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In this paper I describe numerical calculations of the motion of particles in a disk about a solar-mass object perturbed by a planet on a circular orbit with mass greater than 0.001 of the stellar mass. A simple algorithm for simulating…

Earth and Planetary Astrophysics · Physics 2020-09-30 R. H. Sanders

Space missions have discovered a large number of exoplanets evolving in (or close to) mean-motion resonances (MMRs) and resonant chains. Often, the published data exhibit very high uncertainties due to the observational limitations that…

Earth and Planetary Astrophysics · Physics 2022-05-25 Kyriaki I. Antoniadou , George Voyatzis

Young planetary systems are subjected to different dynamical effects that can influence their orbital structure over time. In systems with more than one planet, other planets can internally influence each other, e.g. via planet-planet…

Earth and Planetary Astrophysics · Physics 2025-10-07 Christina Schoettler , James E Owen

Planetary systems with more than two bodies will experience orbital crossings at a time related to the initial orbital separations of the planets. After a crossing, the system enters a period of chaotic evolution ending in the reshaping of…

Earth and Planetary Astrophysics · Physics 2018-09-19 David R. Rice , Frederic A. Rasio , Jason H. Steffen

We study the stability of mean-motion resonances (MMR) between two planets during their migration in a protoplanetary disk. We use an analytical model of resonances, and describe the effect of the disk by a migration timescale (T_{m,i}) and…

Earth and Planetary Astrophysics · Physics 2015-07-22 J. -B. Delisle , A. C. M. Correia , J. Laskar

We present numerical simulations of dust clumping and planetesimal formation initiated by the streaming instability with self-gravity. We examine the variability in the planetesimal formation process by employing simulation domains with…

Earth and Planetary Astrophysics · Physics 2020-11-04 Josef Rucska , James Wadsley

Planets undergoing convergent migration can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. The dynamics of MMR are typically considered in isolation, including only the forces…

Earth and Planetary Astrophysics · Physics 2025-05-16 JT Laune , Dong Lai

Planetesimals may form from the gravitational collapse of dense particle clumps initiated by the streaming instability. We use simulations of aerodynamically coupled gas-particle mixtures to investigate whether the properties of…

Earth and Planetary Astrophysics · Physics 2017-10-04 Jacob B. Simon , Philip J. Armitage , Andrew N. Youdin , Rixin Li

Starting from planetary systems with three giant planets and an outer disk of planetesimals, we use dynamical simulations to show how dynamical instabilities can transform planetesimal disks into 100-1000 AU-scale isotropic clouds. The…

Earth and Planetary Astrophysics · Physics 2015-06-12 Sean N. Raymond , Philip J. Armitage

Transiting circumbinary planets (CBPs) are conspicuously rare, and entirely absent around stellar binaries with periods $\leq 7$ days. Here, we exploit a secular resonance to stimulate the orbit of a CBP into strong, disruptive interactions…

Earth and Planetary Astrophysics · Physics 2025-12-04 Mohammad Farhat , Jihad Touma

The streaming instability is a promising mechanism to overcome the barriers in direct dust growth and lead to the formation of planetesimals. Most previous studies of the streaming instability, however, were focused on a local region of a…

Earth and Planetary Astrophysics · Physics 2015-06-22 Chao-Chin Yang , Anders Johansen

A large sample of planet-planet scattering events for three planet systems with different orbital separations and masses is analyzed with a multiple regression model. The dependence of the time for the onset of instability on the masses of…

Earth and Planetary Astrophysics · Physics 2024-11-20 Francesco Marzari

We consider the chaotic motion of low-mass bodies in two-body high-order mean-motion resonances with planets in model planetary systems, and analytically estimate the Lyapunov and diffusion timescales of the motion in multiplets of…

Earth and Planetary Astrophysics · Physics 2022-07-27 Ivan I. Shevchenko

Most stars form in embedded clusters. Stellar flybys may affect the orbital architecture of the systems by exciting the eccentricity and causing dynamical instability. Since, incidentally, the timescale over which a cluster loses its…

Earth and Planetary Astrophysics · Physics 2015-06-12 Francesco Marzari , Giovanni Picogna

We examine the effects that dynamical instability has on shaping the orbital properties of exoplanetary systems. Using N-body simulations of non-EMS (Equal Mutual Separation), multi-planet systems we find that the lower limit of the…

Earth and Planetary Astrophysics · Physics 2019-02-01 Dong-Hong Wu , Rachel C. Zhang , Ji-Lin Zhou , Jason H. Steffen

The models that most successfully reproduce the orbital architecture of the Solar System terrestrial planets start from a narrow annulus of material that grows into embryos and then planets. However, it is not clear how this ring model can…

Earth and Planetary Astrophysics · Physics 2026-01-08 Max Goldberg , David Nesvorný , Alessandro Morbidelli

Fast radio bursts (FRBs) are transient radio events with millisecond-scale durations, and debated origins. Collisions between planetesimals and neutron stars have been proposed as a mechanism to produce FRBs; the planetesimal strength, size…

High Energy Astrophysical Phenomena · Physics 2024-11-15 Dang Pham , Matthew J. Hopkins , Chris Lintott , Michele T. Bannister , Hanno Rein

The observed census of resonant extrasolar planets spans a tantalizing display of orbital architectures, ranging from familiar 2:1 and 3:2 mean-motion commensurabilities to nearly co-orbital configurations characterized by period ratios…

Earth and Planetary Astrophysics · Physics 2026-03-31 Konstantin Batygin , Alessandro Morbidelli

We perform numerical calculations of the expected transit timing variations (TTVs) induced on a Hot-Jupiter by an Earth-mass perturber. Motivated by the recent discoveries of retrograde transiting planets, we concentrate on an investigation…

Earth and Planetary Astrophysics · Physics 2010-03-15 Matthew J. Payne , Eric B. Ford , Dimitri Veras

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou