KMS National Astronomical Observatories, CAS
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 Publication | MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
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ISSN | 0035-8711 |
Volume | 507Issue:2Pages:3057-3069 |
Abstract | We 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 We also survey the global secular dynamics numerically in which the quadrupole approximation is no longer valid. |
Keyword | gravitation celestial mechanics galaxies: disc |
Funding Organization | 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) ; National Natural Science Foundation of China (NSFC) |
DOI | 10.1093/mnras/stab2342 |
WOS Keyword | ORBITAL EVOLUTION ; STELLAR DYNAMICS ; INCLINED ORBIT ; PLANET ; PERTURBATIONS ; ASTEROIDS ; CLUSTERS ; JUPITERS ; SYSTEMS ; MASS |
Language | 英语 |
Funding Project | National Natural Science Foundation of China (NSFC)[11973010] ; National Natural Science Foundation of China (NSFC)[11803066] |
Funding Organization | 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) ; National Natural Science Foundation of China (NSFC) |
WOS Research Area | Astronomy & Astrophysics |
WOS Subject | Astronomy & Astrophysics |
WOS ID | WOS:000697380800100 |
Publisher | OXFORD UNIV PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.bao.ac.cn/handle/114a11/75140 |
Collection | 中国科学院国家天文台 |
Corresponding Author | Liu, Tao |
Affiliation | 1.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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