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Recent results have shown that many of the known extrasolar planetary systems contain regions which are stable for massless test particles. We examine the possibility that Saturn-mass planets exist in these systems, just below the detection…

Astrophysics · Physics 2009-11-10 Sean N. Raymond , Rory Barnes

A simple question of celestial mechanics is investigated: in what regions of phase space near a binary system can planets persist for long times? The planets are taken to be test particles moving in the field of an eccentric binary system.…

Astrophysics · Physics 2010-04-06 Matthew Holman , Paul Wiegert

The detection of many extrasolar gas giants with high eccentricities indicates that dynamical instabilities in planetary systems are common. These instabilities can alter the orbits of gas giants as well as the orbits of terrestrial planets…

Earth and Planetary Astrophysics · Physics 2018-02-19 Sonja Seppeur

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…

This paper explores the stability of an Earth-like planet orbiting a solar mass star in the presence of an outer-lying intermediate mass companion. The overall goal is to estimate the fraction of binary systems that allow Earth-like planets…

Astrophysics · Physics 2009-11-07 Eva-Marie David , Elisa V. Quintana , Marco Fatuzzo , Fred C. Adams

Based on radial velocity measurements it has been found recently that the two giant planets detected around the star HD 73526 are in 2:1 resonance. However, as our numerical integration shows, the derived orbital data for this system result…

Astrophysics · Physics 2009-11-13 Zs. Sandor , W. Kley , P. Klagyivik

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

Transitional disks are protoplanetary disks with large and deep central holes in the gas, possibly carved by young planets. Dong, R., & Dawson, R. 2016, ApJ, 825, 7 simulated systems with multiple giant planets that were capable of carving…

Earth and Planetary Astrophysics · Physics 2023-03-08 Rory Bowens , Andrew Shannon , Rebekah Dawson , Jiayin Dong

We investigate the possibility of finding Earth-like planets in the habitable zone of 34 nearby FGK-dwarfs, each known to host one giant planet exterior to their habitable zone detected by RV. First we simulate the dynamics of the planetary…

Earth and Planetary Astrophysics · Physics 2020-01-15 Giorgi Kokaia , Melvyn B. Davies , Alexander J. Mustill

The three-planet extrasolar system of HD 181433 has been detected with HARPS. The best-fit solution, announced by the discovery team, describes a highly unstable, self-disrupting configuration. In fact, a narrow observational window, only…

Earth and Planetary Astrophysics · Physics 2015-05-30 Giammarco Campanella

We have undertaken a thorough dynamical investigation of five extrasolar planetary systems using extensive numerical experiments. The systems Gl 777 A, HD 72659, Gl 614, 47 Uma and HD 4208 were examined concerning the question of whether…

We have studied planetary systems which are similar to the Solar System and built up from three inner rocky planets (Venus, Earth, Mars) and two outer gas giants. The stability of the orbits of the inner planets is discussed in the cases of…

Earth and Planetary Astrophysics · Physics 2015-05-18 Vera Dobos , Imre Nagy , Judit Orgoványi

The two innermost planets of the Proxima Centauri system are separated by just 0.02 au, inducing strong gravitational interactions between them. We assess this interaction by leveraging fast orbital stability indicators and find that…

Earth and Planetary Astrophysics · Physics 2024-01-18 Joseph R. Livesey , Rory Barnes , Russell Deitrick

With $n$-body simulations we investigate the stability of tilted circumbinary planetary systems consisting of two nonzero mass planets. The planets are initially in circular orbits that are coplanar to each other, as would be expected if…

Earth and Planetary Astrophysics · Physics 2023-03-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin , C. J. Nixon

Applying the technique of dynamical maps we study the orbital stability of test particles in the Solar System in the space (a,e,i) defined by 0.1<a<38 au, 0<e<0.9 and 0<i<180 identifying the unstable and stable regions. We find stable…

Earth and Planetary Astrophysics · Physics 2019-05-29 Tabare Gallardo

Discoveries of exoplanets using the radial velocity method are progressively reaching out to increasingly longer orbital periods as the duration of surveys continues to climb. The improving sensitivity to potential Jupiter analogs is…

Earth and Planetary Astrophysics · Physics 2020-01-08 Stephen R. Kane , Sarah Blunt

With the help of the Laplace-Lagrange solution of the secular perturbation theory in a double-planet system, we study the occurrence and the stability of apsidal secular resonance between the two planets. The explicit criteria to predict…

Astrophysics · Physics 2009-11-10 Ji-Lin Zhou , Yi-Sui Sun

We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 system with the best-fit orbital solutions by Lovis and coworkers (2006). In the simulations, we show that the triplet Neptunian…

Astrophysics · Physics 2008-11-26 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

The binary star system gamma Cephei is unusual in that it harbours a stable giant planet around the larger star at a distance only about a tenth of that of the stellar separation. Numerical simulations are carried out into the stability of…

Astrophysics · Physics 2009-11-11 P. E. Verrier , N. W. Evans

A new era of directly imaged extrasolar planets has produced a three-planet system (Marois et al. 2008), where the masses of the planets have been estimated by untested cooling models. We point out that the nominal circular, face-on orbits…

Astrophysics · Physics 2011-02-11 Daniel C. Fabrycky , Ruth A. Murray-Clay