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Among $\sim 160$ of the multiple exoplanetary systems confirmed, about $30\%$ of them have neighboring pairs with a period ratio $\leq 2$. A significant fraction of these pairs are around mean motion resonance (MMR), more interestingly,…

Earth and Planetary Astrophysics · Physics 2015-06-22 Xiaojia Zhang , Hui Li , Shengtai Li , Douglas N. C. Lin

The process of capture of a molecular enesemble into rotational resonance in the optical centrifuge is investigated. The adiabaticity and phase space incompressibility are used to find the resonant capture probability in terms of two…

Atomic and Molecular Clusters · Physics 2016-04-13 Tsafrir Armon , Lazar Friedland

Many multi-planet systems have been discovered in recent years. Some of them are in mean-motion resonances (MMR). Planet formation theory was successful in explaining the formation of 2:1, 3:1 and other low resonances as a result of…

Earth and Planetary Astrophysics · Physics 2014-11-20 Hanno Rein , John C. B. Papaloizou

We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of…

Earth and Planetary Astrophysics · Physics 2009-07-22 C. A. Giuppone , M. Tadeu dos Santos , C. Beaugé , S. Ferraz-Mello , T. A. Michtchenko

Among multi-planet planetary systems there are a large fraction of resonant systems. Studying the dynamics and formation of these systems can provide valuable informations on processes taking place in protoplanetary disks where the planets…

Earth and Planetary Astrophysics · Physics 2015-05-18 Zsolt Sandor , Wilhelm Kley

We present a model for the formation of high-mass close binary systems in the context of forming massive stars through gas accretion in the centres of stellar clusters. A low-mass wide binary evolves under mass accretion towards a high-mass…

Astrophysics · Physics 2009-11-13 Ian A. Bonnell , Matthew R. Bate

We investigate how the conditions occurring in a protoplanetary disc may determine the final structure of a planetary system emerging from such a disc. We concentrate our attention on the dynamical interactions between disc and planets…

Earth and Planetary Astrophysics · Physics 2015-05-28 E. Podlewska-Gaca , E. Szuszkiewicz

Multi-planetary systems detected by the Kepler mission present an excess of planets close to first-order mean-motion resonances (2:1 and 3:2) but with a period ratio slightly higher than the resonant value. Several mechanisms have been…

Earth and Planetary Astrophysics · Physics 2014-10-22 J. -B. Delisle , J. Laskar

We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations with respect to…

Earth and Planetary Astrophysics · Physics 2022-06-10 M. H. M. Morais , F. Namouni

We provide an analytical approximation to the dynamics in each of the three most important low order secondary resonances (1:1, 2:1, and 3:1) bifurcating from the synchronous primary resonance in the gravitational spin-orbit problem. To…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Christos Efthymiopoulos , Alessandra Celletti , Giuseppe Pucacco

We review the role of rotation in massive close binary systems. Rotation has been advocated as an essential ingredient in massive single star models. However, rotation clearly is most important in massive binaries where one star accretes…

Astrophysics · Physics 2009-11-13 N. Langer , M. Cantiello , S. -C. Yoon , I. Hunter , I. Brott , D. J. Lennon , S. E. de Mink , M. Verheijdt

Characterization of the binary fractions in star clusters is of fundamental importance for many fields in astrophysics. Observations indicate that the majority of stars are found in binary systems, while most stars with masses greater than…

Solar and Stellar Astrophysics · Physics 2015-10-02 Richard de Grijs , Chengyuan Li , Aaron M. Geller

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

Earth and Planetary Astrophysics · Physics 2015-09-16 Valeri V. Makarov

The first study of migration-induced resonances in a pair of Earth-like planets has been performed by Papaloizou and Szuszkiewicz (2005). They concluded that in the case of disparate masses embedded in a disc with the surface density…

Earth and Planetary Astrophysics · Physics 2015-05-14 A. Łacny , E. Szuszkiewicz

The majority of star formation results in binaries or higher multiple systems, and planets in such systems are constrained to a limited range of orbital parameters in order to remain stable against perturbations from stellar companions.…

Earth and Planetary Astrophysics · Physics 2024-07-22 Billy Quarles , Hareesh Gautham Bhaskar , Gongjie Li

The spatial distribution of Kuiper belt objects (KBOs) in 2:1 exterior resonance with Neptune constrains that planet's migration history. Numerical simulations demonstrate that fast planetary migration generates a larger population of KBOs…

Astrophysics · Physics 2009-11-10 Ruth A. Murray-Clay , Eugene I. Chiang

We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving in Kerr spacetime with self-force…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Maarten van de Meent

We examine the dynamics of resonance locking in detached, tidally interacting binary systems. In a resonance lock, a given stellar or planetary mode is trapped in a highly resonant state for an extended period of time, during which the spin…

Solar and Stellar Astrophysics · Physics 2014-10-28 Joshua Burkart , Eliot Quataert , Phil Arras

Super-Earths can form at large orbital radii and migrate inward due to tidal interactions with the circumstellar disk. In this scenario, convergent migration may occur and lead to the formation of resonant pairs of planets. We explore the…

Earth and Planetary Astrophysics · Physics 2020-09-30 Francesco Marzari , Gennaro D'Angelo

We consider a two-planet system, which migrates under the influence of dissipative forces that mimic the effects of gas-driven (Type II) migration. It has been shown that, in the planar case, migration leads to resonant capture after an…

Earth and Planetary Astrophysics · Physics 2017-02-10 G. Voyatzis , K. I. Antoniadou , K. Tsiganis
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