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This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

As of today ten circumbinary planets orbiting solar type main sequence stars have been discovered. Nearly all of them orbit around the central binary very closely to the region of instability where it is difficult to form them in situ. It…

Earth and Planetary Astrophysics · Physics 2019-07-10 Wilhelm Kley , Daniel Thun , Anna B. T. Penzlin

The stability of planets in the alpha-Centauri AB stellar system has been studied extensively. However, most studies either focus on the orbital plane of the binary or consider inclined circular orbits. Here, we numerically investigate the…

Earth and Planetary Astrophysics · Physics 2017-09-20 C. A. Giuppone , A. C. M. Correia

The quest of exo-Earths has become a prominent field. In this work, we study the stability of non-coplanar planetary configurations consisting of an inclined inner terrestrial planet in mean-motion resonance with an outer giant planet. We…

Earth and Planetary Astrophysics · Physics 2018-12-06 K. I. Antoniadou , A. -S. Libert

A key component of characterizing multi-planet exosystems is testing the orbital stability based on the observed properties. Such characterization not only tests the validity of how observations are interpreted but can also place additional…

Earth and Planetary Astrophysics · Physics 2016-09-09 Stephen R. Kane

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

Astrophysics · Physics 2007-05-23 Eric B. Ford , Frederic A. Rasio , Kenneth Yu

(Abridged) In planetary systems with two or more giant planets, dynamical instabilities can lead to collisions or ejections through strong planet--planet scattering. Previous studies for simple initial configurations with two equal-mass…

Astrophysics · Physics 2008-12-18 Eric B. Ford , Frederic A. Rasio

By now, observations of exoplanets have found more than 50 binary star systems hosting 71 planets. We expect these numbers to increase as more than 70% of the main sequence stars in the solar neighborhood are members of binary or multiple…

Earth and Planetary Astrophysics · Physics 2015-05-28 D. Bancelin , E. Pilat-Lohinger , S. Eggl , R. Dvorak

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

We numerically investigate the dynamics of orbits in 3D circumbinary phase-space as a function of binary eccentricity and mass fraction. We find that inclined circumbinary orbits in the elliptically-restricted three-body problem display a…

Solar and Stellar Astrophysics · Physics 2015-05-30 Samuel Doolin , Katherine M. Blundell

Binary-star exoplanetary systems are now known to be common, for both wide and close binaries. However, their orbital evolution is generally unsolvable. Special cases of the N-body problem which are in fact completely solvable include…

Earth and Planetary Astrophysics · Physics 2016-09-07 Dimitri Veras

We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

Planetary formation might occur at different stages of the stellar evolution of compact binaries. In recent years, the formation of second-generation planets has been tested in circumbinary discs formed by the ejection of stellar material…

Earth and Planetary Astrophysics · Physics 2026-02-04 Arianna Nigioni , Diego Turrini , Camilla Danielski , Danae Polychroni , John E. Chambers

Having a massive moon has been considered as a primary mechanism for stabilized planetary obliquity, an example of which being our Earth. This is, however, not always consistent with the exoplanetary cases. This article details the…

Earth and Planetary Astrophysics · Physics 2022-08-24 Renyi Chen , Gongjie Li , Molei Tao

In spite of planetary resonances being a common dynamical mechanism acting on planetary systems, no general model exists for describing their properties, particularly for commensurabilities of any order and arbitrary values of the…

Earth and Planetary Astrophysics · Physics 2021-02-24 Tabaré Gallardo , Cristián Beaugé , Cristian A. Giuppone

Many planets are observed in stellar binary systems, and their frequency may be comparable to that of planetary systems around single stars. Binary stellar evolution in such systems influences the dynamical evolution of the resident…

Earth and Planetary Astrophysics · Physics 2015-06-04 Kaitlin M. Kratter , Hagai B. perets

The new discoveries of circumbinary planetary systems shed light on the understanding of planetary system formation. Learning the architectural properties of these systems is essential for constraining the different formation mechanisms. We…

Earth and Planetary Astrophysics · Physics 2016-11-09 Gongjie Li , Matthew J. Holman , Molei Tao

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

The binary star system gamma Cephei is unusual in that it harbours a stable giant planet around the larger star at a distance only about a tenth of that of the stellar separation. Numerical simulations are carried out into the stability of…

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

The ejection of planets by the instability of planetary systems is a potential source of free-floating planets. We numerically simulate multi-planet systems to study the evolution process, the properties of surviving systems, and the…

Earth and Planetary Astrophysics · Physics 2025-09-16 Ruocheng Zhai , Man Hoi Lee , Tianjun Gan , Shude Mao
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