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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

We present a stability analysis of a large set of simulated planetary systems of three or more planets based on architectures of multiplanet systems discovered by \textit{Kepler} and \textit{K2}. We propagated 21,400 simulated planetary…

Earth and Planetary Astrophysics · Physics 2024-04-11 Kathryn Volk , Renu Malhotra

Stability is one of the most fundamental aspects regarding planetary systems. It plays an important role in our understanding on the formation channel of the planetary systems, as well as their habitability. Many approaches have been…

Earth and Planetary Astrophysics · Physics 2024-07-22 Hareesh Gautham Bhaskar , Nathaniel W. H. Moore , Jiapeng Gao , Gongjie Li , Billy Quarles

We study the dynamical stability and fates of hierarchical (in semi-major axis) two-planet systems with arbitrary eccentricities and mutual inclinations. We run a large number of long-term numerical integrations and use the Support Vector…

Earth and Planetary Astrophysics · Physics 2015-08-06 Cristobal Petrovich

The presence of mean motion resonances (MMRs) complicates analysis and fitting of planetary systems observed through the radial velocity (RV) technique. MMR can allow planets to remain stable in regions of phase space where strong…

Earth and Planetary Astrophysics · Physics 2019-09-25 M. M. Rosenthal , W. Jacobson-Galan , B. Nelson , R. A. Murray-Clay , J. A. Burt , B. Holden , E. Chang , N. Kaaz , J. Yant , R. P. Butler , S. S. Vogt

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a…

Astrophysics · Physics 2009-02-03 Julie Gayon , Eric Bois

High-multiplicity Kepler systems (referred to as Kepler multis) are often tightly packed and may be on the verge of instability. Many systems of this type could have experienced past instabilities, where the compact orbits and often low…

Earth and Planetary Astrophysics · Physics 2017-08-02 Jason A. Hwang , Jason H. Steffen , James C. Lombardi , Frederic A. Rasio

We present a detailed analysis of the orbital stability of the HD 181433 planetary system, finding it to exhibit strong dynamical instability across a wide range of orbital eccentricities, semi-major axes, and mutual inclinations. We also…

The discovery of multi-planet extrasolar systems has kindled interest in using their orbital evolution as a probe of planet formation. Accurate descriptions of planetary orbits identify systems which could hide additional planets or be in a…

Earth and Planetary Astrophysics · Physics 2015-05-18 Dimitri Veras , Eric B. Ford

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

Closely-packed multi-planet systems are known to experience dynamical instability if the spacings between the planets are too small. Such instability can be tempered by the frictional forces acting on the planets from gaseous discs. A…

Earth and Planetary Astrophysics · Physics 2022-06-07 Jiaru Li , Laetitia Rodet , Dong Lai

We present the design concept of the wavelength calibration system for the Habitable-zone Planet Finder instrument (HPF), a precision radial velocity (RV) spectrograph designed to detect terrestrial-mass planets around M-dwarfs. HPF is a…

Instrumentation and Methods for Astrophysics · Physics 2014-08-19 Samuel Halverson , Suvrath Mahadevan , Lawrence Ramsey , Ryan Terrien , Arpita Roy , Christian Schwab , Chad Bender , Fred Hearty , Eric Levi , Steve Osterman , Gabe Ycas , Scott Diddams

In order to distinguish between regular and chaotic planetary orbits we apply a new technique called MEGNO in a wide neighbourhood of orbital parameters determined using standard two-body Keplerian fits for HD 12661, HD 38529, HD 37124 and…

Astrophysics · Physics 2009-11-07 Ludmila Kiseleva-Eggleton , Eric Bois , Nicolas Rambaux , Rudolf Dvorak

We present an analysis of high precision radial velocity (RV) observations of stars hosting multi-planet systems with Jovian companions. We use dynamical stability constraints and quasi-global methods of optimization. As an illustration, we…

Astrophysics · Physics 2008-02-05 K. Gozdziewski , C. Migaszewski , A. Musielinski

Long-period circumbinary planets appear to be as common as those orbiting single stars and have been found to frequently have orbital radii just beyond the critical distance for dynamical stability. Assessing the stability is typically done…

Earth and Planetary Astrophysics · Physics 2018-02-12 Christopher Lam , David Kipping

Transit surveys have revealed a significant population of compact multi-planet systems, containing several sub-Neptune-mass planets on close-in, tightly-packed orbits. These systems are thought to have formed through a final phase of giant…

Earth and Planetary Astrophysics · Physics 2021-07-21 Samuel W. Yee , Daniel Tamayo , Samuel Hadden , Joshua N. Winn

We present results of numerical simulations which examine the dynamical stability of known planetary systems, a star with two or more planets. First we vary the initial conditions of each system based on observational data. We then…

Astrophysics · Physics 2008-11-26 Rory Barnes , Thomas Quinn

Current planet formation theories rely on initially compact orbital configurations undergoing a (possibly extended) phase of giant impacts following the dispersal of the dissipative protoplanetary disk. The orbital architectures of observed…

Earth and Planetary Astrophysics · Physics 2023-07-05 Alysa Obertas , Daniel Tamayo , Norm Murray

The Kepler mission has recently discovered a number of exoplanetary systems, such as Kepler-11 and Kepler-32, in which ensembles of several planets are found in very closely packed orbits (often within a few percent of an AU of one…

Earth and Planetary Astrophysics · Physics 2015-06-22 T. O. Hands , R. D. Alexander , W. Dehnen

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino