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The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines…

Earth and Planetary Astrophysics · Physics 2015-09-16 Konstantin Batygin , Alessandro Morbidelli

We study the establishment of three-planet resonances -similar to the Laplace resonance in the Galilean satellites- and their effects on the mutual inclinations of the orbital planes of the planets, assuming that the latter undergo…

Earth and Planetary Astrophysics · Physics 2015-06-04 A. -S. Libert , K. Tsiganis

We have investigated the probability of temporary capture of asteroids in eccentric orbits by a planet in a circular or an eccentric orbit through analytical and numerical calculations. We found that in the limit of the circular orbit, the…

Earth and Planetary Astrophysics · Physics 2017-03-22 Arika Higuchi , Shigeru Ida

We investigate orbital resonances expected to arise when a system of two planets, with masses in the range 1-4 Earth masses, undergoes convergent migration while embedded in a section of gaseous disc where the flow is laminar. We consider…

Astrophysics · Physics 2009-11-13 J. C. B. Papaloizou , E. Szuszkiewicz

We numerically simulate the past tidal evolution of the five large moons of Uranus (Miranda, Ariel, Umbriel, Titania, and Oberon). We find that the most recent major mean-motion resonance (MMR) between any two moons, the Ariel-Umbriel 5:3…

Earth and Planetary Astrophysics · Physics 2020-05-27 Matija Ćuk , Maryame El Moutamid , Matthew S. Tiscareno

In our previous study of Neptune's 4:7 mean motion resonance (MMR), we discovered that its resonant angle can only librate within a specific eccentricity ($e$) versus inclination ($i$) region, determined by a theoretical limiting curve…

Earth and Planetary Astrophysics · Physics 2023-06-28 Jian Li , S. M. Lawler , Hanlun Lei

We consider the evolution of a binary system interacting due to tidal effects without restriction on the orientation of the orbital, and where significant, spin angular momenta, and orbital eccentricity. We work in the low tidal forcing…

Solar and Stellar Astrophysics · Physics 2020-11-11 P. B. Ivanov , J. C. B. Papaloizou

Planets undergoing convergent migration can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. The dynamics of MMR are typically considered in isolation, including only the forces…

Earth and Planetary Astrophysics · Physics 2025-05-16 JT Laune , Dong Lai

We report results of the first global three-dimensional magnetohydrodynamic simulations of the waves excited in an accretion disc by a rotating star with a dipole magnetic field misaligned from the star's rotation axis (which is aligned…

Solar and Stellar Astrophysics · Physics 2013-03-20 M. M. Romanova , G. V. Ustyugova , A. V. Koldoba , R. V. E. Lovelace

Faster likelihood evaluation enhances the efficiency of gravitational wave signal analysis. We present Mode-by-mode Relative Binning (MRB), a new method designed for obtaining fast and accurate likelihoods for advanced waveform models that…

Instrumentation and Methods for Astrophysics · Physics 2022-01-05 Nathaniel Leslie , Liang Dai , Geraint Pratten

The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational radiation.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carmen Chicone , Bahram Mashhoon , David Retzloff

Eccentricity tides generate a torque that can drive an ocean planet towards asynchronous rotation states of equilibrium when enhanced by resonances associated with the oceanic tidal modes. We investigate the impact of eccentricity tides on…

Earth and Planetary Astrophysics · Physics 2019-09-18 Pierre Auclair-Desrotour , Jérémy Leconte , Emeline Bolmont , Stéphane Mathis

Using viscoelastic mass/spring model simulations, we explore tidal evolution and migration of compact binary asteroid systems. We find that after the secondary is captured into a spin-synchronous state, non-principal axis rotation in the…

Earth and Planetary Astrophysics · Physics 2021-12-15 Alice C. Quillen , Anthony LaBarca , YuanYuan Chen

At present, the main satellites of Uranus are not involved in any low order mean motion resonance (MMR). However, owing to tides raised in the planet, Ariel and Umbriel most likely crossed the 5/3 MMR in the past. Previous studies on this…

Earth and Planetary Astrophysics · Physics 2024-09-12 Sérgio R. A. Gomes , Alexandre C. M. Correia

The early stages of dynamical evolution of planetary systems are often shaped by dissipative processes that drive orbital migration. In multi-planet systems, convergent amassing of orbits inevitably leads to encounters with rational period…

Earth and Planetary Astrophysics · Physics 2015-05-08 Konstantin Batygin

We study the orbital evolution of eccentric binary neutron stars. The orbit is described as a Quasi-Keplarian orbit with perturbations due to tidal couplings. We find that the tidal interaction between stars contributes to orbital…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Huan Yang

In the near-Earth asteroid population, binary and triple systems have been discovered with mutual orbits that have significant eccentricities as well as large semi-major axes. All known systems with eccentric orbits and all widely-separated…

Earth and Planetary Astrophysics · Physics 2015-06-03 Julia Fang , Jean-Luc Margot

We investigate the evolution of two-planet systems embedded in a protoplanetary disc, which are composed of a Jupiter-mass planet plus another body located further out in the disc. We consider outermost planets with masses ranging from 10…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

Spin-orbit misalignments have been detected in exoplanetary systems and binary star systems. Tidal interactions may have played an important role in the evolution of the spin-orbit angle. In this study, we investigate the tidal interactions…

Earth and Planetary Astrophysics · Physics 2017-04-12 Yufeng Lin , Gordon Ogilvie

We present a novel resonance mechanism that can naturally occur in neutron star binaries: a spin-orbit resonance. This resonance locks the binary into a unique state where the neutron star spin evolves alongside the orbit. The resonance…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Zhiqiang Miao , Huan Yang
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