NAOC Open IR
Orbital Dynamics with the Gravitational Perturbation due to a Disk
Liu, Tao1,2,3; Xu, Xue-Qing1,4; Liao, Xin-Hao1,4
2020-10-01
Source PublicationASTROPHYSICAL JOURNAL
ISSN0004-637X
Volume901Issue:2Pages:14
AbstractThe secular behavior of an orbit under gravitational perturbation due to a two-dimensional uniform disk is studied in this paper, through analytical and numerical approaches. We develop the secular approximation of this problem and obtain the averaged Hamiltonian for this system first. We find that when the ratio of the semimajor axes of the inner orbit and the disk radius takes a very small value (MUCH LESS-THAN1), and if the inclination between the inner orbit and the disk is greater than the critical value of 30 degrees, the inner orbit will undergo the (classical) Lidov-Kozai resonance in which variations of eccentricity and inclination are usually very large and the system has two equilibrium points at omega = pi/2, 3 pi/2 (omega is the argument of perihelion). The critical value will slightly drop to about 27 degrees as the ratio increases to 0.4. However, the secular resonances will not occur for the outer orbit and the variations of the eccentricity and inclination are small. When the ratio of the orbit and the disk radius is nearly 1, there are many more complicated Lidov-Kozai resonance types which lead to orbital behaviors that are different from the classical Lidov-Kozai case. In these resonances, the system has more equilibrium points which could appear at omega = 0,pi/2,pi, 3 pi/2, and even other values of omega. The variations of eccentricity and inclination become relatively moderate, moreover, and in some cases the orbit can be maintained at a highly inclined state. In addition, an analysis shows that a Kuzmin disk can also lead to the (classical) Lidov-Kozai resonance, and the critical inclination is also 30 degrees.
KeywordOrbital evolution Protoplanetary disks Celestial mechanics Galaxy disks Orbital resonances
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences
DOI10.3847/1538-4357/abb135
WOS KeywordGALACTIC-CENTER ; INCLINED ORBIT ; PLANET ; ECCENTRICITY ; EVOLUTION ; INCLINATION ; COMETS ; FIELD
Language英语
Funding ProjectChinese Academy of Sciences ; National Natural Science Foundation of China (NSFC)[11673053,11673049] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019265]
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; Youth Innovation Promotion Association of Chinese Academy of Sciences ; Youth Innovation Promotion Association of Chinese Academy of Sciences
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000576135000001
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/81884
Collection中国科学院国家天文台
Corresponding AuthorLiu, Tao
Affiliation1.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
2.ShanghaiTech Univ, Sch Phys Sci & Technol, Shanghai 201210, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Chinese Acad Sci, Key Lab Planetary Sci, Shanghai 200030, Peoples R China
Recommended Citation
GB/T 7714
Liu, Tao,Xu, Xue-Qing,Liao, Xin-Hao. Orbital Dynamics with the Gravitational Perturbation due to a Disk[J]. ASTROPHYSICAL JOURNAL,2020,901(2):14.
APA Liu, Tao,Xu, Xue-Qing,&Liao, Xin-Hao.(2020).Orbital Dynamics with the Gravitational Perturbation due to a Disk.ASTROPHYSICAL JOURNAL,901(2),14.
MLA Liu, Tao,et al."Orbital Dynamics with the Gravitational Perturbation due to a Disk".ASTROPHYSICAL JOURNAL 901.2(2020):14.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, Tao]'s Articles
[Xu, Xue-Qing]'s Articles
[Liao, Xin-Hao]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, Tao]'s Articles
[Xu, Xue-Qing]'s Articles
[Liao, Xin-Hao]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, Tao]'s Articles
[Xu, Xue-Qing]'s Articles
[Liao, Xin-Hao]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.