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We investigate the long time stability of the Sun-Jupiter-Saturn-Uranus system by considering the planar, secular model. Our method may be considered as an extension of Lagrange's theory for the secular motions. Indeed, concerning the…

数学物理 · 物理学 2013-03-26 Marco Sansottera , Ugo Locatelli , Antonio Giorgilli

We investigate the possibility that the large orbital eccentricity of the transiting Neptune-mass planet Gliese 436b is maintained in the face of tidal dissipation by a second planet in the system. We find that the currently observed…

地球与行星天体物理 · 物理学 2011-02-11 Konstantin Batygin , Gregory Laughlin , Stefano Meschiari , Eugenio Rivera , Steve Vogt , Paul Butler

We perform numerical simulations to study the Habitable zones (HZs) and dynamical structure for Earth-mass planets in multiple planetary systems. For example, in the HD 69830 system, we extensively explore the planetary configuration of…

地球与行星天体物理 · 物理学 2009-03-16 Ji Jianghui , Liu Lin , H. Kinoshita , Li Guangyu

The discovery of multi-planet extrasolar systems has kindled interest in using their orbital evolution as a probe of planet formation. Accurate descriptions of planetary orbits identify systems which could hide additional planets or be in a…

地球与行星天体物理 · 物理学 2015-05-18 Dimitri Veras , Eric B. Ford

We perform numerical simulations to study the secular orbital evolution and dynamical structure in the quintuplet planetary system 55 Cancri with the self-consistent orbital solutions by Fischer and coworkers (2008). In the simulations, we…

地球与行星天体物理 · 物理学 2009-06-01 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

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…

地球与行星天体物理 · 物理学 2018-06-11 Barbara Celi Braga Camargo , Othon Cabo Winter , Dietmar William Foryta

The current dynamical structure of the Kuiper belt was shaped by the orbital evolution of the giant planets, especially Neptune, during the era following planet formation, when the giant planets may have undergone planet-planet scattering…

地球与行星天体物理 · 物理学 2012-02-29 Schuyler Wolff , Rebekah I. Dawson , Ruth A. Murray-Clay

The Keplerian orbit of a terrestrial planet can be a significant driver in the evolution of surface conditions, as well as influencing the overall dynamics of the system. The HD 20794 system harbors three confirmed planets orbiting a nearby…

地球与行星天体物理 · 物理学 2026-05-27 Stephen R. Kane

Investigations were carried out on the stability of the two gas giant system HD 60532 itself including additional, smaller bodies. The methods used were numerical simulations with the Lie Series integration method, and secular perturbation…

地球与行星天体物理 · 物理学 2013-04-08 S. Rothwangl , S. Eggl , R. Dvorak

Recent analyses of Kepler space telescope data reveal that transiting planets with orbital periods shorter than about 2-3 days are generally observed around late-type stars with rotation periods longer than about 5-10 days. We investigate…

地球与行星天体物理 · 物理学 2015-06-19 A. F. Lanza , E. L. Shkolnik

We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand the disturbing function in terms of…

地球与行星天体物理 · 物理学 2017-11-08 Eduardo Andrade-Ines , Philippe Robutel

In a previous paper, we have presented a global view of the stability of Neptune Trojan (NT hereafter) on inclined orbit. We discuss in this paper the dependence of stability of NT orbits on the eccentricity. High-resolution dynamical maps…

地球与行星天体物理 · 物理学 2015-05-19 Li-Yong Zhou , Rudolf Dvorak , Yi-Sui Sun

Recent observations have shown that at least some close-in exoplanets maintain eccentric orbits despite tidal circularization timescales that are typically shorter than stellar ages. We explore gravitational interactions with a distant…

地球与行星天体物理 · 物理学 2015-06-12 Ke Zhang , Douglas P. Hamilton , Soko Matsumura

The secular Laplace-Lagrange orbital solution, decomposing eccentricities into a set of uniformly precessing eigenmodes is a classical result that is typically solved numerically. However, in the limit where orbits are closely spaced,…

地球与行星天体物理 · 物理学 2025-05-13 Qing Yang , Daniel Tamayo

The results of the numerical investigations of the evolution of orbits of trans-Neptunian bodies at the 2 : 3 resonance with Neptune are presented. The gravitational influence of the four giant planets was taken into account. For identical…

地球与行星天体物理 · 物理学 2024-12-19 S. I. Ipatov , J. Henrard

We investigate the long-time stability of the Sun-Jupiter-Saturn-Uranus system by considering a planar secular model, that can be regarded as a major refinement of the approach first introduced by Lagrange. Indeed, concerning the planetary…

数学物理 · 物理学 2017-02-17 Antonio Giorgilli , Ugo Locatelli , Marco Sansottera

[Abridged] We consider the dynamics of a system of hot super-Earths or Neptunes such as HD 40307. We show that, as tidal interaction with the central star leads to small eccentricities, the planets in this system could be undergoing…

地球与行星天体物理 · 物理学 2015-05-18 John C. B. Papaloizou , Caroline Terquem

The long-term stability of the evolution of two-planet systems is considered by using the general three body problem (GTBP). Our study is focused on the stability of systems with adjacent orbits when at least one of them is highly…

地球与行星天体物理 · 物理学 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis

The secular approximation for the evolution of hierarchical triple configurations has proven to be very useful in many astrophysical contexts, from planetary to triple-star systems. In this approximation the orbits may change shape and…

地球与行星天体物理 · 物理学 2015-05-28 Smadar Naoz , Will M. Farr , Yoram Lithwick , Frederic A. Rasio , Jean Teyssandier

Over the past two years, the search for low-mass extrasolar planets has led to the detection of seven so-called 'hot Neptunes' or 'super-Earths' around Sun-like stars. These planets have masses 5-20 times larger than the Earth and are…

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