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Recent exoplanet observations reported a large number of multiple-planet systems, in which some of the planets are in a chain of resonances. The fraction of resonant systems to non-resonant systems provides clues about their formation…

Earth and Planetary Astrophysics · Physics 2020-04-22 Yuji Matsumoto , Masahiro Ogihara

About 25 per cent of `hot Jupiters' (extrasolar Jovian-mass planets with close-in orbits) are actually orbiting counter to the spin direction of the star. Perturbations from a distant binary star companion can produce high inclinations, but…

Earth and Planetary Astrophysics · Physics 2015-05-20 Smadar Naoz , Will M. Farr , Yoram Lithwick , Frederic A. Rasio , Jean Teyssandier

Planets have been observed in tight binary systems with separations less than 20 AU. A likely formation scenario for such systems involves a dynamical capture, after which high relative inclinations are likely and may lead to Kozai…

Earth and Planetary Astrophysics · Physics 2011-02-11 Lamya Saleh , Frederic Rasio

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

We perform numerical integrations of four-body (star, planet, planet, satellite) systems to investigate the stability of satellites in planetary Systems with Tightly-packed Inner Planets (STIPs). We find that the majority of closely-spaced…

Earth and Planetary Astrophysics · Physics 2015-06-16 Matthew J. Payne , Katherine M. Deck , Matthew J. Holman , Hagai B. Perets

A restricted planar circular three-body system, consisting of the Sun and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a…

Astrophysics · Physics 2009-10-31 Nader Haghighipour

Structures observed in debris disks may be caused by gravitational interaction with planetary or stellar companions. These perturbed disks are often thought to indicate the presence of planets and offer insights into the properties of both…

Earth and Planetary Astrophysics · Physics 2017-09-29 Maryam Tabeshian , Paul A. Wiegert

Recent observational campaigns have shown that multi-planet systems seem to be abundant in our Galaxy. Moreover, it seems that these systems might have distant companions, either planets, brown-dwarfs or other stellar objects. These…

Earth and Planetary Astrophysics · Physics 2018-11-07 Paul Denham , Smadar Naoz , Bao-Minh Hoang , Alexander P. Stephan , Will M. Farr

The Kepler space mission has detected a large number of exoplanets in multiple transiting planet systems. Previous studies found that these Kepler multiple planet systems exhibit an intra-system uniformity, namely planets in the same system…

Earth and Planetary Astrophysics · Physics 2020-09-30 Chao-Feng Jiang , Ji-Wei Xie , Ji-Lin Zhou

We present a stability analysis of a large set of simulated planetary systems of three or more planets based on architectures of multiplanet systems discovered by \textit{Kepler} and \textit{K2}. We propagated 21,400 simulated planetary…

Earth and Planetary Astrophysics · Physics 2024-04-11 Kathryn Volk , Renu Malhotra

It is widely assumed that a star and its protoplanetary disk are initially aligned, with the stellar equator parallel to the disk plane. When observations reveal a misalignment between stellar rotation and the orbital motion of a planet,…

Earth and Planetary Astrophysics · Physics 2021-02-16 Maria Hjorth , Simon Albrecht , Teruyuki Hirano , Joshua N. Winn , Rebekah I. Dawson , J. J. Zanazzi , Emil Knudstrup , Bun'ei Sato

Although resonant planets have orbital periods near commensurability, resonance is also dictated by other factors, such as the planets' eccentricities and masses, and therefore must be confirmed through a study of the system's dynamics.…

Earth and Planetary Astrophysics · Physics 2023-07-19 Tyler Quinn , Mariah MacDonald

Early dynamical evolution of close-in planetary systems is shaped by an intricate combination of planetary gravitational interactions, orbital migration, and dissipative effects. While the process of convergent orbital migration is expected…

Earth and Planetary Astrophysics · Physics 2019-05-01 Gabriele Pichierri , Konstantin Batygin , Alessandro Morbidelli

This paper is devoted to the study of secondary resonances and the stability of the Lagrangian point L4 in the spatial restricted three-body problem for moderate mass ratios (mu), meaning that mu is smaller than 0.0045. However, we…

Earth and Planetary Astrophysics · Physics 2017-08-23 Richard Schwarz , Akos Bazso , Balint Erdi , Barbara Funk

Compact non-resonant systems of sub-Jovian planets are the most common outcome of the planet formation process. Despite exhibiting broad overall diversity, these planets also display dramatic signatures of intra-system uniformity in their…

Earth and Planetary Astrophysics · Physics 2022-04-20 Max Goldberg , Konstantin Batygin

A significant number of the known multiple exoplanetary systems are containing a pair of giant planets engaged in a low order mean motion resonance. Such a resonant condition protects the dynamics of these planets resulting in very stable…

Astrophysics · Physics 2009-11-11 Zsolt Sandor , Willy Kley

We develop a phenomenological theory that aims to account for the origin of the large eccentricities of extrasolar planets and that of the small eccentricities in the solar system, the preference for apsidal alignment in non-resonant…

Astrophysics · Physics 2008-11-26 Fathi Namouni

Exoplanets are often found with short periods or high eccentricities, and multiple-planet systems are often in resonance. They require dynamical theories that describe more extreme motions than those of the relatively placid planetary…

Earth and Planetary Astrophysics · Physics 2010-06-22 Daniel C. Fabrycky

Discoveries of exoplanets orbiting evolved stars motivate critical examinations of the dynamics of $N$-body systems with mass loss. Multi-planet evolved systems are particularly complex because of the mutual interactions between the…

Earth and Planetary Astrophysics · Physics 2015-06-12 George Voyatzis , John D. Hadjidemetriou , Dimitri Veras , Harry Varvoglis

We find an interesting fact that fictitious retrograde co-orbitals of Saturn, or small bodies inside the retrograde 1:1 resonance with Saturn, are highly unstable in our numerical simulations. It is shown that in the presence of Jupiter,…

Earth and Planetary Astrophysics · Physics 2019-07-31 Yukun Huang , Miao Li , Junfeng Li , Shengping Gong