Article
Astronomy & Astrophysics
Giacomo Lari, Melaine Saillenfest, Clara Grassi
Summary: The dynamics of the Galilean satellites are determined by Laplace resonance and strong tidal dissipation, causing variations of their semimajor axes. The compatibility of Callisto's fast migration with the current orbital configuration is investigated. Simulations show that Callisto can cross the 2:1 resonance with Ganymede without being captured, but is mostly captured despite its divergent migration. Eventually, Callisto can escape by crossing a high-order resonance with Ganymede and the system can relax to its current configuration.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2023)
Article
Astronomy & Astrophysics
Hanlun Lei, Jian Li
Summary: In this study, retrograde mean motion resonances (MMRs) are investigated using analytical and numerical methods, leading to the proposal of a new resonant angle to describe retrograde MMRs. The analytical model is validated through non-perturbative analysis using Poincare surfaces of section, showing excellent correspondence with numerical results. Additionally, seven retrograde asteroids are found within the resonant zones of retrograde MMRs with Jupiter, suggesting potential implications for understanding the dynamical evolution of asteroids in retrograde MMRs.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Astronomy & Astrophysics
Federico Mogavero, Jacques Laskar
Summary: This study uses computer algebra systems and canonical perturbation theory to explore the long-term dynamics of planets in the Solar System. It discovers dynamical resonances and chaos, and provides verifications and explanations for these phenomena.
ASTRONOMY & ASTROPHYSICS
(2022)
Article
Astronomy & Astrophysics
Viraj Manwadkar, Barak Kol, Alessandro A. Trani, Nathan W. C. Leigh
Summary: An extensive comparison was made between the statistical properties of non-hierarchical three-body systems and the corresponding theoretical predictions. Four quantities characterizing the statistical distribution of ergodic disintegrations were measured, showing agreement with the theoretical prediction down to the 1 percent level and providing strong evidence for the flux-based three-body statistical formalism. The results represent a significant leap in accuracy compared to previous three-body statistical theories and enable future tests of statistical theories.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Astronomy & Astrophysics
E. Kovari, B. Erdi, Zs Sandor
Summary: This paper explores the application of Shannon entropy in the planar four-body problem, focusing on the resonant configuration of the Kepler-60 extrasolar system to determine the stability of the planets. The study suggests that one configuration is more favorable, but emphasizes the important role of resonances in stabilizing the system, with derived stability times not shorter than 10^8 years in the central parts of the resonances.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Astronomy & Astrophysics
Laetitia Rodet, Dong Lai
Summary: This paper studies two mechanisms that can affect the width of eccentric debris belts and suggests using further observations to confirm their prevalence.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Astronomy & Astrophysics
Kyriaki Antoniadou, Anne-Sophie Libert
Summary: This study delves into the divergence of first-order mean-motion resonances, revealing that the circular family of periodic orbits can drive transitions between resonances under dissipative effects. It serves as a pathway connecting different resonances and influencing orbital evolution under various conditions, such as rapid or slow migration.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Astronomy & Astrophysics
Hanlun Lei, Yan-Xiang Gong
Summary: This work aims to clarify the dynamical essence of the eccentric ZLK effect by exploring its inherent connection with the dynamics of secular resonance in restricted hierarchical planetary systems. The study reveals the existence of multiple branches of libration centres and libration zones in the eccentricity-inclination space, and their agreement with the numerical distributions of resonant orbits validates the resonant model used. Furthermore, it is found that the flipping orbits in the test-particle limit are dominated by apsidal resonances centred at an inclination of 90 degrees.
ASTRONOMY & ASTROPHYSICS
(2022)
Article
Astronomy & Astrophysics
Apostolos A. Christou, Nikolaos Georgakarakos
Summary: Earth's co-orbital asteroids can survive for more than 50% of the age of the Solar system on near-circular, near-planar orbits, with horseshoe particles being more likely to survive. There may be several planetesimal-sized objects originally in co-orbital libration, and the Yarkovsky effect can cause asteroids to escape.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Astronomy & Astrophysics
Tamas Kovacs, Mate Pszota, Emese Kovari, Emese Forgacs-Dajka, Zsolt Sandor
Summary: The long-term dynamical evolution plays a crucial role in planetary research. This paper proposes a stability analysis method based on the generalized Renyi entropy, which is obtained from scalar measurements. By reconstructing the phase space using radial velocity data, Poincare's recurrence theorem helps to obtain the Renyi entropy. The results show that the entropy-based stability analysis is consistent with other chaos detection methods and only requires a relatively short integration time.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Astronomy & Astrophysics
Matthew M. Murphy, Philip J. Armitage
Summary: The diversity of exoplanetary systems can be explained by studying the long-term evolution of secular and resonant dynamics. Higher order resonances can lead to angular momentum deficit and instability, which can be analyzed using Hilbert transform.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Astronomy & Astrophysics
R. Alves Silva, C. Beauge, S. Ferraz-Mello, P. M. Cincotta, C. M. Giordano
Summary: This study examines the dynamical stability of a three-body system using the Shannon entropy approach to estimate diffusivity in Delaunay's action-like phase space. By numerically computing the diffusivity and estimating a macroscopic instability timescale, the study characterizes the system's orbital stability and compares chaotic diffusion measures with other indicators. The analysis of a near-resonant system, HD 181433, shows that entropy may complement other dynamical indicators in assessing chaotic diffusion and system stability.
ASTRONOMY & ASTROPHYSICS
(2021)
Article
Astronomy & Astrophysics
J. Teyssandier, A-S Libert, E. Agol
Summary: Analysis of the TRAPPIST-1 system's posterior distribution reveals that the planets are in two-planet and three-planet resonances, with TTV signals showing common periods from days to decades. N-body simulations with migration forces suggest that under specific disk conditions, a resonance chain similar to the observed one can be formed.
ASTRONOMY & ASTROPHYSICS
(2022)
Article
Astronomy & Astrophysics
Chiara Caracciolo, Ugo Locatelli, Marco Sansottera, Mara Volpi
Summary: The study analyzes the mutual inclination between exoplanets in the nu Andromedae system and determines the stable KAM torus through a model and algorithm. The conclusion is that the configurations with large mass of nu And c are the most robust in terms of orbital stability.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Astronomy & Astrophysics
Miao Li, Hanlun Lei, Yukun Huang, Shengping Gong
Summary: This study focuses on the flip mechanism of Jupiter-crossing orbits in a non-hierarchical Sun-Jupiter triple system, summarizing the characteristics of flipping orbits through numerical experiments and providing guidance for the semi-analytical method. The research systematically investigates the flip region and Jupiter's flip ability, as well as explores gaps around mean motion resonances to understand differences in resonant widths. Ultimately, the work aims to build flip maps for other massive planets and enhance understanding of the evolution of retrograde minor bodies.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)