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In co-orbital planetary systems, two or more planets share the same orbit around their star. Here we test the dynamical stability of co-orbital rings of planets perturbed by outside forces. We test two setups: i) 'stationary' rings of…

Earth and Planetary Astrophysics · Physics 2023-05-10 Sean N. Raymond , Dimitri Veras , Matthew S. Clement , Andre Izidoro , David Kipping , Victoria Meadows

We develop a semi-analytical model for computing planetary system formation with the aim of explaining the observed diversity of planetary systems architectures and relate this primordial diversity with the initial properties of the disc…

Earth and Planetary Astrophysics · Physics 2015-05-28 Yamila Miguel , Octavio M. Guilera , Adrian Brunini

Surveys of the binary populations in the solar neighbourhood have shown that the periods of G- and M-type stars are log-normally distributed. However, observations of young binary populations suggest a log-uniform distribution. Clearly some…

Solar and Stellar Astrophysics · Physics 2015-06-05 Christina Korntreff , Thomas Kaczmarek , Susanne Pfalzner

The performance of decision policies and prediction models often deteriorates when applied to environments different from the ones seen during training. To ensure reliable operation, we analyze the stability of a system under distribution…

Machine Learning · Statistics 2026-02-13 Hongseok Namkoong , Yuanzhe Ma , Peter W. Glynn

We investigate the orbital stability of a tilted circumbinary planetary system with three giant planets. The planets are spaced by a constant number ($\Delta$) of mutual Hill radii in the range $\Delta=3.4-12.0$ such that the period ratio…

Earth and Planetary Astrophysics · Physics 2023-08-22 Cheng Chen , Rebecca G. Martin , C. J. Nixon

Context: Numerous theoretical studies of the stellar dynamics of triple systems have been carried out, but fewer purely empirical studies that have addressed planetary orbits within these systems. Most of these empirical studies have been…

Earth and Planetary Astrophysics · Physics 2018-11-21 F. Busetti , H. Beust , C. Harley

A possible polar-ring debris disc, the dynamics of which can be described by the outer hierarchical restricted three-body problem, has been detected in 99 Herculis. An empirical formula on the minimum radius beyond which test particles in…

Earth and Planetary Astrophysics · Physics 2023-08-02 Ying Wang , Wei Sun , Ji-lin Zhou , Ming Yang , Fu-yao Liu

The current orbital geometries of exoplanet systems offer a fossilized record of the systems' dynamical histories. A particularly rich set of dynamical mechanisms is available to exoplanets residing in multi-star systems, which may have…

Earth and Planetary Astrophysics · Physics 2024-01-10 Malena Rice , Konstantin Gerbig , Andrew Vanderburg

One possible diagnostic of planet formation, orbital migration, and tidal evolution is the angle psi between a planet's orbital axis and the spin axis of its parent star. In general, psi cannot be measured, but for transiting planets one…

Earth and Planetary Astrophysics · Physics 2011-02-11 Daniel C. Fabrycky , Joshua N. Winn

The triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004.…

Earth and Planetary Astrophysics · Physics 2012-11-20 Xiaodong Liu , Hexi Baoyin , Nikolaos Georgakarakos , John Richard Donnison , Xingrui Ma

We present a method for constructing dynamical models of stellar systems described by distribution functions and constrained by discrete-kinematic data. We implement various improvements compared to earlier applications of this approach,…

Astrophysics of Galaxies · Physics 2026-04-28 Eugene Vasiliev , Anja Feldmeier-Krause , Mattia C. Sormani

At least 10-15% of nearby sun-like stars have known Jupiter-mass planets. In contrast, very few planets are found in mature open and globular clusters such as the Hyades and 47 Tuc. We explore here the possibility that this dichotomy is due…

Astrophysics · Physics 2009-05-12 R. Spurzem , M. Giersz , D. C. Heggie , D. N. C. Lin

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

Previous analyses of Doppler and Kepler data have found that Sun-like stars hosting "cold Jupiters" (giant planets with $a\gtrsim 1\,\mathrm{AU}$) almost always host "inner super-Earths" (1-$4\,R_\oplus$, $a\lesssim1\,\mathrm{AU}$). Here,…

Earth and Planetary Astrophysics · Physics 2020-01-08 Kento Masuda , Joshua N. Winn , Hajime Kawahara

Astronomers generally assume planet-forming disks are aligned with the rotation of their host star. However, recent observations have shown evidence of warping in protoplanetary disks. One can measure the statistical alignment between the…

Solar and Stellar Astrophysics · Physics 2025-04-07 Matthew J. Fields , Andrew W. Mann , Aurora Kesseli , Andrew W. Boyle

How rapidly a planet grows in mass and how far they may park from the host star depend sensitively on two non-dimensional parameters: Stokes number St and turbulent $\alpha$. Yet, these parameters remain highly uncertain being difficult or…

Earth and Planetary Astrophysics · Physics 2024-07-04 Eve J. Lee

The statistical properties of planets in binaries were investigated. Any difference to planets orbiting single stars can shed light on the formation and evolution of planetary systems. As planets were found around components of binaries…

Astrophysics · Physics 2009-11-11 S. Desidera , M. Barbieri

Recent studies claimed that planets around the same star have similar sizes and masses and regular spacings, and that planet pairs usually show ordered sizes such that the outer planet is usually the larger one. Here I show that these…

Earth and Planetary Astrophysics · Physics 2020-04-15 Wei Zhu

A symplectic integrator algorithm suitable for hierarchical triple systems is formulated and tested. The positions of the stars are followed in hierarchical Jacobi coordinates, whilst the planets are referenced purely to their primary. The…

Astrophysics · Physics 2009-11-13 P. E. Verrier , N. W. Evans

Previous studies using Kepler data suggest that planets orbiting the same star tend to have similar sizes. However, due to the faintness of the stars, only a few of the planets were also detected with radial velocity follow-ups, and…

Earth and Planetary Astrophysics · Physics 2022-02-09 J. F. Otegi , R. Helled , F. Bouchy