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Exoplanet detection surveys revealed the existence of numerous multi-planetary systems packed close to their stability limit. In this proceeding, we review the mechanism driving the instability of compact systems, originally published in…

Earth and Planetary Astrophysics · Physics 2024-12-02 Antoine C. Petit

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

Before the launch of the Kepler Space Telescope, models of low-mass planet formation predicted that convergent Type I migration would often produce systems of low-mass planets in low-order mean-motion resonances. Instead, Kepler discovered…

Earth and Planetary Astrophysics · Physics 2023-12-06 Jacob H. Hamer , Kevin C. Schlaufman

This study employs numerical simulations to explore the relationship between the dynamical instability of planetary systems and the uniformity of planetary masses within the system, quantified by the Gini index. Our findings reveal a…

Earth and Planetary Astrophysics · Physics 2024-11-15 Dong-Hong Wu , Sheng Jin , Jason H. Steffen

This paper explores the stability of an Earth-like planet orbiting a solar-mass star in the presence of a stellar companion using ~ 400,000 numerical integrations. Given the chaotic nature of the systems being considered, we perform a…

Astrophysics · Physics 2009-11-11 M. Fatuzzo , F. C. Adams , R. Gauvin , E. M. Proszkow

We investigate whether any multi-planet systems among Kepler candidates (2011 February release) can harbor additional terrestrial-mass planets or smaller bodies. We apply the "packed planetary systems" hypothesis that suggests all planetary…

Earth and Planetary Astrophysics · Physics 2015-06-03 Julia Fang , Jean-Luc Margot

The large increase in exoplanet discoveries in the last two decades showed a variety of systems whose stability is not clear. In this work we chose the $\upsilon$ Andromedae system as the basis of our studies in dynamical stability. This…

Earth and Planetary Astrophysics · Physics 2018-06-11 Barbara Celi Braga Camargo , Othon Cabo Winter , Dietmar William Foryta

There is evidence that most chains of mean motion resonances of type $k$:$k-1$ among exoplanets become unstable once the dissipative action from the gas is removed from the system, particularly for large $N$ (the number of planets) and $k$…

Earth and Planetary Astrophysics · Physics 2020-05-06 Gabriele Pichierri , Alessandro Morbidelli

Compact multi-planet systems containing super-Earths or sub-Neptunes, commonly found around solar-type stars, may be surrounded by external giant planet or stellar companions, which can shape the architechture and observability of the inner…

Earth and Planetary Astrophysics · Physics 2021-03-23 Bonan Pu , Dong Lai

Consider the spatial three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances in mean motions. The…

Dynamical Systems · Mathematics 2016-03-23 Jacques Féjoz , Marcel Guardia

The interval approach to computation of dynamics of celestial bodies in the planetary problem has been considered. It is based on the refusal from idealization of infinitely high resolving capacity of measuring tools, and forms an…

Space Physics · Physics 2010-02-17 Valeriy V. Petrov

Gravitational perturbations in multi-planet systems caused by an accompanying star are the subject of this investigation. Our dynamical model is based on the binary star HD41004 AB where a giant planet orbits HD41004 A. We modify the…

Earth and Planetary Astrophysics · Physics 2022-01-12 Elke Pilat-Lohinger , Akos Bazso , Barbara Funk

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

Axisymmetric disks of eccentric Kepler orbits are vulnerable to an instability which causes orbits to exponentially grow in inclination, decrease in eccentricity, and cluster in their angle of pericenter. Geometrically, the disk expands to…

Earth and Planetary Astrophysics · Physics 2018-09-19 Ann-Marie Madigan , Alexander Zderic , Michael McCourt , Jacob Fleisig

Numerical simulations carried out over the past decade suggest that the orbits of the Global Navigation Satellite Systems are unstable, resulting in an apparent chaotic growth of the eccentricity. Here we show that the irregular and…

Earth and Planetary Astrophysics · Physics 2015-06-24 Aaron J. Rosengren , Elisa Maria Alessi , Alessandro Rossi , Giovanni B. Valsecchi

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

Earth and Planetary Astrophysics · Physics 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

Planets orbiting intermediate and low-mass stars are in jeopardy as their stellar hosts evolve to white dwarfs (WDs) because the dynamics of the planetary system changes due to the increase of the planet:star mass ratio after stellar…

Earth and Planetary Astrophysics · Physics 2022-03-02 R. F. Maldonado , E. Villaver , A. J. Mustill , M. Chávez

Radial velocity (RV) measurements of transiting multiplanet systems allow us to understand the densities and compositions of planets unlike those in the Solar System. Kepler-102, which consists of 5 tightly packed transiting planets, is a…

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity \kepler\ systems (four or more planets) and low multiplicity systems (two planets). Modeling the low multiplicity sample as essentially…

Earth and Planetary Astrophysics · Physics 2015-06-12 Jason H. Steffen
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