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Secular dynamics of a test particle perturbed by a Miyamoto-Nagai disc
Liu, Tao1,2,3; Gong, Shengxia1,4; Liao, Xinhao1,4
2021-10-01
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN0035-8711
Volume507Issue:2Pages:3057-3069
AbstractWe study the secular behaviour of a test particle orbiting a dominant central body and perturbed by a Miyamoto-Nagai (MN) disc eta We derive a quadrupole-level secular Hamiltonian of this system, which involves a dimensionless parameter. that is used to characterize the flattening of MN disc eta (The smaller., the flatter disc; and eta = 0 gives the infinitely thin Kuzmin disc.) We find that, in the quadrupole approximation, the perturbation of the MN disc can give rise to the von Zeipel-Lidov-Kozai (ZLK)-like dynamics and depending on the value of. the dynamics has two different manifestations: (i) when eta < 1/3, the test particle's behaviour is similar to that described in the classical ZLK problem. In particular, as eta increases from 0 to 1/3, the critical inclination for the large eccentricity oscillations decreases from 26 degrees, 56 to 0 degrees; (ii) when eta > 1/3, the orbital evolution of the test particle and the phase-space morphology are opposite to the classical ZLK case. This leads to a striking result that the test particle cannot remain on a near-coplanar orbit if its eccentricity is sufficiently large. However, as eta increases further the ZLK-like dynamics would be gradually suppressed by the spherical term in the Hamiltonian. We also survey the global secular dynamics numerically in which the quadrupole approximation is no longer valid.
Keywordgravitation celestial mechanics galaxies: disc
Funding OrganizationNational Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC)
DOI10.1093/mnras/stab2342
WOS KeywordORBITAL EVOLUTION ; STELLAR DYNAMICS ; INCLINED ORBIT ; PLANET ; PERTURBATIONS ; ASTEROIDS ; CLUSTERS ; JUPITERS ; SYSTEMS ; MASS
Language英语
Funding ProjectNational Natural Science Foundation of China (NSFC)[11973010] ; National Natural Science Foundation of China (NSFC)[11803066]
Funding OrganizationNational Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC) ; National Natural Science Foundation of China (NSFC)
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000697380800100
PublisherOXFORD UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/75140
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,Gong, Shengxia,Liao, Xinhao. Secular dynamics of a test particle perturbed by a Miyamoto-Nagai disc[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2021,507(2):3057-3069.
APA Liu, Tao,Gong, Shengxia,&Liao, Xinhao.(2021).Secular dynamics of a test particle perturbed by a Miyamoto-Nagai disc.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,507(2),3057-3069.
MLA Liu, Tao,et al."Secular dynamics of a test particle perturbed by a Miyamoto-Nagai disc".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 507.2(2021):3057-3069.
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