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The evolution of thousands of orbits of Jupiter-family comets and asteroids under the gravitational influence of planets was calculated. Comparison of the results obtained by a symplectic method with those obtained by direct integration…

Astrophysics · Physics 2011-04-12 S. I. Ipatov

The study of our Solar System -- its formation, evolution, and long-term stability -- has been ongoing for centuries and is now a standard part of scientific education. While the formation of other Solar-like exoplanetary systems is…

Astrophysics of Galaxies · Physics 2026-05-14 Václav Pavlík , Steven N. Shore , Vladimír Karas , Matyáš Fuksa

Many asteroids in the main and trans-Neptunian belts are trapped in mean motion resonances with Jupiter and Neptune, respectively. As a side effect, they experience accidental commensurabilities among themselves. These commensurabilities…

Earth and Planetary Astrophysics · Physics 2016-05-16 C. de la Fuente Marcos , R. de la Fuente Marcos

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…

Earth and Planetary Astrophysics · Physics 2015-06-12 Ke Zhang , Douglas P. Hamilton , Soko Matsumura

We study the Kozai dynamics affecting the orbital evolution of transneptunian objects being captured or not in MMR with Neptune. We provide energy level maps of the type ({\omega},q) describing the possible orbital paths from Neptune up to…

Earth and Planetary Astrophysics · Physics 2015-06-05 Tabare Gallardo , Gaston Hugo , Pablo Pais

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

The dynamics of small bodies perturbed by an eccentric planet was done mostly under the assumption of well separated orbits using analytical approximations appropriate for the hierarchical case. In this work we study the dynamics of small…

Earth and Planetary Astrophysics · Physics 2025-07-28 Tabare Gallardo , Rodrigo Cabral

The Edgeworth-Kuiper belt encodes the dynamical history of the outer solar system. Kuiper belt objects (KBOs) bear witness to coagulation physics, the evolution of planetary orbits, and external perturbations from the solar neighborhood. We…

Astrophysics · Physics 2007-05-23 E. Chiang , Y. Lithwick , R. Murray-Clay , M. Buie , W. Grundy , M. Holman

Hot Jupiters are expected to form far from their host star and move toward close-in, circular orbits via a smooth, monotonic decay due to mild and constant tidal dissipation. Yet, three systems have recently been found exhibiting…

Earth and Planetary Astrophysics · Physics 2024-09-19 Jared Bryan , Julien de Wit , Meng Sun , Zoë L. de Beurs , Richard H. D. Townsend

We explore a simplified model of the outcome of an early outer Solar System gravitational upheaval during which objects were captured into Neptune's 3:2 mean motion resonance via scattering rather than smooth planetary migration. We use…

We explore conventional Neptune migration model with one additional planet of mass at 0.1-2.0 Me. This planet inhabited in the 3:2 mean motion resonance with Neptune during planet migration epoch, and then escaped from the Kuiper belt when…

Earth and Planetary Astrophysics · Physics 2009-08-13 Lun-Wen Yeh , Hsiang-Kuang Chang

We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

Earth and Planetary Astrophysics · Physics 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

We consider the evolution of a system containing a population of massive planets formed rapidly through a fragmentation process occurring on a scale on the order of 100 au and a lower mass planet that assembles in a disc on a much longer…

Astrophysics · Physics 2009-11-07 Caroline Terquem , John C. B. Papaloizou

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , Alessandro Morbidelli

Diversity in the properties of exoplanetary systems arises, in part, from dynamical evolution that occurs after planet formation. We use numerical integrations to explore the relative role of secular and resonant dynamics in the long-term…

Earth and Planetary Astrophysics · Physics 2022-03-23 Matthew M. Murphy , Philip J. Armitage

The dynamical structure of the Solar System can be explained by a period of orbital instability experienced by the giant planets. While a late instability was originally proposed to explain the Late Heavy Bombardment, recent work favors an…

Earth and Planetary Astrophysics · Physics 2019-12-25 Rafael Ribeiro de Sousa , Alessandro Morbidelli , Sean N. Raymond , Andre Izidoro , Rodney Gomes , Ernesto Vieira Neto

The dynamical structure of the Kuiper belt beyond 50 au is not well understood. Here we report results of a numerical model with long-range, slow and grainy migration of Neptune. The model implies that bodies scattered outward by Neptune to…

Earth and Planetary Astrophysics · Physics 2016-08-31 David Nesvorny , David Vokrouhlicky , Fernando Roig

We analyze a detailed Nice model simulation of Kuiper Belt emplacement from Brasser & Morbidelli (2013), where Neptune undergoes a high eccentricity phase and migrates outward. In this work, which follows from Pike et al. (2017), we…

Earth and Planetary Astrophysics · Physics 2017-10-11 R. E. Pike , S. M. Lawler

The hypothesis of an additional planet in the outer Solar System has gained new support as a result of the confinement noted in the angular orbital elements of distant trans-Neptunian objects. Orbital parameters proposed for the external…

Earth and Planetary Astrophysics · Physics 2018-09-26 Jessica Cáceres , Rodney Gomes

Among the numerous discoveries resulting from the {\it Kepler} mission are a plethora of compact planetary systems that provide deep insights into planet formation theories. The architecture of such compact systems also produces unique…

Earth and Planetary Astrophysics · Physics 2019-07-31 Stephen R. Kane
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