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We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 system with the best-fit orbital solutions by Lovis and coworkers (2006). In the simulations, we show that the triplet Neptunian…

Astrophysics · Physics 2008-11-26 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

We extend the results of planetary formation synthesis by computing the long-term evolution of synthetic systems from the clearing of the gas disk into the dynamical evolution phase. We use the symplectic integrator SyMBA to numerically…

Earth and Planetary Astrophysics · Physics 2015-06-24 S. Pfyffer , Y. Alibert , W. Benz , D. Swoboda

Stellar systems consisting of multiple stars tend to undergo tidal interactions when the separations between the stars are short. While tidal phenomena have been extensively studied, a certain tidal effect exclusive to hierarchical triples…

Solar and Stellar Astrophysics · Physics 2018-06-27 Yan Gao , Alexandre C. M. Correia , Peter P. Eggleton , Zhanwen Han

In a planetary system with two or more well-spaced, eccentric, inclined planets, secular interactions may lead to chaos. The innermost planet may gradually become very eccentric and/or inclined, as a result of the secular degrees of freedom…

Earth and Planetary Astrophysics · Physics 2015-05-20 Yanqin Wu , Yoram Lithwick

We investigate the hierarchical gravitational three-body problem, in which a binary is perturbed by a distant object that orbits on a Keplerian ellipse around the binary itself. This phenomenon, known as Kozai-Lidov mechanism in the…

Classical Physics · Physics 2022-06-28 Barnabás Deme

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

We study the orbital evolution of hierarchical quadruple systems composed of two binaries on a long mutual orbit, where each binary acts as a Kozai-Lidov (KL) perturber on the other. We find that the coupling between the two binaries…

Solar and Stellar Astrophysics · Physics 2014-05-28 Ondrej Pejcha , Joe M. Antognini , Benjamin J. Shappee , Todd A. Thompson

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital perturbations on the spin dynamics. This model is relevant in…

Earth and Planetary Astrophysics · Physics 2016-04-27 A. Leleu , P. Robutel , A. C. M. Correia

Studies of binary pulsars provide insight into various theories of physics. Detection of such systems is challenging due to the Doppler modulation of the pulsed signal caused by the orbital motion of the pulsar. We investigated the loss of…

Solar and Stellar Astrophysics · Physics 2014-01-17 Manjari Bagchi , Duncan R. Lorimer , Spencer Wolfe

Compact multi-planet systems containing super-Earths or sub-Neptunes, commonly found around solar-type stars, may be surrounded by external giant planet or stellar companions, which can shape the architechture and observability of the inner…

Earth and Planetary Astrophysics · Physics 2021-03-23 Bonan Pu , Dong Lai

This study focuses on the long-term evolution of two bodies in nearby initially coplanar orbits around a central dominant body perturbed by a fourth body on a distant Keplerian orbit. Our previous works that considered this setup enforced…

Astrophysics of Galaxies · Physics 2024-05-17 Myank Singhal , Ladislav Šubr , Jaroslav Haas

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…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis

We analyze the secular evolution of hierarchical triple systems in the post-Newtonian approximation to general relativity. We expand the Newtonian three-body equations of motion in powers of the ratio $a/A$, where $a$ and $A$ are the…

Earth and Planetary Astrophysics · Physics 2017-08-04 Clifford M. Will

The three-body problem is arguably the oldest open question in astrophysics, and has resisted a general analytic solution for centuries. Various implementations of perturbation theory provide solutions in portions of parameter space, but…

Astrophysics of Galaxies · Physics 2020-03-18 Nicholas C. Stone , Nathan W. C. Leigh

Recent observations estimate that 30% of early B and O-type stars are found in triple systems. So far, the evolution of triple star systems has mainly been modeled using fast stellar codes. Their accuracy decreases with increasing mass,…

Solar and Stellar Astrophysics · Physics 2025-06-18 Luca Sciarini , Sylvia Ekström , Floris Kummer , Steven Rieder , Caspar Bruenech , Silvia Toonen , Eoin Farrell

The motion of two planets around a Sun-like star under the combined effects of mutual interaction and tidal dissipation is investigated. The secular behaviour of the system is analyzed using two different approaches. First, we solve the…

Earth and Planetary Astrophysics · Physics 2015-05-27 Adrián Rodríguez , Sylvio Ferraz-Mello , Tatiana A. Michtchenko , Cristian Beaugé , Octavio Miloni

We report a comprehensive search for hierarchical triple stellar system candidates amongst eclipsing binaries (EB) observed by the CoRoT spacecraft. We calculate and check eclipse timing variation (ETV) diagrams for almost 1500 EBs in an…

Solar and Stellar Astrophysics · Physics 2017-08-16 T. Hajdu , T. Borkovits , E. Forgács-Dajka , J. Sztakovics , G. Marschalkó , J. M. Benkő , P. Klagyivik , M. J. Sallai

Many exoplanets in close-in orbits are observed to have relatively high eccentricities and large stellar obliquities. We explore the possibility that these result from planet-planet scattering by studying the dynamical outcomes from a large…

Earth and Planetary Astrophysics · Physics 2014-04-24 Cristobal Petrovich , Scott Tremaine , Roman R. Rafikov

Low-mass binary millisecond pulsars (LMBPs) are born with very small orbital eccentricities, typically of order $e_i\sim10^{-6}$--$10^{-3}$. In globular clusters, however, higher eccentricities $e_f\gg e_i$ can be induced by dynamical…

Astrophysics · Physics 2016-08-30 Frederic A. Rasio , Douglas C. Heggie

The influence of the irregular forces on the evolution of a triple hierarchical stellar system moving in the field of stars have been studied. Triple hierarchical stellar systems are stable in contrary to the stellar systems with comparable…

Solar and Stellar Astrophysics · Physics 2011-10-25 Nina A. Solovaya