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This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes…

Astrophysics · Physics 2007-05-23 S. Ferraz-Mello , T. A. Michtchenko , C. Beauge

This paper investigates the long-term orbital stability of small bodies near the central binary of the Alpha Centauri system. Test particles on circular orbits are integrated in the field of this binary for 32000 binary periods or…

Astrophysics · Physics 2009-10-28 Paul A. Wiegert , Matt Holman

We evaluate the extent of the regions within the $\alpha$ Centauri AB star system where small planets are able to orbit for billion-year timescales, and we calculate the positions on the sky plane where planets on stable orbits about either…

Earth and Planetary Astrophysics · Physics 2016-04-19 Billy Quarles , Jack J. Lissauer

The organization of the orbits of most minor bodies in the Solar system seems to follow random patterns, the result of billions of years of chaotic dynamical evolution. Much as heterogeneous orbital behaviour is ubiquitous, dynamically…

Earth and Planetary Astrophysics · Physics 2017-12-08 C. de la Fuente Marcos , R. de la Fuente Marcos

We explore the origin and orbital evolution of the Kuiper belt in the framework of a recent model of the dynamical evolution of the giant planets, sometimes known as the Nice model. This model is characterized by a short, but violent,…

Instabilities and strong dynamical interactions between several giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities would…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

The asteroid belt is the leftover of the original planetesimal population in the inner solar system. However, currently the asteroids have orbits with all possible values of eccentricities and inclinations compatible with long-term…

Earth and Planetary Astrophysics · Physics 2016-08-31 Alessandro Morbidelli , Kevin J. Walsh , David P. O'Brien , David A. Minton , William F. Bottke

A large fraction of stars are formed in dense clusters. In the cluster, close encounters between stars at distances less than 100 au are common. It has been shown that during close encounters planets can transfer between stars. Such…

Earth and Planetary Astrophysics · Physics 2022-01-12 Giorgi Kokaia , Melvyn B. Davies , Alexander J. Mustill

We study how close-in systems such as those detected by Kepler are affected by the dynamics of bodies in the outer system. We consider two scenarios: outer systems of giant planets potentially unstable to planet--planet scattering, and wide…

Earth and Planetary Astrophysics · Physics 2017-05-03 Alexander J Mustill , Melvyn B Davies , Anders Johansen

Planet formation is often considered in the context of one circumstellar disk around one star. Yet stellar binary systems are ubiquitous, and thus a substantial fraction of all potential planets must form and evolve in more complex,…

Earth and Planetary Astrophysics · Physics 2022-02-16 Trent J. Dupuy , Adam L. Kraus , Kaitlin M. Kratter , Aaron C. Rizzuto , Andrew W. Mann , Daniel Huber , Michael J. Ireland

The orbital distributions of currently observed extrasolar giant planets allow marginally stable orbits for hypothetical, terrestrial planets. In this paper, we propose that many of these systems may not have additional planets on these…

Earth and Planetary Astrophysics · Physics 2015-06-11 Soko Matsumura , Shigeru Ida , Makiko Nagasawa

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

We develop an idealized dynamical model to predict the typical properties of outer extrasolar planetary systems, at radii beyond 5 AU. Our hypothesis is that dynamical evolution in outer planetary systems is controlled by a combination of…

Earth and Planetary Astrophysics · Physics 2015-05-18 Sean N. Raymond , Philip J. Armitage , Noel Gorelick

The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines…

Earth and Planetary Astrophysics · Physics 2015-09-16 Konstantin Batygin , Alessandro Morbidelli

This paper considers secular interactions within multi-planet systems. In particular we consider dynamical evolution of known planetary systems resulting from an additional hypothetical planet on an eccentric orbit. We start with an…

Earth and Planetary Astrophysics · Physics 2016-01-27 Matthew J. Read , Mark C. Wyatt

Using numerical simulations, we examine the structure of a cometary population near a massive planet, such as a giant planet of the Solar system, starting with one-planet approximation (the Sun plus one planet). By studying the…

Astrophysics · Physics 2009-10-31 Leonid M. Ozernoy , Nick N. Gorkavyi , Tanya Taidakova

The modestly eccentric and non-coplanar orbits of the giant planets pose a challenge to solar system formation theories which generally indicate that the giant planets emerged from the protoplanetary disk in nearly perfectly circular and…

Earth and Planetary Astrophysics · Physics 2025-11-06 Garett Brown , Renu Malhotra , Hanno Rein

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

Exoplanet detection in the past decade by efforts including NASA's Kepler and TESS missions has discovered many worlds that differ substantially from planets in our own Solar system, including more than 400 exoplanets orbiting binary or…

Earth and Planetary Astrophysics · Physics 2021-06-30 Zhihui Kong , Jonathan H. Jiang , Zong-Hong Zhu , Kristen A. Fahy , Remo Burn

We extend our study of the extent of the regions within the $\alpha$ Centauri AB star system where small planets are able to orbit for billion-year timescales (Quarles & Lissauer 2016, AJ 151, 111) to investigate the effects of minimizing…

Earth and Planetary Astrophysics · Physics 2018-01-19 Billy Quarles , Jack J. Lissauer , Nathan Kaib