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A significant fraction of Kepler systems are closely-packed, largely coplanar and circular. We study the stability of a 6-planet system, Kepler-11, to gain insights on the dynamics and formation history of such systems. Using a technique…

Earth and Planetary Astrophysics · Physics 2014-10-14 Nikhil Mahajan , Yanqin Wu

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 investigate the orbits of compact binary systems during the final inspiral period before coalescence by integrating numerically the second-order post-Newtonian equations of motion. We include spin-orbit and spin-spin coupling terms,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jeremy D. Schnittman , Frederic A. Rasio

In many exoplanetary systems with `hot Jupiters', it is observed that the spin axes of host stars are highly misaligned to planetary orbital axes. In this study, a possible channel is investigated for producing such a misalignment under a…

Earth and Planetary Astrophysics · Physics 2023-06-28 Hanlun Lei , Yan-Xiang Gong

Two types of stability boundaries exist for any planetary system consisting of one star and two planets. Lagrange stability requires that the planets remain bound to the star, conserves the ordering of the distance from the star, and limits…

Astrophysics · Physics 2009-11-11 Rory Barnes , Richard Greenberg

Our understanding of the Solar System has been revolutionized over the past decade by the finding that the orbits of the planets are inherently chaotic. In extreme cases, chaotic motions can change the relative positions of the planets…

Astrophysics · Physics 2007-05-23 N. Murray , M. Holman

Galactic centres are highly dynamic regions dominated by a supermassive black hole (BH) surrounded by nuclear star clusters (NSC), molecular gas, and asymmetric matter distributions such as disks or halos. The combined gravitational effects…

Astrophysics of Galaxies · Physics 2026-02-18 Ushasee Paria , Uditi Nag , Yeasin Ali , Suparna Roychowdhury

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

Of the fourteen transiting extrasolar planetary systems for which radii have been measured, at least three appear to be considerably larger than theoretical estimates suggest. It has been proposed by Bodenheimer, Lin & Mardling that…

Astrophysics · Physics 2009-11-13 Rosemary A. Mardling

Recent observations suggest that the incidence of near-resonant planets declines as planetary systems age, making young planetary systems key signposts of early dynamical evolution. Here we investigate the dynamical states of three of the…

Earth and Planetary Astrophysics · Physics 2025-10-24 Zhecheng Hu , Fei Dai , Wei Zhu , Mu-Tian Wang , Max Goldberg , Caleb Lammers , Kento Masuda

In this paper, we have reviewed the present status of the theory of equilibrium configurations of compact binary star systems in Newtonian gravity. Evolutionary processes of compact binary star systems due to gravitational wave emission can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yoshiharu Eriguchi , Koji Uryu

Approximately half of the planets discovered by NASA's Kepler mission are in systems where just a single planet transits its host star, and the remaining planets are observed to be in multi-planet systems. Recent analyses have reported a…

Earth and Planetary Astrophysics · Physics 2020-10-07 Sanson T. S. Poon , Richard P. Nelson

Previous work has established the enhanced occurrence of compact systems of multiple small exoplanets around metal-poor stars. Understanding the origin of this effect in the planet formation process is a topic of ongoing research. Here we…

Earth and Planetary Astrophysics · Physics 2024-08-05 Benjamin T. Liberles , Jason A. Dittmann , Stephen M. Elardo , Sarah Ballard

The dynamics of small bodies perturbed by an eccentric planet was done mostly under the assumption of well separated orbits using analytical approximations appropriate for the hierarchical case. In this work we study the dynamics of small…

Earth and Planetary Astrophysics · Physics 2025-07-28 Tabare Gallardo , Rodrigo Cabral

The angular momentum deficit (AMD) of a planetary system is a measure of its orbital excitation and a predictor of long-term stability. We adopt the AMD-stability criteria to constrain the orbital architectures for exoplanetary systems.…

Earth and Planetary Astrophysics · Physics 2020-12-10 Matthias Y. He , Eric B. Ford , Darin Ragozzine , Daniel Carrera

The aim of this talk is to present the most recent advances in establishing plausible planetary system architectures determined by the gravitational tidal interactions between the planets and the disc in which they are embedded during the…

Earth and Planetary Astrophysics · Physics 2015-05-14 Ewa Szuszkiewicz , John C. B. Papaloizou

The Solar System's orbital structure is thought to have been sculpted by an episode of dynamical instability among the giant planets. However, the instability trigger and timing have not been clearly established. Hydrodynamical modeling has…

Earth and Planetary Astrophysics · Physics 2022-05-11 Beibei Liu , Sean N. Raymond , Seth A. Jacobson

This work shows the dynamical instability that can happen to close-in satellites when planet oblateness is not accounted for in non-coplanar multiplanet systems. Simulations include two secularly interacting Jupiter-mass planets mutually…

Earth and Planetary Astrophysics · Physics 2015-06-23 Yu-Cian Hong , Matthew S. Tiscareno , Philip D. Nicholson , Jonathan I. Lunine

In spite of planetary resonances being a common dynamical mechanism acting on planetary systems, no general model exists for describing their properties, particularly for commensurabilities of any order and arbitrary values of the…

Earth and Planetary Astrophysics · Physics 2021-02-24 Tabaré Gallardo , Cristián Beaugé , Cristian A. Giuppone

Although the long-term numerical integrations of planetary orbits indicate that our planetary system is dynamically stable at least +/- Gyr, the dynamics of our Solar System includes both chaotic and stable motions: the large planets…

Astrophysics · Physics 2009-11-13 Áron Süli , Rudolf Dvorak , Florian Freistetter