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We investigate the general interaction between an eccentric planet and a coplanar debris disc of the same mass, using analytical theory and n-body simulations. Such an interaction could result from a planet-planet scattering or merging…

Earth and Planetary Astrophysics · Physics 2015-09-23 Tim Pearce , Mark Wyatt

This work explores the dynamic properties of test particles surrounding a distorted, deformed compact object. The astrophysical motivation was to choose such background, which could constitute a more reasonable model of a real situation…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova

Haumea is the third-largest of the five officially recognized dwarf planets and one of the four that reside in the trans-Neptunian region. It is among the most exotic bodies in the Solar System, with an exceptionally rapid rotation, a…

In some planetary systems, the orbital periods of two of its members present a commensurability, usually known by mean-motion resonance. These resonances greatly enhance the mutual gravitational influence of the planets. As a consequence,…

Earth and Planetary Astrophysics · Physics 2019-09-18 Alexandre C. M. Correia , Jean-Baptiste Delisle , Jacques Laskar

The multi-planetary system HD128311 hosts at least two planets. Its dynamical formation history has been studied extensively in the literature. We reanalyse the latest radial velocity data for this system with the affine-invariant Markov…

Earth and Planetary Astrophysics · Physics 2015-01-16 Hanno Rein

The phase space of a typical Hamiltonian system contains both chaotic and regular orbits, mixed in a complex, fractal pattern. One oft-studied phenomenon is the algebraic decay of correlations and recurrence time distributions. For…

Chaotic Dynamics · Physics 2015-08-19 Or Alus , Shmuel Fishman , James D. Meiss

We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbits with Jacobi constant close to 3 in the restricted circular planar three-body problem where the secondary and primary masses have mass…

Astrophysics · Physics 2009-11-07 Margaret Pan , Re'em Sari

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

We show that an extra complex constant of motion with an analytic form can exist in the neighborhood of some discrete Wannier orbits of helium, when one includes retardation and self-interaction effects. The energies of these discrete…

chao-dyn · Physics 2007-05-23 Jayme De Luca

Context: In the early evolution of a planetary system, a pair of planets may be captured in a mean motion resonance while still embedded in their nesting circumstellar disk. Aims: The goal is to estimate the direction and amount of shift in…

Earth and Planetary Astrophysics · Physics 2018-03-21 F. Marzari

We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases.…

High Energy Physics - Theory · Physics 2010-12-13 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

The relationship between the boundaries for Hill and Lagrange stability in orbital element space is modified in the case of resonantly interacting planets. Hill stability requires the ordering of the planets to remain constant while…

Astrophysics · Physics 2019-08-19 Rory Barnes , Richard Greenberg

We investigate the resonance spectrum of the H\'enon-Heiles potential up to twice the barrier energy. The quantum spectrum is obtained by the method of complex coordinate rotation. We use periodic orbit theory to approximate the oscillating…

Chaotic Dynamics · Physics 2009-11-10 J. Kaidel , P. Winkler , M. Brack

Hi'iaka is the larger outer satellite of the dwarf planet Haumea. Using relative photometry from the Hubble Space Telescope and Magellan and a phase dispersion minimization analysis, we have identified the rotation period of Hi'iaka to be…

Multiple spin density waves and related vortex-type magnetic structures in the itinerant electron system with inversion symmetry have been investigated on the basis of the Hubbard model and the generalized Hartree-Fock approximation…

Strongly Correlated Electrons · Physics 2020-02-19 Yoshiro Kakehashi

In this work, we study the dynamics of two less massive objects moving around a central massive object, which are all embedded within a thin accretion disc. In addition to the gravitational interaction between these objects, the disc-object…

Earth and Planetary Astrophysics · Physics 2024-09-09 Huan Yang , Ya-Ping Li

The third Gaia data release includes a catalog of exoplanets and exoplanet candidates identified via the star's astrometric motion. This paper reports on tests for consistency between the Gaia two-body orbital solutions and precise Doppler…

Earth and Planetary Astrophysics · Physics 2022-10-26 Joshua N. Winn

We study a conspicuous ring-like structure with a radius of about 1.4 degrees which was observed with the Westerbork Synthesis Radio Telescope (WSRT) at 5 frequencies around 350 MHz. This ring is very prominent in Stokes Q and U, and less…

Astrophysics · Physics 2009-11-07 M. Haverkorn , P. Katgert , A. G. de Bruyn

High-precision interferometric measurements of pulsating stars help to characterize their close environment. In 1974, a close companion was discovered around the pulsating star beta Cep using the speckle interferometry technique and…

We perform an analytical study of the bifurcation of the halo orbits around the collinear points $L_1$, $L_2$, $L_3$ for the circular, spatial, restricted three--body problem. Following a standard procedure, we reduce to the center manifold…

Mathematical Physics · Physics 2016-01-20 Marta Ceccaroni , Alessandra Celletti , Giuseppe Pucacco