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This paper reviews the rich corpus of observational evidence for tidal effects in short-period binaries. We review the evidence for ellipsoidal variability and for the observational manifestation of apsidal motion in eclipsing binaries.…

Astrophysics · Physics 2009-11-13 Tsevi Mazeh

We study the phase space of eccentric coplanar co-orbitals in the non-restricted case. Departing from the quasi-circular case, we describe the evolution of the phase space as the eccentricities increase. We find that over a given value of…

Earth and Planetary Astrophysics · Physics 2018-03-14 A. Leleu , P. Robutel , A. C. M. Correia

A test particle in a noncoplanar orbit about a member of a binary system can undergo Kozai-Lidov oscillations in which tilt and eccentricity are exchanged. An initially circular highly inclined particle orbit can reach high eccentricity. We…

Solar and Stellar Astrophysics · Physics 2021-08-04 Stephen H. Lubow

Multiple systems play an important role in the evolution of star clusters. First we discuss several formation mechanisms which depend on the presence of binaries, either primordial or of dynamical origin. Hierarchical configurations are…

Astrophysics · Physics 2007-05-23 Sverre J. Aarseth , Rosemary A. Mardling

We have compiled a sample of 16 orbits for very low-mass stellar (<0.1 Msun) and brown dwarf binaries, enabling the first comprehensive study of the eccentricity distribution for such objects. We find that very low-mass binaries span a…

Solar and Stellar Astrophysics · Physics 2015-05-27 Trent J. Dupuy , Michael C. Liu

Compact multi-planet systems containing super-Earths or sub-Neptunes, commonly found around solar-type stars, may be surrounded by external giant planet or stellar companions, which can shape the architechture and observability of the inner…

Earth and Planetary Astrophysics · Physics 2021-03-23 Bonan Pu , Dong Lai

We use numerical $N$-body experiments to explore the statistics of multiple systems formed in small-$N$ subclusters, i.e. the distributions of orbital semi-major axis, $a$, orbital eccentricity, $e$, mass ratio, $q$, mutual orbital…

Astrophysics of Galaxies · Physics 2025-07-28 Hannah Ambrose , Anthony Whitworth

Rotation contributes to internal mixing processes and observed variability in massive stars. A significant number of binary stars are not in strict synchronous rotation, including all eccentric systems. This leads to a tidally induced and…

Solar and Stellar Astrophysics · Physics 2021-09-29 Gloria Koenigsberger , Edmundo Moreno , Norbert Langer

Observations of exoplanets have revealed that systems with planets on closely-spaced orbits are common, which motivates the question "How closely can planets orbit to one another and still be dynamically-stable for very long times?". To…

Earth and Planetary Astrophysics · Physics 2020-07-28 Pierre Gratia , Jack J. Lissauer

We analyze the long-term tidal evolution of a single-planet system through the use of numerical simulations and averaged equations giving the variations of semi-major axis and eccentricity of the relative orbit. For different types of…

Earth and Planetary Astrophysics · Physics 2015-05-13 Adrian Rodriguez , Sylvio Ferraz-Mello

We study the spin and eccentricity evolution of black-hole (BH) binaries that are perturbed by tertiary masses and experience the Lidov-Kozai (LK) excitation. We focus on three aspects. Firstly, we study the spin-orbit alignment of the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Hang Yu , Sizheng Ma , Matthew Giesler , Yanbei Chen

The predicted orbital-period distribution of the subdwarf-B (sdB) population is bi-modal with a peak at short (< 10 days) and long (> 500 days) periods. Observationally, many short-period sdB systems are known, but only few wide sdB…

Solar and Stellar Astrophysics · Physics 2017-09-20 Joris Vos , Roy H. Østensen , Maja Vuckovic , Hans Van Winckel

Kozai-Lidov oscillations of Jupiter-mass planets, excited by comparable planetary or brown dwarf mass perturbers were recently shown in numerical experiments to be slowly modulated and to exhibit striking features, including extremely high…

Earth and Planetary Astrophysics · Physics 2015-05-28 Boaz Katz , Subo Dong , Renu Malhotra

We present an extended version of the Constant Time Lag analytical approach for the tidal evolution of circumbinary planets introduced in our previous work. The model is self-consistent, in the sense that all tidal interactions between…

Earth and Planetary Astrophysics · Physics 2020-01-29 F. A. Zoppetti , A. M. Leiva , C. Beaugé

Context. The presence of a stellar companion can strongly influence the architecture and long-term stability of planetary systems. Motivated by the discovery of exoplanets exhibiting extremely high eccentricities (e >= 0.8) in systems with…

Earth and Planetary Astrophysics · Physics 2026-02-11 Milenne Ávila-Bravo , Carolina Charalambous , Claudia Aguilera-Gómez

Orbits of known extrasolar planets that are located outside the tidal circularization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting…

Astrophysics · Physics 2009-11-07 E. I. Chiang , D. Fischer , E. Thommes

The majority of extrasolar planets discovered to date have significantly eccentric orbits, some if not all of which may have been produced through planetary migration. During this process, any planets interior to such an orbit would…

Earth and Planetary Astrophysics · Physics 2009-12-11 Gareth F. Kennedy , Rosemary A. Mardling

Planets around binary stars and those in multiplanet systems may experience resonant eccentricity excitation and disruption due to perturbations from a distant stellar companion. This "evection resonance" occurs when the apsidal precession…

Earth and Planetary Astrophysics · Physics 2016-04-27 Wenrui Xu , Dong Lai

Detecting imprints of orbital eccentricity in GW signals promises to shed light on the formation mechanisms of binary black holes. To constrain formation mechanisms, distributions of eccentricity derived from numerical simulations of…

High Energy Astrophysical Phenomena · Physics 2025-02-05 Aditya Vijaykumar , Alexandra G. Hanselman , Michael Zevin

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel