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Related papers: Stability of multiplanet systems in binaries

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The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

It has recently been suggested that the eclipsing polar HU Aquarii is host to at least two giant planets. We have performed highly detailed dynamical analysis of the orbits of those planets and show that the proposed system is highly…

Earth and Planetary Astrophysics · Physics 2015-05-28 J. Horner , J. P. Marshall , Robert A. Wittenmyer , C. G. Tinney

Recent ground and space-based observations show that stars with multiple planets are common in the galaxy. Most of these observational methods are biased toward detecting large planets near to their host stars. Because of these…

Earth and Planetary Astrophysics · Physics 2022-06-29 Thea Faridani , Smadar Naoz , Lingfeng Wei , Will M. Farr

Here we present an initial look at the dynamics and stability of 178 multiplanetary systems which are already confirmed and listed in the NASA Exoplanet Archive. To distinguish between the chaotic and regular nature of a system, the value…

Earth and Planetary Astrophysics · Physics 2022-12-02 Pavol Gajdoš , Martin Vaňko

Understanding the stability of exoplanet systems is crucial for constraining planetary formation and evolution theories. We use the machine-learning stability indicator, SPOCK, to characterize the stability of 126 high-multiplicity systems…

Earth and Planetary Astrophysics · Physics 2025-01-14 Matthew J. Doty , Lauren M. Weiss , Matthias Y. He , Antoine C. Petit

Hierarchical triple systems play a crucial role in various astrophysical contexts, and therefore the understanding of their stability is important. Traditional empirical stability criteria rely on a threshold value of $Q$, the ratio between…

Solar and Stellar Astrophysics · Physics 2025-06-17 Ryutaro Iwakura , Yoko Funato , Junichiro Makino

We analyze previous results on the stability of uniformly and differentially rotating, self-gravitating, gaseous and stellar, axisymmetric systems to derive a new stability criterion for the appearance of toroidal, m=2 Intermediate (I) and…

Astrophysics · Physics 2007-09-24 D. M. Christodoulou , I. Shlosman , J. E. Tohline

The orbital separation of compact binary stars will shrink with time due to the emission of gravitational radiation. This inspiralling phase of a binary system's evolution generally will be very long compared to the system's orbital period,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Kimberly C. B. New , Joel E. Tohline

We study the stability of the (87) Sylvia system and of the neighborhood of its two satellites. We use numerical integrations considering the non-sphericity of Sylvia, as well as the mutual perturbation of the satellites and the solar…

Earth and Planetary Astrophysics · Physics 2015-06-03 Julien Frouard , Audrey Compère

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

We perform long-term simulations, up to ten billion years, of closely-spaced configurations of 2 -- 6 planets, each as massive as the Earth, traveling on nested orbits about either stellar component in $\alpha$ Centauri AB. The innermost…

Earth and Planetary Astrophysics · Physics 2018-03-06 Billy Quarles , Jack J. Lissauer

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

The long-term stability of the evolution of two-planet systems is considered by using the general three body problem (GTBP). Our study is focused on the stability of systems with adjacent orbits when at least one of them is highly…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis

(Abridged)We numerically investigated the dynamical architecture of 47 UMa with the planetary configuration of the best-fit orbital solutions by Fischer et al. We systematically studied the existence of Earth-like planets in the region 0.05…

Astrophysics · Physics 2007-05-23 Jianghui Ji , Lin Liu , H. Kinoshita , Guangyu Li

Binary systems host complex orbital dynamics where test particles can occupy stable regions despite strong gravitational perturbations. The sailboat region, discovered in the Pluto-Charon system, allows highly eccentric S-type orbits at…

Earth and Planetary Astrophysics · Physics 2025-11-26 Rafael Sfair , Tiago F. L. L. Pinheiro , Giovana Ramon , Ernesto Vieira

We study the dynamics of planetary systems with two planets moving in the same plane, when frictional forces act on the two planets, in addition to the gravitational forces. The model of the general three-body problem is used. Different…

Earth and Planetary Astrophysics · Physics 2015-05-19 J. D. Hadjidemetriou , G. Voyatzis

We show that stability of planetary systems is intimately connected with their internal order. An arbitrary initial distribution of planets is susceptible to catastrophic events in which planets either collide or are ejected from the…

Earth and Planetary Astrophysics · Physics 2018-05-08 Rentao Pakter , Yan Levin

Stability of Hilda Asteroids in the solar system around the 3:2 resonance point is analyzed in terms of the Sun-Jupiter-asteroid elliptic restricted three-body problem. We show that the Hamiltonian of the system is well-approximated by a…

Earth and Planetary Astrophysics · Physics 2024-09-10 Kosuke Asano , Kenichi Noba , Tomio Petrosky

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…

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