISSN2041-8205
Volume913Issue:2Pages:5
AbstractWe identify an effective proxy for the analytically unknown second integral of motion (I-2) for rotating barred or tri-axial potentials. Planar orbits of a given energy follow a tight sequence in the space of the time-averaged angular momentum and its amplitude of fluctuation. The sequence monotonically traces the main orbital families in the Poincare map, even in the presence of resonant and chaotic orbits. This behavior allows us to define the calibrated angular momentum, the average angular momentum ((L-z) over bar) normalized by the amplitude of its fluctuation (sigma L-z), as a numerical proxy for I-2. It also implies that the amplitude of fluctuation in L-z, previously underappreciated, contains valuable information. This new proxy allows one to classify orbital families easily and accurately, even for real orbits in N-body simulations of barred galaxies. It is a good diagnostic tool of dynamical systems, and may facilitate the construction of equilibrium models.
Funding OrganizationNational Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund
DOI10.3847/2041-8213/abfdb2
WOS Keyword3-DIMENSIONAL BARS ; STELLAR DYNAMICS ; ORBITAL DYNAMICS
Language英语
Funding ProjectNational Key R&D Program of China[2018YFA0404501] ; National Natural Science Foundation of China[12025302] ; National Natural Science Foundation of China[11773052] ; National Natural Science Foundation of China[11761131016] ; "111" Project of the Ministry of Education of China[B20019] ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Fund
Funding OrganizationNational Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; "111" Project of the Ministry of Education of China ; "111" Project of the Ministry of Education of China ; Chinese Space Station Telescope project ; Chinese Space Station Telescope project ; Newton Advanced Fellowship - Royal Society ; Newton Advanced Fellowship - Royal Society ; Newton Fund ; Newton Fund
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000655752700001
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/77679
Collection中国科学院国家天文台
Corresponding AuthorShen, Juntai
Affiliation1.Univ Arizona, Steward Observ, 933 N Cherry Ave, Tucson, AZ 85721 USA
2.Shanghai Jiao Tong Univ, Dept Astron, Sch Phys & Astron, 800 Dongchuan Rd, Shanghai 200240, Peoples R China
3.Shanghai Key Lab Particle Phys & Cosmol, Key Lab Particle Astrophys & Cosmol MOE, Shanghai 200240, Peoples R China
4.Chinese Acad Sci, Shanghai Astron Observ, 80 Nandan Rd, Shanghai 200030, Peoples R China
Recommended Citation
GB/T 7714
Qin, Yu-Jing,Shen, Juntai. An Empirical Proxy for the Second Integral of Motion in Rotating Barred or Tri-axial Potentials[J]. ASTROPHYSICAL JOURNAL LETTERS,2021,913(2):5.
APA Qin, Yu-Jing,&Shen, Juntai.(2021).An Empirical Proxy for the Second Integral of Motion in Rotating Barred or Tri-axial Potentials.ASTROPHYSICAL JOURNAL LETTERS,913(2),5.
MLA Qin, Yu-Jing,et al."An Empirical Proxy for the Second Integral of Motion in Rotating Barred or Tri-axial Potentials".ASTROPHYSICAL JOURNAL LETTERS 913.2(2021):5.
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