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We analyze the dynamical evolution of binary stars that interact with a static background of single stars in the environment of a massive black hole (MBH). All stars are considered to be single mass, Newtonian point particles. We follow the…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-03 Clovis Hopman

It is known, that possibility to capture on a satellite orbit is decreased with primary orbital eccentricity increasing. It means, that satellites of planet on eccentric orbit are less stable. We study problem by analytical and numeric…

Earth and Planetary Astrophysics · Physics 2013-04-26 Alexey Rosaev

It is well established that certain detached eclipsing binary stars exhibit apsidal motions whose value is in disagreement with with calculated deviations from Keplerian motion based on tidal effects and the general theory of relativity.…

Astrophysics · Physics 2009-11-07 S. A. Khodykin , A. I. Zakharov , W. L. Andersen

We propose a closed-form (i.e. without expansion in the orbital eccentricities) scheme for computations in perturbation theory in the restricted three-body problem (R3BP) when the massless particle is in an orbit exterior to the one of the…

Mathematical Physics · Physics 2023-07-26 Mattia Rossi , Christos Efthymiopoulos

Binary and multiple star systems are extreme environments for the formation and long-term presence of extrasolar planets. Circumstellar planets are subject to gravitational perturbations from the distant companion star, and this interaction…

Earth and Planetary Astrophysics · Physics 2019-08-06 Ákos Bazsó , Elke Pilat-Lohinger

We study the low-energy corrections to the holographic entanglement entropy (HEE) in the boundary CFT by perturbing the bulk geometry up to second order excitations. Focusing on the case that the boundary subsystem is a strip, we show that…

High Energy Physics - Theory · Physics 2018-01-30 Song He , Jia-Rui Sun , Hai-Qing Zhang

Binary formation in clusters through triple encounters between three unbound stars, 'three-body' binary formation, is one of the main dynamical formation processes of binary systems in dense environments. In this paper, we use an analytical…

Astrophysics of Galaxies · Physics 2025-11-18 Yonadav Barry Ginat , Hagai B. Perets

We develop a method to compute low-eccentricity initial data of binary neutron stars required to perform realistic simulations in numerical relativity. The orbital eccentricity is controlled by adjusting the orbital angular velocity of a…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

A unified framework is proposed to quantitatively characterize pitchfork bifurcations and associated symmetry breaking in the elliptic restricted three-body problem (ERTBP). It is known that planar/vertical Lyapunov orbits and Lissajous…

Dynamical Systems · Mathematics 2025-06-06 Haozhe Shu , Mingpei Lin

In a previous work (Pichardo et al. 2005), we studied stable configurations for circumstellar discs in eccentric binary systems. We searched for "invariant loops": closed curves (analogous to stable periodic orbits in time-independent…

Astrophysics · Physics 2009-11-13 Barbara Pichardo , Linda S. Sparke , Luis A. Aguilar

We have carried out 200,000 N-body simulations of three identical stellar embryos with masses from a Chabrier IMF and embedded in a molecular core. The bodies are initially non-hierarchical and undergo chaotic motions, while accreting using…

Solar and Stellar Astrophysics · Physics 2015-06-23 Bo Reipurth , Seppo Mikkola

In this study, we begin by revisiting the oscillatory behavior of radiative quantities-energy, angular momentum, and linear momentum-linked with initial eccentricities in binary black hole (BBH) mergers. By varying the mean anomaly $l_0$…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Hao Wang , Yuan Chuan Zou , Qing Wen Wu

The formation of close binaries has been an open question for decades. A large fraction of close binaries are in triple systems, suggesting that their formation may be associated with the Kozai-Lidov mechanism. However, this picture remains…

Solar and Stellar Astrophysics · Physics 2022-11-09 Hsiang-Chih Hwang

Nonrestricted hierarchical three-body configurations are common in various scales of astrophysical systems. Dynamical structures of the quadrupole-order resonance (the von Zeipel-Lidov-Kozai resonance) and the octupole-order resonance (the…

Earth and Planetary Astrophysics · Physics 2022-07-27 Hanlun Lei , Xiumin Huang

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

The presence of a stellar companion can place constraints on occurrence and orbital evolution of satellites orbiting exoplanets, i.e., exomoons. In this work we revise earlier orbital stability limits for retrograde orbits in the case of a…

Earth and Planetary Astrophysics · Physics 2021-07-16 Billy Quarles , Siegfried Eggl , Marialis Rosario-Franco , Gongjie Li

This study examines the dynamics of the third body in an elliptic restricted three-body problem (ERTBP) framework, taking into account perturbations from radiation pressure, oblateness, and elongation of the primary bodies, as well as…

Earth and Planetary Astrophysics · Physics 2026-01-21 M. B. Saputra , H. S. Ramadhan , Ibnu N. Huda , Leonardus B. Putra

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of…

Nuclear Theory · Physics 2009-11-13 Lucas Platter

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, assuming conservation of total system mass and orbital angular momentum. Assuming a delta function mass…

Astrophysics · Physics 2009-11-13 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

In the framework of multi-body dynamics, successive encounters with a third body, even if well outside of its sphere of influence, can noticeably alter the trajectory of a spacecraft. Examples of these effects have already been exploited by…

Space Physics · Physics 2017-09-14 J. P. Sanchez , C. Colombo , E. M. Alessi