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Related papers: Spin-orbit coupling and chaotic rotation for circu…

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The rotation of asymmetric bodies in eccentric Keplerian orbits can be chaotic when there is some overlap of spin-orbit resonances. Here we show that the rotation of two coorbital bodies (two planets orbiting a star or two satellites of a…

Earth and Planetary Astrophysics · Physics 2014-10-14 Philippe Robutel , A. C. M. Correia , Adrien Leleu

Coorbital bodies are observed around the Sun sharing their orbits with the planets, but also in some pairs of satellites around Saturn. The existence of coorbital planets around other stars has also been proposed. For close-in planets and…

Earth and Planetary Astrophysics · Physics 2013-12-04 Alexandre C. M. Correia , Philippe Robutel

The presence of a co-orbital companion induces the splitting of the well known Keplerian spin-orbit resonances. It leads to chaotic rotation when those resonances overlap.

Earth and Planetary Astrophysics · Physics 2015-07-15 Adrien Leleu , Philippe Robutel , A. C. M. Correia

Permanently deformed objects in binary systems can experience complex rotation evolution, arising from the extensively studied effect of spin-orbit coupling as well as more nuanced dynamics arising from spin-spin interactions. The ability…

Earth and Planetary Astrophysics · Physics 2021-06-02 Darryl Seligman , Konstantin Batygin

Planets and satellites orbiting a binary system exist in the solar system and extrasolar planetary systems. Their orbits can be significantly different from Keplerian orbits, if they are close to the binary and the secondary-to-primary mass…

Earth and Planetary Astrophysics · Physics 2020-06-03 Jason Man Yin Woo , Man Hoi Lee

We develop a fourth-order numerical integrator to simulate the coupled spin and orbital motions of two rigid bodies having arbitrary mass distributions under the influence of their mutual gravitational potential. We simulate the dynamics of…

Earth and Planetary Astrophysics · Physics 2015-02-06 Shantanu P. Naidu , Jean-Luc Margot

We investigate the orbits of compact binary systems during the final inspiral period before coalescence by integrating numerically the second-order post-Newtonian equations of motion. We include spin-orbit and spin-spin coupling terms,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jeremy D. Schnittman , Frederic A. Rasio

We study the spin evolution of close-in planets in multi-body systems and present a very general formulation of the spin-orbit problem. This includes a simple way to probe the spin dynamics from the orbital perturbations, a new method for…

Earth and Planetary Astrophysics · Physics 2021-12-30 Alexandre C. M. Correia , Jean-Baptiste Delisle

We present a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. We construct sequences of circular-orbit binaries of varying separation, keeping the rest mass…

General Relativity and Quantum Cosmology · Physics 2016-11-09 P. Marronetti , S. L. Shapiro

For a satellite with an irregular shape, which is the common shape among asteroids, the well-known spin-orbit resonance problem could be changed to a spin-orbit coupling problem since a decoupled model does not accurately capture the…

Earth and Planetary Astrophysics · Physics 2022-12-14 Mahdi Jafari Nadoushan

While numerous planetary and asteroid satellites show evidence for non-trivial rotation states, none are as emblematic as Hyperion, which has long been held as the most striking example of chaotic spin-orbit evolution in the Solar System.…

Earth and Planetary Astrophysics · Physics 2024-10-28 Max Goldberg , Konstantin Batygin

The majority of the discovered transiting circumbinary planets are located very near the innermost stable orbits permitted, raising questions about the origins of planets in such perturbed environments. Most favored formation scenarios…

Earth and Planetary Astrophysics · Physics 2019-06-12 Adam P. Sutherland , Kaitlin M. Kratter

We investigate the problem of the typical rotation states of the small planetary satellites from the viewpoint of the dynamical stability of their rotation. We show that the majority of the discovered satellites with unknown rotation…

Earth and Planetary Astrophysics · Physics 2015-05-13 Alexander V. Melnikov , Ivan I. Shevchenko

This HDR-thesis is devoted to the study of the rotation of the natural satellites of the giant planets and of Mercury. These bodies have a resonant rotation. Most of the natural satellites rotate synchronously, showing the same hemisphere…

Earth and Planetary Astrophysics · Physics 2015-02-06 Benoît Noyelles

Pluto's system of 5 known satellites are in a puzzling orbital configuration. Each of the four small satellites are on low-eccentricity and low-inclination orbits situated near a mean motion resonance with the largest satellite Charon. The…

Earth and Planetary Astrophysics · Physics 2015-05-07 Kevin J. Walsh , Harold F. Levison

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

This paper studies the secondary's rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem composed of a spherical primary plus a…

Earth and Planetary Astrophysics · Physics 2020-02-19 Haishuo Wang , Xiyun Hou

We present the dynamical structure of the phase space of the planar planetary 2/1 mean-motion resonance (MMR). Inside the resonant domain, there exist two families of periodic orbits, one associated to the librational motion of the critical…

Earth and Planetary Astrophysics · Physics 2011-12-07 Tatiana A. Michtchenko , Sylvio Ferraz-Mello , Cristian Beauge

We describe a fast, approximate method to characterize the orbits of satellites around a central binary in numerical simulations. A goal is to distinguish the free eccentricity -- random motion of a satellite relative to a dynamically cool…

Earth and Planetary Astrophysics · Physics 2020-12-23 Benjamin C. Bromley , Scott J. Kenyon

Using a large suite of n-body simulations, we explore the discovery space for new satellites in the Pluto-Charon system. For the adopted masses and orbits of the known satellites, there are few stable prograde or polar orbits with semimajor…

Earth and Planetary Astrophysics · Physics 2019-09-11 Scott J. Kenyon , Benjamin C. Bromley
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