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The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three…

Chaotic Dynamics · Physics 2019-04-09 Euaggelos E. Zotos , K. E. Papadakis

We study the orbital evolution of a three planet system with masses in the super-Earth regime resulting from the action of tides on the planets induced by the central star which cause orbital circularization. We consider systems either in…

Earth and Planetary Astrophysics · Physics 2015-06-19 John C. B. Papaloizou

Contact binary star systems represent the long-lived penultimate phase of binary evolution. Population statistics of their physical parameters inform understanding of binary evolutionary pathways and end products. We use light curves and…

Solar and Stellar Astrophysics · Physics 2022-08-31 Henry A. Kobulnicky , Lawrence A. Molnar , Evan M. Cook , Lauren E. Henderson

The three-body problem is famously chaotic, with no closed-form analytical solutions. However, hierarchical systems of three or more bodies can be stable over indefinite timescales. A system is considered hierarchical if the bodies can be…

Solar and Stellar Astrophysics · Physics 2022-11-30 Max Tory , Evgeni Grishin , Ilya Mandel

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

Three-body and four-body interactions have been directly measured in a colloidal system comprised of three (or four) charged colloidal particles. Two of the particles have been confined by means of a scanned laser tweezers to a line-shaped…

Soft Condensed Matter · Physics 2009-11-13 J. Dobnikar , M. Brunner , Jörg Baumgartl , H. H. von Grünberg , C. Bechinger

We develop the foundations of an effective-one-body (EOB) model for eccentric binary coalescences that includes the conservative dynamics, radiation reaction, and gravitational waveform modes from the inspiral and the merger-ringdown…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Tanja Hinderer , Stanislav Babak

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Buonanno , T. Damour

The probability of the detection of Earth-like exoplanets may increase in the near future after the launch of the space missions using the transit photometry as observation method. By using this technique only the semi-major axis of the…

Astrophysics · Physics 2009-11-11 Zsolt Sandor

We develop a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular, while the outer one is eccentric. We consider coplanar systems with well separated components and…

Earth and Planetary Astrophysics · Physics 2014-08-27 Nikolaos Georgakarakos

We derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

In this paper, we report the evidence for a planetary mass body orbiting the close binary star KIC 5095269. This detection arose from a search for eclipse timing variations among the more than 2,000 eclipsing binaries observed by Kepler.…

Earth and Planetary Astrophysics · Physics 2017-05-03 A. K. Getley , B. Carter , R. King , S. O'Toole

The stellar ejection rate and the rates of change of the binary semimajor axis and eccentricity are derived from scattering experiments for the restricted three-body problem. They are used to study the evolution of binaries in simple models…

Astrophysics · Physics 2011-08-09 Gerald D. Quinlan

I derive the physical properties of 30 transiting extrasolar planetary systems using a homogeneous analysis of published data. The light curves are modelled with the JKTEBOP code, with attention paid to limb darkening and eccentricity. The…

Earth and Planetary Astrophysics · Physics 2015-05-19 John Southworth

The focus of this work is the current distribution of asteroids in co-orbital motion with Venus, Earth and Jupiter, under a quasi-coplanar configuration and for a medium-term timescale of the order of 900 years. A co-orbital trajectory is a…

Earth and Planetary Astrophysics · Physics 2022-11-16 Sara Di Ruzza , Alexandre Pousse , Elisa Maria Alessi

Roughly half of Solar-type planet hosts have stellar companions, so understanding how these binary companions affect the formation and evolution of planets is an important component to understanding planetary systems overall. Measuring the…

Three-body interactions are expected to be common in globular clusters and in galactic cores hosting supermassive black holes. Here we consider an equal-mass binary-black-hole system in the presence of a third black hole. Using numerically…

Astrophysics · Physics 2009-11-13 Manuela Campanelli , Miranda Dettwyler , Mark Hannam , Carlos O. Lousto

The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body…

Nuclear Theory · Physics 2017-05-24 E. Ydrefors , J. H. Alvarenga Nogueira , V. Gigante , T. Frederico , V. A. Karmanov

Triple stars and compact objects are ubiquitously observed in nature. Their long-term evolution is complex; in particular, the von-Zeipel-Lidov-Kozai (ZLK) mechanism can potentially lead to highly eccentric encounters of the inner binary.…

Earth and Planetary Astrophysics · Physics 2022-08-03 Abhi Mangipudi , Evgeni Grishin , Alessandro A. Trani , Ilya Mandel

In this paper, we present a new ansatz for solving equations of motion for the trapped orbits of the infinitesimal mass (satellite), which is locked in the space trap to be moving near the planet in case of the elliptic restricted problem…

General Physics · Physics 2021-04-19 Sergey Ershkov , Alla Rachinskaya
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