Secular resonances between bodies on close orbits: a case study of the Himalia prograde group of jovian irregular satellites
详细信息 查看全文
- 作者：Daohai Li ; Apostolos A. Christou
- 刊名：Celestial Mechanics & Dynamical Astronomy
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：125
- 期：2
- 页码：133-160
- 全文大小：2,362 KB
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Astronomy
Mathematics - 出版者：Springer Netherlands
- ISSN：1572-9478
- 卷排序：125
文摘
The gravitational interaction between two objects on similar orbits can effect noticeable changes in the orbital evolution even if the ratio of their masses to that of the central body is vanishingly small. Christou (Icarus 174:215–229, 2005) observed an occasional resonant lock in the differential node \(\varDelta \varOmega \) between two members in the Himalia irregular satellite group of Jupiter in the N-body simulations (corresponding mass ratio \(\sim 10^{-9}\)). Using a semianalytical approach, we have reproduced this phenomenon. We also demonstrate the existence of two additional types of resonance, involving angle differences \(\varDelta \omega \) and \(\varDelta (\varOmega +\varpi )\) between two group members. These resonances cause secular oscillations in eccentricity and/or inclination on timescales \(\sim \)1 Myr. We locate these resonances in (a, e, i) space and analyse their topological structure. In subsequent N-body simulations, we confirm these three resonances and find a fourth one involving \(\varDelta \varpi \). In addition, we study the occurrence rates and the stability of the four resonances from a statistical perspective by integrating 1000 test particles for 100 Myr. We find \(\sim \)10 to 30 librators for each of the resonances. Particularly, the nodal resonance found by Christou is the most stable: 2 particles are observed to stay in libration for the entire integration.KeywordsIrregular satellitesSecular resonancesSolar perturbations Coorbital interactionsNodal resonanceKozai–Lidov mechanismKozai cycle