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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

We developed and provide AnalyticLC, a novel analytic method and code implementation for dynamical modeling of planetary systems, including non-coplanar interactions, based on a disturbing function expansion to fourth order in…

Earth and Planetary Astrophysics · Physics 2022-02-02 Yair Judkovsky , Aviv Ofir , Oded Aharonson

We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 system with the best-fit orbital solutions by Lovis and coworkers (2006). In the simulations, we show that the triplet Neptunian…

Astrophysics · Physics 2008-11-26 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

Finite eccentricities in mass-transferring eccentric binary systems can be explained by taking into account mass-loss and mass-transfer processes that often occur in these systems. These processes can be treated as perturbations to the…

Solar and Stellar Astrophysics · Physics 2016-07-06 Fani Dosopoulou , Vicky Kalogera

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

Based on a simple geometrical approach, we analyze the evolution of the Kozai-Lidov mechanism for stars around shrinking massive black hole binaries on circular orbits. We find that, due to a peculiar bifurcation pattern induced by the…

Astrophysics of Galaxies · Physics 2016-06-15 Mao Iwasa , Naoki Seto

We study a series of $N-$body simulations representing elliptical galaxies with central masses. Starting from two different systems with smooth centres, which have initially a triaxial configuration and are in equilibrium, we insert to them…

Astrophysics · Physics 2009-11-13 Constantinos Kalapotharakos

The LIGO/Virgo detections of compact object mergers have posed a challenge for theories of binary evolution and coalescence. One promising avenue for producing mergers dynamically is through secular eccentricity oscillations driven by an…

Astrophysics of Galaxies · Physics 2023-12-06 Chris Hamilton , Roman R. Rafikov

We study the chaotic and secular evolution of hierarchical quadruple systems in the $3+1$ configuration, focusing on the evolution of mutual inclination of the inner binaries as the system undergoes coupled Lidov-Kozai (LK) oscillations. We…

Earth and Planetary Astrophysics · Physics 2017-12-27 Evgeni Grishin , Dong Lai , Hagai B. Perets

We study the Kozai-Lidov mechanism in a hierarchical triple system in detail by the direct integration of the first-order post Newtonian equations of motion. We analyse a variety of models with a pulsar to evaluate the cumulative shift of…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Haruka Suzuki , Priti Gupta , Hirotada Okawa , Kei-ichi Maeda

We examine the evolution of an almost circular Keplerian orbit interacting with unbound perturbers. We calculate the change in eccentricity and angular momentum that results from a single encounter, assuming the timescale for the…

Astrophysics · Physics 2009-11-13 Benjamin F. Collins , Re'em Sari

The hierarchical three-body problem has many applications in relativistic astrophysics, and can play an important role in the formation of the binary black hole mergers detected by LIGO/Virgo. However, many studies have only included…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Halston Lim , Carl L. Rodriguez

We explore the effects of long term secular perturbations on the distribution of dark matter particles around Supermassive Black Hole (BH) binaries. We show that in the hierarchical (in separation) three-body problem, one of the BHs and a…

Astrophysics of Galaxies · Physics 2015-06-22 Smadar Naoz , Joseph Silk

We study the steady-state orbital distributions of giant planets migrating through the combination of the Kozai-Lidov (KL) mechanism due to a stellar companion and friction due to tides raised on the planet by the host star. We run a large…

Earth and Planetary Astrophysics · Physics 2015-01-15 Cristobal Petrovich

With hydrodynamical simulations we examine the evolution of a highly misaligned circumbinary disc around a black hole binary including the effects of general relativity. We show that a disc mass of just a few percent of the binary mass can…

High Energy Astrophysical Phenomena · Physics 2023-11-20 Rebecca G. Martin , Stephen Lepp , Bing Zhang , C. J. Nixon , Anna C. Childs

Two semi-analytical one-degree-of-freedom secular models are presented for the motion of small bodies beyond Neptune. A special attention is given to trajectories entirely exterior to the planetary orbits. The first one is the well-known…

Earth and Planetary Astrophysics · Physics 2016-11-15 Melaine Saillenfest , Marc Fouchard , Giacomo Tommei , Giovanni B. Valsecchi

We derive analytical expressions for the change in the orbital eccentricity of a binary following a distant encounter with a third star on a hyperbolic or parabolic orbit. To establish the accuracy of these expressions, we present detailed…

Astrophysics · Physics 2015-06-24 Douglas C. Heggie , Frederic A. Rasio

We establish the three-dimensional architecture of the Kepler-419 (previously KOI-1474) system to be eccentric yet with a low mutual inclination. Kepler-419b is a warm Jupiter at semi-major axis a = 0.370 +0.007/-0.006 AU with a large…

This paper studies the long term evolution of planetary systems containing short-period planets, including the effects of tidal circularization, secular excitation of eccentricity by companion planets, and stellar damping. For planetary…

Astrophysics · Physics 2008-11-26 Fred C. Adams , Gregory Laughlin

Observations of exoplanets over the last two decades have revealed a new class of Jupiter-size planets with orbital periods of a few days, the so-called "hot Jupiters". Recent measurements using the Rossiter-McLaughlin effect have shown…

Earth and Planetary Astrophysics · Physics 2015-06-17 Jean Teyssandier , Smadar Naoz , Ian M. Lizarraga , Frederic A. Rasio
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