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This work focuses on the dynamics and the detection methods of co-orbital exoplanets. We call "co-orbital" any configuration in which two planets orbit with the same mean mean-motion around the same star. First, we revisit the results of…

Earth and Planetary Astrophysics · Physics 2017-01-23 Adrien Leleu

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

The dynamical evolution of a hierarchical three body system is well characterized by the eccentric Kozai-Lidov mechanism, where the inner orbit can undergo large eccentricity and inclination oscillations. It was shown before that starting…

Earth and Planetary Astrophysics · Physics 2015-06-17 Gongjie Li , Smadar Naoz , Bence Kocsis , Abraham Loeb

We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities, also we assume that both planets share the same…

Earth and Planetary Astrophysics · Physics 2015-05-18 C. A. Giuppone , C. Beaugé , T. A. Michtchenko , S. Ferraz-Mello

We develop a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular, while the outer one is eccentric. We consider coplanar systems with well separated components and…

Earth and Planetary Astrophysics · Physics 2014-08-27 Nikolaos Georgakarakos

We investigate the dynamics of a nonzero mass, circular orbit planet around an eccentric orbit binary for various values of the binary eccentricity, binary mass fraction, planet mass, and planet semi--major axis by means of numerical…

Earth and Planetary Astrophysics · Physics 2019-11-06 Cheng Chen , Alessia Franchini , Stephen H. Lubow , Rebecca G. Martin

[Abridged] The recent discovery of a transiting planet on a non-circular orbit with a massive highly eccentric companion orbiting HAT-P-13 offers the possibility of probing the structure of the short-period planet. The ability to do this…

Earth and Planetary Astrophysics · Physics 2015-05-18 Rosemary A. Mardling

We study the orbital evolution of eccentric binary neutron stars. The orbit is described as a Quasi-Keplarian orbit with perturbations due to tidal couplings. We find that the tidal interaction between stars contributes to orbital…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Huan Yang

In a previous paper, we developed a technique for estimating the inner eccentricity in coplanar hierarchical triple systems on initially circular orbits, with comparable masses and with well separated components, based on an expansion of…

Earth and Planetary Astrophysics · Physics 2014-08-28 Nikolaos Georgakarakos

We explore test particle orbits in the orbital plane of eccentric stellar binary systems, searching for ``invariant loops'': closed curves that change shape periodically as a function of binary orbital phase as the test particles in them…

Astrophysics · Physics 2016-08-30 Barbara Pichardo , Linda S. Sparke , Luis A. Aguilar

Binary-star exoplanetary systems are now known to be common, for both wide and close binaries. However, their orbital evolution is generally unsolvable. Special cases of the N-body problem which are in fact completely solvable include…

Earth and Planetary Astrophysics · Physics 2016-09-07 Dimitri Veras

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

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

We numerically investigate the dynamics of rotation of several close-in terrestrial exoplanet candidates. In our model, the rotation of the planet is disturbed by the torque of the central star due to the asymmetric equilibrium figure of…

Earth and Planetary Astrophysics · Physics 2015-06-05 Nelson Callegari , Adrian Rodríguez

Since exoplanets were detected using the radial velocity method, they have revealed a diverse distribution of orbital configurations. Amongst these are planets in highly eccentric orbits (e > 0.5). Most of these systems consist of a single…

Earth and Planetary Astrophysics · Physics 2015-06-18 Stephen R. Kane , Sean N. Raymond

We study the evolution of spin-orbital correlations in an inhomogeneous quantum system with an impurity replacing a doublon by a holon orbital degree of freedom. Spin-orbital entanglement is large when spin correlations are…

Strongly Correlated Electrons · Physics 2018-04-04 Wojciech Brzezicki , Mario Cuoco , Filomena Forte , Andrzej M. Oleś

A test particle in a noncoplanar orbit about a member of a binary system can undergo Kozai-Lidov oscillations in which tilt and eccentricity are exchanged. An initially circular highly inclined particle orbit can reach high eccentricity. We…

Solar and Stellar Astrophysics · Physics 2021-08-04 Stephen H. Lubow

The double coplanar pendulum is an example of the coexistence of regular and chaotic dynamics for equal energy values but different initial conditions. Regular trajectories predominate for low energies; as the energy is increased, the…

Chaotic Dynamics · Physics 2023-12-22 Santiago Cabrera , Edson D. Leonel , Arturo C. Marti

We present the to-date largest parameter space exploration of binaries in circumbinary disks (CBDs), deriving orbital evolution prescriptions for eccentric, unequal mass binaries from our suite of hydrodynamic simulations. In all cases,…

High Energy Astrophysical Phenomena · Physics 2023-04-26 Magdalena Siwek , Rainer Weinberger , Lars Hernquist

In the framework of the planar restricted three body problem we study a considerable number of resonances associated to the Kuiper Belt dynamics and located between 30 and 48 a.u. Our study is based on the computation of resonant periodic…

Astrophysics · Physics 2015-06-24 George Voyatzis , Thomas Kotoulas
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