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Related papers: Mildly-Hierarchical triple dynamics and applicatio…

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A distant, massive planet in the outer solar system has recently been proposed to explain some observed features of extreme trans-Neptunian objects (TNOs). Here we use N-body simulations of the formation of the Kuiper belt and Oort cloud as…

Earth and Planetary Astrophysics · Physics 2021-10-13 Kalee E. Anderson , Nathan A. Kaib

We study the chaotic and secular evolution of hierarchical quadruple systems in the $3+1$ configuration, focusing on the evolution of mutual inclination of the inner binaries as the system undergoes coupled Lidov-Kozai (LK) oscillations. We…

Earth and Planetary Astrophysics · Physics 2017-12-27 Evgeni Grishin , Dong Lai , Hagai B. Perets

It is a well-known fact that the presence of a massive perturber interacting with a population of minor bodies following very eccentric orbits can strongly affect the distribution of their nodal distances. The details of this process have…

Earth and Planetary Astrophysics · Physics 2017-08-08 C. de la Fuente Marcos , R. de la Fuente Marcos

A disk around one component of a binary star system with sufficiently high inclination can undergo Kozai-Lidov (KL) oscillations during which the disk inclination and disk eccentricity are exchanged. Previous studies show that without a…

Earth and Planetary Astrophysics · Physics 2021-01-27 Jeremy L. Smallwood , Rebecca G. Martin , Stephen H. Lubow

One of the most remarkable properties of extrasolar planets is their high orbital eccentricities. Observations have shown that at least 20% of these planets, including some with particularly high eccentricities, are orbiting a component of…

Astrophysics · Physics 2009-11-10 G. Takeda , F. A. Rasio

The Kepler Mission has detected dozens of compact planetary systems with more than four transiting planets. This sample provides a collection of close-packed planetary systems with relatively little spread in the inclination angles of the…

Earth and Planetary Astrophysics · Physics 2015-12-02 Juliette C. Becker , Fred C. Adams

As the number of potential exomoon candidates grows, there is a heightened motivation of pursing orbital stability analyses. In this work, we provide an in-depth investigation into 4-body systems, consisting of a star, planet, moon, and…

Earth and Planetary Astrophysics · Physics 2025-01-22 Shaan D. Patel , Billy Quarles , Manfred Cuntz

This paper considers general relativistic (GR) effects in currently observed extrasolar planetary systems. Although GR corrections are small, they can compete with secular interactions in these systems and thereby play an important role.…

Astrophysics · Physics 2008-11-26 Fred C. Adams , Gregory Laughlin

We study the final architecture of planetary systems that evolve under the combined effects of planet-planet and planetesimal scattering. Using N-body simulations we investigate the dynamics of marginally unstable systems of gas and ice…

Earth and Planetary Astrophysics · Physics 2009-07-22 Sean N. Raymond , Philip J. Armitage , Noel Gorelick

In recent years, the long-term effects of non-linear perturbations were found to be important for the evolution of the hierarchical triple system, which, for the central third body of a larger mass, can significantly suppress the…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Li Hu , Rong-Gen Cai , Shao-Jiang Wang

Mean motion resonances play a fundamental role in the dynamics of the small bodies of the Solar System. The last decades of the 20th century gave us a detailed description of the dynamics as well as the process of capture of small bodies in…

Earth and Planetary Astrophysics · Physics 2018-06-06 Tabare Gallardo

We study the perturbations of a relatively close third star on a tidally distorted eccentric eclipsing binary. We consider both the observational consequences of the variations of the orbital elements and the interactions of the stellar…

Astrophysics · Physics 2009-11-13 T. Borkovits , E. Forgács-Dajka , Zs. Regály

We analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with full N-body simulations. The perturbation parameter adopted…

Earth and Planetary Astrophysics · Physics 2016-01-20 Eduardo Andrade-Ines , Cristian Beaugé , Tatiana Michtchenko , Philippe Robutel

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

Exoplanet detection surveys revealed the existence of numerous multi-planetary systems packed close to their stability limit. In this proceeding, we review the mechanism driving the instability of compact systems, originally published in…

Earth and Planetary Astrophysics · Physics 2024-12-02 Antoine C. Petit

The planetary obliquity plays a significant role in determining physical properties of planetary surfaces and climate. As direct detection is constrained due to the present observation accuracy, kinetic theories are helpful to predict the…

Earth and Planetary Astrophysics · Physics 2024-06-04 Xiumin Huang , Jianghui Ji , Shangfei Liu , Ruobing Dong , Su Wang

Dense stellar clusters are natural sites for the origin and evolution of exotic objects such as relativistic binaries (potential gravitational wave sources), blue stragglers, etc. We investigate the secular dynamics of a binary system…

Solar and Stellar Astrophysics · Physics 2019-08-19 Chris Hamilton , Roman R. Rafikov

Mildly hierarchical three-body systems are widespread in the Universe, exemplified by planets in stellar binaries and stars in black-hole binaries. In such systems, Brown Hamiltonian corrections play a crucial role in governing the…

Earth and Planetary Astrophysics · Physics 2025-07-29 Hao Gao , Hanlun Lei

A sample of 278 triple systems with outer separations under 300 au and resolved inner pairs is studied, focusing on the mutual alignment between inner and outer orbits. The degree of alignment increases with (i) decreasing outer separation,…

Solar and Stellar Astrophysics · Physics 2026-01-09 Andrei Tokovinin