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Studying the orbital stability of multi-planet systems is essential to understand planet formation, estimate the stable time of an observed planetary system, and advance population synthesis models. Although previous studies have primarily…

Earth and Planetary Astrophysics · Physics 2023-09-01 Sheng Yang , Liangyu Wu , Zekai Zheng , Masahiro Ogihara , Kangrou Guo , Wenzhan Ouyang , Yaxing He

We examine the effects that dynamical instability has on shaping the orbital properties of exoplanetary systems. Using N-body simulations of non-EMS (Equal Mutual Separation), multi-planet systems we find that the lower limit of the…

Earth and Planetary Astrophysics · Physics 2019-02-01 Dong-Hong Wu , Rachel C. Zhang , Ji-Lin Zhou , Jason H. Steffen

We study the orbital architecture of multi-planet systems detected by the Kepler transit mission using N-body simulations, focusing on the orbital spacing between adjacent planets in systems showing four or more transiting planets. We find…

Earth and Planetary Astrophysics · Physics 2015-05-01 Bonan Pu , Yanqin Wu

The high-multiplicity exoplanet systems are generally more tightly packed when compared to the solar system. Such compact multi-planet systems are often susceptible to dynamical instability. We investigate the impact of dynamical…

Earth and Planetary Astrophysics · Physics 2023-12-13 Tuhin Ghosh , Sourav Chatterjee

Many of the multi-planet systems discovered to date have been notable for their compactness, with neighbouring planets closer together than any in the Solar System. Interestingly, planet-hosting stars have a wide range of ages, suggesting…

Earth and Planetary Astrophysics · Physics 2018-07-04 Alysa Obertas , Christa Van Laerhoven , Daniel Tamayo

The dynamical stability of tightly packed exoplanetary systems remains poorly understood. While for a two-planet system a sharp stability boundary exists, numerical simulations of three and more planet systems show that they can experience…

Earth and Planetary Astrophysics · Physics 2020-09-30 Antoine C. Petit , Gabriele Pichierri , Melvyn B. Davies , Anders Johansen

To improve our understanding of orbital instabilities in compact planetary systems, we compare suites of $N$-body simulations against numerical integrations of simplified dynamical models. We show that, surprisingly, dynamical models that…

Earth and Planetary Astrophysics · Physics 2024-07-31 Caleb Lammers , Sam Hadden , Norman Murray

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

This study employs numerical simulations to explore the relationship between the dynamical instability of planetary systems and the uniformity of planetary masses within the system, quantified by the Gini index. Our findings reveal a…

Earth and Planetary Astrophysics · Physics 2024-11-15 Dong-Hong Wu , Sheng Jin , Jason H. Steffen

Compact planetary systems with more than two planets can undergo orbital crossings from planet-planet perturbations. The time which the system remains stable without orbital crossings has an exponential dependence on the initial orbital…

Earth and Planetary Astrophysics · Physics 2023-02-15 David R. Rice , Jason H. Steffen

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

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

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

A large sample of planet-planet scattering events for three planet systems with different orbital separations and masses is analyzed with a multiple regression model. The dependence of the time for the onset of instability on the masses of…

Earth and Planetary Astrophysics · Physics 2024-11-20 Francesco Marzari

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

Recent observational missions have uncovered a significant number of compact multi-exoplanet systems. The tight orbital spacing of these systems has led to much effort being applied to the understanding of their stability; however, a key…

Earth and Planetary Astrophysics · Physics 2021-06-09 Peter Bartram , Alexander Wittig , Jack J. Lissauer , Sacha Gavino , Hodei Urrutxua

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

Planetary systems with more than two bodies will experience orbital crossings at a time related to the initial orbital separations of the planets. After a crossing, the system enters a period of chaotic evolution ending in the reshaping of…

Earth and Planetary Astrophysics · Physics 2018-09-19 David R. Rice , Frederic A. Rasio , Jason H. Steffen

Most stars form in star clusters and stellar associated. To understand the roles of star cluster environments in shaping the dynamical evolution of planetary systems, we carry out direct $N$-body simulations of four planetary systems models…

Earth and Planetary Astrophysics · Physics 2017-06-15 Maxwell Xu Cai , M. B. N. Kouwenhoven , Simon F. Portegies Zwart , Rainer Spurzem

The majority of stars form in star clusters and many are thought to have planetary companions. We demonstrate that multi-planet systems are prone to instabilities as a result of frequent stellar encounters in these star clusters much more…

Earth and Planetary Astrophysics · Physics 2015-06-15 W. Hao , M. B. N. Kouwenhoven , R. Spurzem

The ejection of planets by the instability of planetary systems is a potential source of free-floating planets. We numerically simulate multi-planet systems to study the evolution process, the properties of surviving systems, and the…

Earth and Planetary Astrophysics · Physics 2025-09-16 Ruocheng Zhai , Man Hoi Lee , Tianjun Gan , Shude Mao
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