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Context. The presence of a stellar companion can strongly influence the architecture and long-term stability of planetary systems. Motivated by the discovery of exoplanets exhibiting extremely high eccentricities (e >= 0.8) in systems with…

Earth and Planetary Astrophysics · Physics 2026-02-11 Milenne Ávila-Bravo , Carolina Charalambous , Claudia Aguilera-Gómez

We explore the stability of gravitational triple systems comprising a central massive body and a tight binary of less massive pairs. In the present paper, we focus on improving the Hill-type stability criterion for the binary in those…

Solar and Stellar Astrophysics · Physics 2025-04-08 Toshinori Hayashi , Alessandro A. Trani , Yasushi Suto

For centuries, our knowledge of planetary systems and ideas about planet formation were based on a single example, our solar system. During the last thirteen years, the discovery of ~170 planetary systems has ushered in a new era for…

Astrophysics · Physics 2007-05-23 Eric B. Ford

The rectilinear elliptic restricted Three Body Problem (TBP) is the limiting case of the elliptic restricted TBP when the motion of the primaries is described by a Keplerian ellipse with eccentricity $e'=1$, but the collision of the…

Earth and Planetary Astrophysics · Physics 2018-01-10 George Voyatzis , Kleomenis Tsiganis , Michalis Gaitanas

Short and ultra-short planets are a peculiar type of exoplanets with periods as short as a few days or less. Although it is challenging to detect them, already several are observed with many additional candidates. If these planets have…

Earth and Planetary Astrophysics · Physics 2023-05-08 Thea H. Faridani , Smadar Naoz , Gongjie Li , Nicholas Inzunza

Extrasolar multiple-planet systems provide valuable opportunities for testing theories of planet formation and evolution. The architectures of the known multiple-planet systems demonstrate a fascinating level of diversity, which motivates…

Earth and Planetary Astrophysics · Physics 2009-11-13 Robert A. Wittenmyer , Michael Endl , William D. Cochran , Harold F. Levison , Gregory W. Henry

Eccentricity is an important orbital parameter. Understanding its effect on planetary climate and habitability is critical for us to search for a habitable world beyond our solar system. The orbital configurations of M-dwarf planets are…

Earth and Planetary Astrophysics · Physics 2017-10-05 Yuwei Wang , Yonggang Liu , Feng Tian , Yongyun Hu , Yi Huang

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

Recent observational campaigns have shown that multi-planet systems seem to be abundant in our Galaxy. Moreover, it seems that these systems might have distant companions, either planets, brown-dwarfs or other stellar objects. These…

Earth and Planetary Astrophysics · Physics 2018-11-07 Paul Denham , Smadar Naoz , Bao-Minh Hoang , Alexander P. Stephan , Will M. Farr

We have undertaken a thorough dynamical investigation of five extrasolar planetary systems using extensive numerical experiments. The systems Gl 777 A, HD 72659, Gl 614, 47 Uma and HD 4208 were examined concerning the question of whether…

The probability of the detection of Earth-like exoplanets may increase in the near future after the launch of the space missions using the transit photometry as observation method. By using this technique only the semi-major axis of the…

Astrophysics · Physics 2009-11-11 Zsolt Sandor

The new 2-planetary system around HD169830 has been announced during the XIX-th IAP Colloquium "Extrasolar Planets: Today & Tomorrow" (Paris, June 30 - July 4, 2003) by the Geneva Extrasolar Planet Search team. We study the orbital dynamics…

Astrophysics · Physics 2009-09-29 Krzysztof Gozdziewski , Maciej Konacki

Multi-planetary systems are prevalent in our Galaxy. The long-term stability of such systems may be disrupted if a distant inclined companion excites the eccentricity and inclination of the inner planets via the eccentric Kozai-Lidov…

Earth and Planetary Astrophysics · Physics 2023-12-11 Lingfeng Wei , Smadar Naoz , Thea Faridani , Will M. Farr

In a previous paper (Gayon & Bois 2008a), we have shown the general efficiency of retrograde resonances for stabilizing compact planetary systems. Such retrograde resonances can be found when two-planets of a three-body planetary system are…

Earth and Planetary Astrophysics · Physics 2009-08-11 Julie Gayon , Eric Bois , Hans Scholl

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

We show that in a system of two planets initially in nearly circular orbits, an impulse perturbation that imparts a finite eccentricity to one planet's orbit causes the other planet's orbit to become eccentric as well, and also naturally…

Astrophysics · Physics 2009-11-07 Renu Malhotra

Near-rectilinear halo orbits (NRHOs) around Earth-Moon L2 in the Circular Restricted 3-Body Problem (CR3BP) exhibit a complex dynamical landscape, featuring a band of normally elliptic orbits embedded within regions of strong instability.…

Dynamical Systems · Mathematics 2026-04-14 Joan Gimeno , Luke T. Peterson

The dynamics of a rigid, rotating, precessing, massive ring orbiting a point mass within the perimeter of the ring are considered. It is demonstrated that orbits dynamically stable against perturbations in three dimensions exist for a range…

Classical Physics · Physics 2014-12-08 Edward D. Rippert

Although our solar system features predominantly circular orbits, the exoplanets discovered so far indicate that this is the exception rather than the rule. This could have crucial consequences for exoplanet climates, both because eccentric…

Earth and Planetary Astrophysics · Physics 2010-10-12 David S. Spiegel

We study the secular effects in the motion of an asteroid with negligible mass in a spatial restricted elliptic three body problem with arbitrary inclination. Averaging over mean anomalies of the asteroid and the planet are applied to…

Dynamical Systems · Mathematics 2024-09-20 Xiumin Huang , Yan Luo , Kaicheng Sheng , Yiru Ye
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