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The majority of the discovered transiting circumbinary planets are located very near the innermost stable orbits permitted, raising questions about the origins of planets in such perturbed environments. Most favored formation scenarios…

Earth and Planetary Astrophysics · Physics 2019-06-12 Adam P. Sutherland , Kaitlin M. Kratter

Divergent migration of planets within a viscous circumstellar disk can engender resonance crossings and dramatic excitation of orbital eccentricities. We provide quantitative criteria for the viability of this mechanism. For the orbits of…

Astrophysics · Physics 2009-11-07 E. I. Chiang

The inner two planets around the 55 Cancri were found to be trapped in the 3:1 mean motion resonance. In this paper, we study the dynamics of this extra-solar planetary system. Our numerical investigation confirms the existence of the 3:1…

Astrophysics · Physics 2009-11-10 Li-Yong Zhou , Harry J. Lehto , Yi-Sui Sun , Jia-Qing Zheng

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 have applied a powerful numerical approach to compute, with a high resolution, the structure of dusty circumstellar disks with embedded planets. We emphasize some testable implications of our simulations which would verify the presence…

Astrophysics · Physics 2007-05-23 Nick N. Gorkavyi , Leonid M. Ozernoy , John C. Mather , Sara R. Heap

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

In this work we pose the possibility that, at an early stage, the migration of a proto--giant planet caused by the presence of a gaseous circumstellar disk could explain the continuous feeding of small bodies into its orbit. Particularly,…

Earth and Planetary Astrophysics · Physics 2023-01-13 Pablo Lemos , Tabaré Gallardo

This paper focuses on two-planet systems in a first-order $(q+1):q$ mean motion resonance and undergoing type-I migration in a disc. We present a detailed analysis of the resonance valid for any value of $q$. Expressions for the equilibrium…

Earth and Planetary Astrophysics · Physics 2018-10-17 Caroline Terquem , John Papaloizou

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

Assuming that giant planets are formed in thin protoplanetary discs, a '3D' system can form, provided that the mutual inclination is excited by some dynamical mechanism. Resonant interactions and close planetary encounters are thought to be…

Earth and Planetary Astrophysics · Physics 2015-06-04 A. -S. Libert , K. Tsiganis

In this work, we investigate configuration formation of two inner terrestrial planets near mean motion resonance (MMRs) induced by the perturbation of a distant gas-giant for the Kepler-68 system, by conducting thousands of numerical…

Earth and Planetary Astrophysics · Physics 2021-12-10 Mengrui Pan , Su Wang , Jianghui Ji

We extend the core-accretion model of giant gaseous planets by Pollack et al. (\cite{P96}) to include migration, disc evolution and gap formation. Starting with a core of a fraction of an Earth's mass located at 8 AU, we end our simulation…

Astrophysics · Physics 2009-11-10 Y. Alibert , C. Mordasini , W. Benz

Precise radial-velocity measurements with the HARPS spectrograph reveal the presence of two planets orbiting the solar-type star HD45364. The companion masses are 0.187 Mjup and 0.658 Mjup, with semi-major axes of 0.681 AU and 0.897 AU, and…

Earth and Planetary Astrophysics · Physics 2009-02-04 A. C. M. Correia , S. Udry , M. Mayor , W. Benz , J. -L. Bertaux , F. Bouchy , J. Laskar , C. Lovis , C. Mordasini , F. Pepe , D. Queloz

We study the evolution of two planets around a star, in mean-motion resonance and undergoing tidal effect. We derive an integrable analytical model of mean-motion resonances of any order which reproduce the main features of the resonant…

Earth and Planetary Astrophysics · Physics 2014-07-02 J. -B. Delisle , J. Laskar , A. C. M. Correia

Planets around binary stars and those in multiplanet systems may experience resonant eccentricity excitation and disruption due to perturbations from a distant stellar companion. This "evection resonance" occurs when the apsidal precession…

Earth and Planetary Astrophysics · Physics 2016-04-27 Wenrui Xu , Dong Lai

We investigate the origins of Kepler-419, a peculiar system hosting two nearly coplanar and highly eccentric gas giants with apsidal orientations librating around anti-alignment, and use this system to place constraints on the properties of…

Earth and Planetary Astrophysics · Physics 2020-10-14 Mohamad Ali-Dib , Cristobal Petrovich

The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational radiation.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carmen Chicone , Bahram Mashhoon , David Retzloff

We present six years of new radial-velocity data from the Anglo-Australian and Magellan Telescopes on the HD 73526 2:1 resonant planetary system. We investigate both Keplerian and dynamical (interacting) fits to these data, yielding four…

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , Alessandro Morbidelli

Planets close to their stars are thought to form farther out and migrate inward due to angular momentum exchange with gaseous protoplanetary disks. This process can produce systems of planets in co-orbital (Trojan or 1:1) resonance, in…

Earth and Planetary Astrophysics · Physics 2015-06-19 Arnaud Pierens , Sean Raymond