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Related papers: Modeling the secular evolution of migrating planet…

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We develop a simplified model for studying the long-term evolution of giant planets in protoplanetary discs. The model accounts for the eccentricity evolution of the planets and the dynamics of eccentric discs under the influences of…

Earth and Planetary Astrophysics · Physics 2019-11-06 Jean Teyssandier , Dong Lai

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

It is debated whether close-in giant planets can form in-situ and if not, which mechanisms are responsible for their migration. One of the observable tests for migration theories is the current value of the angle between the stellar…

Earth and Planetary Astrophysics · Physics 2018-10-17 Cilia Damiani , Stéphane Mathis

Mass transfer (MT) is a fundamental process in stellar evolution. While MT in circular orbits is well studied, observations indicate that it also occurs in eccentric ones, where theoretical models are limited. We present a new semi-analytic…

Solar and Stellar Astrophysics · Physics 2026-02-04 A. Parkosidis , S. Toonen , F. Dosopoulou , E. Laplace

Over the last two decades, a large population of close-in planets has been detected around a wide variety of host stars. Such exoplanets are likely to undergo planetary migration through magnetic and tidal interactions. We aim to follow the…

Earth and Planetary Astrophysics · Physics 2021-06-23 Jérémy Ahuir , Antoine Strugarek , Allan-Sacha Brun , Stéphane Mathis

We consider the dynamical evolution of two planets orbiting in the vicinity of a first order mean motion reso- nance while simultaneously undergoing eccentricity damping and convergent migration. Following Goldreich & Schlichting (2014), we…

Earth and Planetary Astrophysics · Physics 2015-09-23 Katherine M. Deck , Konstantin Batygin

We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand the disturbing function in terms of…

Earth and Planetary Astrophysics · Physics 2017-11-08 Eduardo Andrade-Ines , Philippe Robutel

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

We explore the dynamical evolution of a planet embedded in a disk surrounding a star part of a binary system where the orbital plane of the binary is significantly tilted respect to the initial disk plane. Our aim is to test whether the…

Earth and Planetary Astrophysics · Physics 2015-11-11 Giovanni Picogna , Francesco Marzari

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, allowing for both mass and angular momentum loss from the system. Adopting a delta function mass transfer rate…

Solar and Stellar Astrophysics · Physics 2009-09-28 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

The significant orbital eccentricities of most giant extrasolar planets may have their origin in the gravitational dynamics of initially unstable multiple planet systems. In this work, we explore the dynamics of two close planets on…

Astrophysics · Physics 2009-11-10 Dimitri Veras , Philip J. Armitage

We study the secular evolution of a particle in deep mean motion resonance (MMR) with a planet in the planar elliptic restricted three body problem. We do not consider any restriction neither in the planet's eccentricity $e_p$ nor in the…

Earth and Planetary Astrophysics · Physics 2022-02-08 Juan Pons , Tabaré Gallardo

We present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

Earth and Planetary Astrophysics · Physics 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

Recent studies on the planet-dominated regime of Type II migration showed that, contrary to the conventional wisdom, massive planets can migrate outwards. Using `fixed-planet' simulations these studies found a correlation between the sign…

Earth and Planetary Astrophysics · Physics 2022-06-29 C. E. Scardoni , C. J. Clarke , G. P. Rosotti , R. A. Booth , R. D. Alexander , E. Ragusa

Observations reveal that mass-transferring binary systems may have non-zero orbital eccentricities. The time-evolution of the orbital semi-major axis and eccentricity of mass-transferring eccentric binary systems is an important part of…

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

We study orbital inclination changes associated with the precession of a disc-planet system that occurs through gravitational interaction with a binary companion on an inclined orbit. We investigate whether this scenario can account for…

Earth and Planetary Astrophysics · Physics 2014-02-14 M. Xiang-Gruess , J. C. B. Papaloizou

This paper considers whether the population of known transiting exoplanets provides evidence for additional outer planets on inclined orbits, due to the perturbing effect of such planets on the orbits of inner planets. As such, we develop a…

Earth and Planetary Astrophysics · Physics 2017-05-31 Matthew J. Read , Mark C. Wyatt , Amaury H. M. J. Triaud

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

The non-resonant secular dynamics of compact planetary systems are modeled by a perturbing function which is usually expanded in eccentricity and absolute inclination with respect to the invariant plane. Here, the expressions are given in a…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

We consider a two-planet system, which migrates under the influence of dissipative forces that mimic the effects of gas-driven (Type II) migration. It has been shown that, in the planar case, migration leads to resonant capture after an…

Earth and Planetary Astrophysics · Physics 2017-02-10 G. Voyatzis , K. I. Antoniadou , K. Tsiganis