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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…

This paper considers secular interactions within multi-planet systems. In particular we consider dynamical evolution of known planetary systems resulting from an additional hypothetical planet on an eccentric orbit. We start with an…

Earth and Planetary Astrophysics · Physics 2016-01-27 Matthew J. Read , Mark C. Wyatt

The transits of a planet on a Keplerian orbit occur at time intervals exactly equal to the period of the orbit. If a second planet is introduced the orbit is not Keplerian and the transits are no longer exactly periodic. We compute the…

Astrophysics · Physics 2009-11-10 E. Agol , J. Steffen , R. Sari , W. Clarkson

Models are developed to simulate lightcurves of stars dimmed by transiting exoplanets with and without rings. These models are then applied to \textit{Kepler} photometry to search for planetary rings in a sample of 21 exoplanets, mostly hot…

Earth and Planetary Astrophysics · Physics 2015-11-17 Matthew Z. Heising , Geoffrey W. Marcy , Hilke E. Schlichting

We investigate in this paper the astrophysical false-positive configuration in exoplanet-transit surveys that involves eclipsing binaries and giant planets which present only a secondary eclipse, as seen from the Earth. To test how an…

Earth and Planetary Astrophysics · Physics 2013-08-20 A. Santerne , F. Fressin , R. F. Díaz , P. Figueira , J. -M. Almenara , N. C. Santos

We investigate the general interaction between an eccentric planet and a coplanar debris disc of the same mass, using analytical theory and n-body simulations. Such an interaction could result from a planet-planet scattering or merging…

Earth and Planetary Astrophysics · Physics 2015-09-23 Tim Pearce , Mark Wyatt

We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect…

Earth and Planetary Astrophysics · Physics 2021-12-15 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

The known extrasolar planets exhibit many interesting and surprising features--extremely short-period orbits, high-eccentricity orbits, mean-motion and secular resonances, etc.--and have dramatically expanded our appreciation of the…

Astrophysics · Physics 2009-11-10 Scott Tremaine , Nadia L. Zakamska

Among the hundred or so extrasolar planets discovered to date, 19 are orbiting a component of a double or multiple star system. In this paper, we discuss the properties of these planets and compare them to the characteristics of planets…

Astrophysics · Physics 2009-11-10 A. Eggenberger , S. Udry , M. Mayor

Strong tidal interaction with the central star can circularize the orbits of close-in planets. With the standard tidal quality factor Q of our solar system, estimated circularization times for close-in extrasolar planets are typically…

Astrophysics · Physics 2009-11-13 Soko Matsumura , Genya Takeda , Fred Rasio

Instabilities and strong dynamical interactions between multiple giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities seem…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Frederic A. Rasio , Kenneth Yu

All circumbinary planets currently detected are in orbits that are almost coplanar to the binary orbit. While misaligned circumbinary planets are more difficult to detect, observations of polar aligned circumbinary gas and debris disks…

Earth and Planetary Astrophysics · Physics 2021-10-13 Anna Childs , Rebecca Martin

It is shown herein that planets with eccentric orbits are more likely to transit than circularly orbiting planets with the same semimajor axis by a factor of (1-e^2)^{-1}. If the orbital parameters of discovered transiting planets are…

Astrophysics · Physics 2009-11-13 Jason W. Barnes

The orbit eccentricities of the Solar System planets are unusually low compared to the average of known exoplanetary systems. A power law correlation has previously been found between the multiplicity of a planetary system and the orbital…

Earth and Planetary Astrophysics · Physics 2020-11-11 Nanna Bach-Møller , Uffe Gråe Jørgensen

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

The Kepler Mission has detected dozens of compact planetary systems with more than four transiting planets. This sample provides a collection of close-packed planetary systems with relatively little spread in the inclination angles of the…

Earth and Planetary Astrophysics · Physics 2015-12-02 Juliette C. Becker , Fred C. Adams

Exoplanet occurrence rates facilitate comparisons between observations of planets and theoretical models of planet formation. Despite their deductive power, exoplanet occurrence rates for half the stars in the sky are missing because…

Earth and Planetary Astrophysics · Physics 2025-11-05 Kendall Sullivan , Anne Dattilo , Natalie M. Batalha

When studying transiting exoplanets it is common to assume a spherical planet shape. However short rotational periods can cause a planet to bulge at its equator, as is the case with Saturn whose equatorial radius is almost 10% larger than…

Earth and Planetary Astrophysics · Physics 2022-08-31 David Berardo , Julien DeWit

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

Observations of exoplanets have revealed that systems with planets on closely-spaced orbits are common, which motivates the question "How closely can planets orbit to one another and still be dynamically-stable for very long times?". To…

Earth and Planetary Astrophysics · Physics 2020-07-28 Pierre Gratia , Jack J. Lissauer