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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

It has recently been stated that the warp structure observed around the star Beta Pictoris may be due to four planets embedded in its debris disk (Wahhaj et al., 2003). It, therefore, becomes important to investigate for what range of…

Astrophysics · Physics 2009-11-10 Jared H. Crossley , Nader Haghighipour

The majority of stars form in star clusters and many are thought to have planetary companions. We demonstrate that multi-planet systems are prone to instabilities as a result of frequent stellar encounters in these star clusters much more…

Earth and Planetary Astrophysics · Physics 2015-06-15 W. Hao , M. B. N. Kouwenhoven , R. Spurzem

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

We investigate a new theory of the origin of the irregular satellites of the giant planets: capture of one member of a ~100-km binary asteroid after tidal disruption. The energy loss from disruption is sufficient for capture, but it cannot…

Earth and Planetary Astrophysics · Physics 2015-05-14 Catherine Philpott , Douglas P. Hamilton , Craig B. Agnor

The two innermost planets of the Proxima Centauri system are separated by just 0.02 au, inducing strong gravitational interactions between them. We assess this interaction by leveraging fast orbital stability indicators and find that…

Earth and Planetary Astrophysics · Physics 2024-01-18 Joseph R. Livesey , Rory Barnes , Russell Deitrick

It is known, that possibility to capture on a satellite orbit is decreased with primary orbital eccentricity increasing. It means, that satellites of planet on eccentric orbit are less stable. We study problem by analytical and numeric…

Earth and Planetary Astrophysics · Physics 2013-04-26 Alexey Rosaev

Many extrasolar planetary systems containing multiple super-Earths have been discovered. N-body simulations taking into account standard type-I planetary migration suggest that protoplanets are captured into mean-motion resonant orbits near…

Earth and Planetary Astrophysics · Physics 2015-06-11 Yuji Matsumoto , Makiko Nagasawa , Shigeru Ida

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

The high-multiplicity exoplanet systems are generally more tightly packed when compared to the solar system. Such compact multi-planet systems are often susceptible to dynamical instability. We investigate the impact of dynamical…

Earth and Planetary Astrophysics · Physics 2023-12-13 Tuhin Ghosh , Sourav Chatterjee

The recently discovered planetary system in the binary GamCep was studied concerning its dynamical evolution. We confirm that the orbital parameters found by the observers are in a stable configuration. The primary aim of this study was to…

Astrophysics · Physics 2009-11-07 R. Dvorak , E. Pilat-Lohinger , B. Funk , F. Freistetter

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

The architecture and evolution of planetary systems are shaped in part by stellar flybys. Within this context, we look at stellar encounters which are too weak to immediately destabilize a planetary system but are nevertheless strong enough…

Earth and Planetary Astrophysics · Physics 2022-06-30 Garett Brown , Hanno Rein

The triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004.…

Earth and Planetary Astrophysics · Physics 2012-11-20 Xiaodong Liu , Hexi Baoyin , Nikolaos Georgakarakos , John Richard Donnison , Xingrui Ma

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

Studying the orbital stability of multi-planet systems is essential to understand planet formation, estimate the stable time of an observed planetary system, and advance population synthesis models. Although previous studies have primarily…

Earth and Planetary Astrophysics · Physics 2023-09-01 Sheng Yang , Liangyu Wu , Zekai Zheng , Masahiro Ogihara , Kangrou Guo , Wenzhan Ouyang , Yaxing He

On the basis of tidal despinning timescale arguments, Peale showed in 1977 that the majority of irregular satellites (with unknown rotation states) are expected to reside close to their initial (fast) rotation states. Here we investigate…

Earth and Planetary Astrophysics · Physics 2013-12-19 A. V. Melnikov , I. I. Shevchenko

A restricted planar circular three-body system, consisting of the Sun and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a…

Astrophysics · Physics 2009-10-31 Nader Haghighipour

Debates regarding the age and inclination of the planetary system orbiting HR 8799, and the release of additional astrometric data following the discovery of the fourth planet prompted us to examine the possibility of constraining these two…

Earth and Planetary Astrophysics · Physics 2015-06-03 Jeffrey J. Sudol , Nader Haghighipour

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
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