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A fundamental aspect of the three-body problem is its stability. Most stability studies have focused on the co-planar three-body problem, deriving analytic criteria for the dynamical stability of such pro/retrograde systems. Numerical…

Earth and Planetary Astrophysics · Physics 2016-12-02 Evgeni Grishin , Hagai B. Perets , Yossef Zenati , Erez Michaely

Aims: We aim to investigate the consequences of a fast massive stellar remnant - a black hole (BH) or a neutron star (NS) - encountering a planetary system. Methods: We modelled a close encounter between the actual Solar System (SS) and a…

Earth and Planetary Astrophysics · Physics 2021-04-14 Václav Pavlík , Steven N. Shore

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

We present two approaches to determine the dynamical stability of a hierarchical triple-star system. The first is an improvement on the Mardling-Aarseth stability formula from 2001, where we introduce a dependence on inner orbital…

Solar and Stellar Astrophysics · Physics 2022-09-14 Pavan Vynatheya , Adrian S. Hamers , Rosemary A. Mardling , Earl P. Bellinger

Centers of galaxies host both a supermassive black hole and a dense stellar cluster. Such an environment should lead to stellar collisions, possibly at very high velocities so that the total energy involved is of the same order as…

Astrophysics of Galaxies · Physics 2023-11-02 Shmuel Balberg , Gilad Yassur

During their main sequence lifetimes, the majority of all Galactic Disc field stars must endure at least one stellar intruder passing within a few hundred AU. Mounting observations of planet-star separations near or beyond this distance…

Earth and Planetary Astrophysics · Physics 2015-06-05 Dimitri Veras , Nickolas Moeckel

We study the stability of systems of three giant planets orbiting 3 - 8 M_Sol stars at orbital distances of >10 au as the host star ages through the Main Sequence (MS) and well into the White Dwarf (WD) stage. Systems are stable on the MS…

Earth and Planetary Astrophysics · Physics 2015-06-17 Alexander Mustill , Dimitri Veras , Eva Villaver

Scattering encounters between binaries and single stars play a central role in determining the dynamical evolution of a star cluster. In addition, three-body scattering can give rise to many interesting exceptional objects: merging can…

Astrophysics · Physics 2009-10-28 Stephen L. W. McMillan , Piet Hut

In galactic centers, stars and binaries can be injected into low-angular-momentum orbits, resulting in close encounters with the central supermassive black hole (SMBH). Previous works have shown that under different conditions, such close…

High Energy Astrophysical Phenomena · Physics 2024-12-20 Fangyuan Yu , Dong Lai

Hot Jupiters, orbiting their host stars at extremely close distances, undergo tidal evolution, with some being engulfed by their stars due to angular momentum exchanges induced by tidal forces. However, achieving double synchronization can…

Earth and Planetary Astrophysics · Physics 2024-03-19 Shuaishuai Guo , Jianheng Guo , Jie Su , Dongdong Yan

We study the occurrence of physical collisions between stars in young and compact star cluster. The calculations are performed on the GRAPE-4 with the starlab software environment which include the dynamical evolution and the nuclear…

The gravitational three-body problem is a fundamental problem in physics and has significant applications to astronomy. Three-body configurations are often considered stable as long the system is hierarchical; that is, the two orbital…

Astrophysics of Galaxies · Physics 2023-07-26 Eric Zhang , Smadar Naoz , Clifford M. Will

About half of all known stellar systems with Sun-like stars consist of two or more stars, significantly affecting the orbital stability of any planet in these systems. This observational evidence has prompted a large array of theoretical…

Astrophysics · Physics 2009-11-13 J. Eberle , M. Cuntz , Z. E. Musielak

The evolution of main sequence binaries resided in the galactic centre is influenced a lot by the central super massive black hole (SMBH). Due to this perturbation, the stars in a dense environment are likely to experience mergers or…

Astrophysics of Galaxies · Physics 2017-02-01 Bin Liu , Yi-Han Wang , Ye-Fei Yuan

It has been argued that heavy binaries composed of neutron stars (NSs) and millisecond pulsars (MSPs) can end up in the outskirts of star clusters via an interaction with a massive black hole (BH) binary expelling them from the core. We…

Astrophysics of Galaxies · Physics 2023-09-26 Nathan W. C. Leigh , Claire S. Ye , Steffani M. Grondin , Giacomo Fragione , Jeremy J. Webb , Craig O. Heinke

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

Stars spend most of their lifetimes on the `main sequence' (MS) in the Hertzsprung--Russell diagram. The obvious double MSs seen in the equivalent color--magnitude diagrams characteristic of Milky Way open clusters pose a fundamental…

Solar and Stellar Astrophysics · Physics 2019-10-09 Weijia Sun , Chengyuan Li , Licai Deng , Richard de Grijs

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

We study the dynamical stability and fates of hierarchical (in semi-major axis) two-planet systems with arbitrary eccentricities and mutual inclinations. We run a large number of long-term numerical integrations and use the Support Vector…

Earth and Planetary Astrophysics · Physics 2015-08-06 Cristobal Petrovich

In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon