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Some quadruple star systems in the hierarchical 2+2 configuration exhibit orbit-orbit resonances between the two compact binaries. We show that the most important resonances occur at period ratios of 1:1, 3:2 and 2:1. We describe the…

Solar and Stellar Astrophysics · Physics 2020-04-08 Scott Tremaine

Planet formation occurs around a wide range of stellar masses and stellar system architectures. An improved understanding of the formation process can be achieved by studying it across the full parameter space, particularly toward the…

We consider a planetary system consisting of two primaries, namely a star and a giant planet, and a massless secondary, say a terrestrial planet or an asteroid, which moves under their gravitational attraction. We study the dynamics of this…

Earth and Planetary Astrophysics · Physics 2018-05-23 Kyriaki I. Antoniadou , Anne-Sophie Libert

The dynamical excitation of asteroids due to mean motion resonant interactions with planets is enhanced when their parent star leaves the main sequence. However, numerical investigation of resonant outcomes within post-main-sequence…

Earth and Planetary Astrophysics · Physics 2022-11-30 Dimitri Veras , Nikolaos Georgakarakos , Ian Dobbs-Dixon

Many of the multi-planet systems discovered to date have been notable for their compactness, with neighbouring planets closer together than any in the Solar System. Interestingly, planet-hosting stars have a wide range of ages, suggesting…

Earth and Planetary Astrophysics · Physics 2018-07-04 Alysa Obertas , Christa Van Laerhoven , Daniel Tamayo

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

(Abridged) We have numerically explored the stable planetary geometry for the multiple systems involved in a 2:1 mean motion resonance, and herein we mainly concentrate on the study of the HD 82943 system by employing two sets of the…

Astrophysics · Physics 2007-05-23 Ji Jianghui , H. Kinoshita , Liu Lin , H. Nakai , Li Guangyu

Early dynamical evolution of close-in planetary systems is shaped by an intricate combination of planetary gravitational interactions, orbital migration, and dissipative effects. While the process of convergent orbital migration is expected…

Earth and Planetary Astrophysics · Physics 2019-05-01 Gabriele Pichierri , Konstantin Batygin , Alessandro Morbidelli

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

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

We present a stability analysis of a large set of simulated planetary systems of three or more planets based on architectures of multiplanet systems discovered by \textit{Kepler} and \textit{K2}. We propagated 21,400 simulated planetary…

Earth and Planetary Astrophysics · Physics 2024-04-11 Kathryn Volk , Renu Malhotra

A gap in exoplanets' radius distribution has been widely attributed to the photo-evaporation threshold of their progenitors' gaseous envelope. Giant impacts can also lead to substantial mass-loss. The outflowing gas endures tidal torque…

Earth and Planetary Astrophysics · Physics 2023-04-05 S. Wang , D. N. C. Lin

Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

In the past two decades, transit surveys have revealed a class of planets with thick atmospheres -- sub-Neptunes -- that must have completed their accretion in protoplanet disks. When planets form in the gaseous disk, the gravitational…

Earth and Planetary Astrophysics · Physics 2025-06-10 Shuo Huang , Chris Ormel , Simon Portegies Zwart , Eiichiro Kokubo , Tian Yi

Most stars form in embedded clusters. Stellar flybys may affect the orbital architecture of the systems by exciting the eccentricity and causing dynamical instability. Since, incidentally, the timescale over which a cluster loses its…

Earth and Planetary Astrophysics · Physics 2015-06-12 Francesco Marzari , Giovanni Picogna

In the last few years, a number of planets have been proposed to orbit several post main-sequence binary star systems on the basis of observed variations in the timing of eclipses between the binary components. A common feature of these…

Earth and Planetary Astrophysics · Physics 2014-01-28 Jonathan Horner , Robert Wittenmyer , Tobias Hinse , Jonathan Marshall , Alex Mustill

At least 10-15% of nearby sun-like stars have known Jupiter-mass planets. In contrast, very few planets are found in mature open and globular clusters such as the Hyades and 47 Tuc. We explore here the possibility that this dichotomy is due…

Astrophysics · Physics 2009-05-12 R. Spurzem , M. Giersz , D. C. Heggie , D. N. C. Lin

We study the stability of mean-motion resonances (MMR) between two planets during their migration in a protoplanetary disk. We use an analytical model of resonances, and describe the effect of the disk by a migration timescale (T_{m,i}) and…

Earth and Planetary Astrophysics · Physics 2015-07-22 J. -B. Delisle , A. C. M. Correia , J. Laskar

HD 110067 is the brightest star known to have six transiting planets. Each adjacent pair of planets has a period ratio that is nearly equal to a ratio of small integers, suggesting the planets are in a chain of mean-motion resonances, but…

Earth and Planetary Astrophysics · Physics 2024-06-06 Caleb Lammers , Joshua N. Winn
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