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We present 230 realizations of a numerical model of planet formation in systems without gas giants. These represent a scenario in which protoplanets grow in a region of a circumstellar disk where water ice condenses (the "ice line''), but…

Earth and Planetary Astrophysics · Physics 2015-05-19 Andrew W. Mann , Eric Gaidos , B. Scott Gaudi

The discovery of planets in close orbits around binary stars raises questions about their formation. It is believed that these planets formed in the outer regions of the disc and then migrated through planet-disc interaction to their…

Earth and Planetary Astrophysics · Physics 2018-08-17 Daniel Thun , Wilhelm Kley

We calculate and analyze the distribution of period ratios observed in systems of Kepler exoplanet candidates including studies of both adjacent planet pairs and all planet pairs. These distributions account for both the geometrical bias…

Earth and Planetary Astrophysics · Physics 2015-06-22 Jason H. Steffen , Jason A. Hwang

This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes…

Astrophysics · Physics 2007-05-23 S. Ferraz-Mello , T. A. Michtchenko , C. Beauge

The nearly circular (mean eccentricity <e>~0.06) and coplanar (mean mutual inclination <i>~3 deg) orbits of the Solar System planets motivated Kant and Laplace to put forth the hypothesis that planets are formed in disks, which has…

We present a catalog (status July 1, 2022) of triple and higher order systems identified containing exoplanets based on data from the literature, including various analyses. We explore statistical properties of the systems with focus on…

Solar and Stellar Astrophysics · Physics 2022-12-14 M. Cuntz , G. E. Luke , M. J. Millard , L. Boyle , S. D. Patel

We develop an idealized dynamical model to predict the typical properties of outer extrasolar planetary systems, at radii beyond 5 AU. Our hypothesis is that dynamical evolution in outer planetary systems is controlled by a combination of…

Earth and Planetary Astrophysics · Physics 2015-05-18 Sean N. Raymond , Philip J. Armitage , Noel Gorelick

We investigate the migration of massive extrasolar planets due to gravitational interaction with a viscous protoplanetary disc. We show that a model in which planets form at 5 AU at a constant rate, before migrating, leads to a predicted…

Astrophysics · Physics 2009-11-07 Philip J. Armitage , Mario Livio , S. H. Lubow , J. E. Pringle

We use numerical $N$-body experiments to explore the statistics of multiple systems formed in small-$N$ subclusters, i.e. the distributions of orbital semi-major axis, $a$, orbital eccentricity, $e$, mass ratio, $q$, mutual orbital…

Astrophysics of Galaxies · Physics 2025-07-28 Hannah Ambrose , Anthony Whitworth

Transiting circumbinary planets discovered by Kepler provide unique insight into binary star and planet formation. Several features of this new found population, for example the apparent pile-up of planets near the innermost stable orbit,…

Earth and Planetary Astrophysics · Physics 2016-06-15 Rachel A. Smullen , Kaitlin M. Kratter , Andrew Shannon

We examine the formation of planets around binary stars in light of the recently discovered systems Kepler 16, 34 and 35. We conduct hydrodynamical simulations of self gravitating disks around binary systems. The selected binary and disk…

Earth and Planetary Astrophysics · Physics 2015-06-11 F. I. Pelupessy , S. Portegies Zwart

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

We present here the first observationally based determination of the rate of occurrence of circumbinary planets. This is derived from the publicly available Kepler data, using an automated search algorithm and debiasing process to produce…

Earth and Planetary Astrophysics · Physics 2015-06-19 D. J. Armstrong , H. Osborn , D. Brown , F. Faedi , Y. Gómez Maqueo Chew , D. Martin , D. Pollacco , S. Udry

Surveys have revealed many multi-planet systems containing super-Earths and Neptunes in orbits of a few days to a few months. There is debate whether in situ assembly or inward migration is the dominant mechanism of the formation of such…

Earth and Planetary Astrophysics · Physics 2016-12-23 Sean M. Mills , Daniel C. Fabrycky , Cezary Migaszewski , Eric B. Ford , Erik Petigura , Howard Isaacson

Aims. We study a subset of the planetary population characterized both by HARPS and Kepler surveys. We compare the statistical properties of planets in systems with m.sin i >5-10 M_Earth and R>2 R_Earth. If we assume that the underlying…

Earth and Planetary Astrophysics · Physics 2015-06-04 P. Figueira , M. Marmier , G. Boué , C. Lovis , N. C. Santos , M. Montalto , S. Udry , F. Pepe , M. Mayor

Studying the relative orientations of the orbits of exoplanets and wide-orbiting binary companions (semimajor axis greater than 100 AU) can shed light on how planets form and evolve in binary systems. Previous observations by multiple…

We present a statistical study of the post-formation migration of giant planets in a range of initial disk conditions. For given initial conditions we model the evolution of giant planet orbits under the influence of disk, stellar, and mass…

Astrophysics · Physics 2009-11-07 David E. Trilling , Jonathan I. Lunine , Willy Benz

(Abridged) The solar system gas giant planets are oblate due to their rapid rotation. A measurement of the planet's projected oblateness would constrain the planet's rotational period. Planets that are synchronously rotating with their…

Astrophysics · Physics 2009-11-07 S. Seager , Lam Hui

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are…

Earth and Planetary Astrophysics · Physics 2015-06-24 Nikolaos Georgakarakos , Siegfried Eggl