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Related papers: Planetary Stability Zones in Hierarchical Triple S…

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In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon

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

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

A general formulation to compute habitable zones (HZ) around binary stars is presented. A HZ in this context must satisfy two separate conditions: a radiative one and one of dynamical stability. For the case of single stars, the usual…

Earth and Planetary Astrophysics · Physics 2015-06-18 L. G. Jaime , L. Aguilar , B. Pichardo

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

Hierarchical triple systems play a crucial role in various astrophysical contexts, and therefore the understanding of their stability is important. Traditional empirical stability criteria rely on a threshold value of $Q$, the ratio between…

Solar and Stellar Astrophysics · Physics 2025-06-17 Ryutaro Iwakura , Yoko Funato , Junichiro Makino

The three-body problem is famously chaotic, with no closed-form analytical solutions. However, hierarchical systems of three or more bodies can be stable over indefinite timescales. A system is considered hierarchical if the bodies can be…

Solar and Stellar Astrophysics · Physics 2022-11-30 Max Tory , Evgeni Grishin , Ilya Mandel

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

About half of all known stellar systems with Sun-like stars consist of two or more stars, significantly affecting the orbital stability of any planet in these systems. This observational evidence has prompted a large array of theoretical…

Astrophysics · Physics 2009-11-13 J. Eberle , M. Cuntz , Z. E. Musielak

We present two approaches to determine the dynamical stability of a hierarchical triple-star system. The first is an improvement on the Mardling-Aarseth stability formula from 2001, where we introduce a dependence on inner orbital…

Solar and Stellar Astrophysics · Physics 2022-09-14 Pavan Vynatheya , Adrian S. Hamers , Rosemary A. Mardling , Earl P. Bellinger

Symplectic integrators are the tool of choice for many researchers studying dynamical systems because of their good long-term energy conservation properties. For systems with a dominant central mass, symplectic integrators are also highly…

Astrophysics · Physics 2007-05-23 John E. Chambers

Star-planet interactions play, among other things, a crucial role in planetary orbital configurations by circularizing orbits, aligning the star and planet spin and synchronizing stellar rotation with orbital motions. This is especially…

Using the results of Pichardo \et (2005,2008), we determine regions of dynamical stability where planets (or discs in general) could survive in stable orbits around binary stellar systems. We produce this study for 161 binary stars in the…

Earth and Planetary Astrophysics · Physics 2013-10-28 Luisa G. Jaime , Barbara Pichardo , Luis Aguilar

Transiting planets in multiple-star systems, especially high-order multiples, make up a small fraction of the known planet population but provide unique opportunities to study the environments in which planets would have formed.…

The majority of star formation results in binaries or higher multiple systems, and planets in such systems are constrained to a limited range of orbital parameters in order to remain stable against perturbations from stellar companions.…

Earth and Planetary Astrophysics · Physics 2024-07-22 Billy Quarles , Hareesh Gautham Bhaskar , Gongjie Li

Observations of exoplanets and protoplanetary disks show that binary stellar systems can host planets in stable orbits. Given the high binary fraction among stars, the contribution of binary systems to Galactic habitability should be…

Earth and Planetary Astrophysics · Physics 2020-11-18 Paolo Simonetti , Giovanni Vladilo , Laura Silva , Alessandro Sozzetti

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

Planets that orbit only one of the stars in stellar binary systems (i.e., circumstellar) are dynamically constrained to a limited range of orbital parameters and thus understanding conditions on their stability is of great importance in…

Earth and Planetary Astrophysics · Physics 2020-02-11 Billy Quarles , Gongjie Li , Veselin Kostov , Nader Haghighipour

About half of all known stellar systems with Sun-like stars consist of two or more stars, significantly affecting the orbital stability of any planet in these systems. Here we study the onset of instability for an Earth-type planet that is…

Astrophysics · Physics 2007-12-20 J. Eberle , M. Cuntz , Z. E. Musielak

In previous papers, we developed a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular. We considered systems with well separated components and different initial…

Earth and Planetary Astrophysics · Physics 2014-08-28 Nikolaos Georgakarakos
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