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We have presented in this communication a new solving procedure for the dynamics of non-rigid asteroid rotation, considering the final spin state of rotation for a small celestial body (asteroid). The last condition means the ultimate…

General Physics · Physics 2020-02-21 Sergey V. Ershkov , Dmytro Leshchenko

This paper deals with the rotation and figure evolution of a planet near the 3/2 spin-orbit resonance and the exploration of a new formulation of the creep tide theory (Folonier et al. 2018). This new formulation is composed by a system of…

Earth and Planetary Astrophysics · Physics 2020-01-08 Gabriel O. Gomes , Hugo A. Folonier , Sylvio Ferraz-Mello

The motion of a spinning particle in the exterior of a Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation, including the spin-curvature coupling to leading…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Yi-Ping Chen , Tien Hsieh , Da-Shin Lee

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a…

Astrophysics · Physics 2009-02-03 Julie Gayon , Eric Bois

We integrate the orbital solutions of the planets orbiting 55 Cnc. In the simulations, we find that not only three resonant arguments $\theta_{1}=\lambda_{1}-3\lambda_{2}+2\tilde\omega_{1}$,…

Astrophysics · Physics 2007-05-23 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

Many extrasolar systems possessing planets in mean-motion resonance or resonant chain have been discovered to date. The transit method coupled with transit timing variation analysis provides an insight into the physical and orbital…

Earth and Planetary Astrophysics · Physics 2020-08-19 Kyriaki I. Antoniadou , Anne-Sophie Libert

In determining Mercury's core structure from its rotational properties, the value of the normalized moment of inertia, $C/MR^2$, from the location of Cassini 1 is crucial. If Mercury's spin axis occupies Cassini state 1, its position…

Astrophysics · Physics 2007-05-23 S. J. Peale

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

Earth and Planetary Astrophysics · Physics 2015-09-16 Valeri V. Makarov

Recently, the spinning tethered system is regarded as a typical and fundamental space structure attracting great interest of the aerospace engineers, and has been discussed primarily for specific space missions in past decades, including…

Classical Physics · Physics 2014-03-11 Hexi Baoyin , Yang Yu , Junfeng Li

We consider the evolution of a binary system interacting due to tidal effects without restriction on the orientation of the orbital, and where significant, spin angular momenta, and orbital eccentricity. We work in the low tidal forcing…

Solar and Stellar Astrophysics · Physics 2020-11-11 P. B. Ivanov , J. C. B. Papaloizou

We investigate the spin behavior of close-in rocky planets and the implications for their orbital evolution. Considering that the planet rotation evolves under simultaneous actions of the torque due to the equatorial deformation and the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Adrián Rodríguez , Nelson Callegari , Tatiana A. Michtchenko , Hauke Hussmann

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

The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines…

Earth and Planetary Astrophysics · Physics 2015-09-16 Konstantin Batygin , Alessandro Morbidelli

Stability of Hilda Asteroids in the solar system around the 3:2 resonance point is analyzed in terms of the Sun-Jupiter-asteroid elliptic restricted three-body problem. We show that the Hamiltonian of the system is well-approximated by a…

Earth and Planetary Astrophysics · Physics 2024-09-10 Kosuke Asano , Kenichi Noba , Tomio Petrosky

We analyze radio tracking data obtained during 1311 orbits of the MESSENGER spacecraft in the period March 2011 to April 2014. A least-squares minimization of the residuals between observed and computed values of two-way range and Doppler…

Earth and Planetary Astrophysics · Physics 2016-10-19 Ashok Kumar Verma , Jean-Luc Margot

A large fraction of known exoplanets have short orbital periods where tidal excitation of gravity waves within the host star causes the planets' orbits to decay. We study the effects of tidal resonance locking, in which the planet locks…

Earth and Planetary Astrophysics · Physics 2021-09-08 Linhao Ma , Jim Fuller

The rotational evolution of Mercury's mantle and its core under conservative and dissipative torques is important for understanding the planet's spin state. Dissipation results from tides and viscous, magnetic and topographic core--mantle…

Earth and Planetary Astrophysics · Physics 2015-06-18 Stanton J. Peale , Jean-Luc Margot , Steven A Hauck , II , Sean C. Solomon

We describe the current state of knowledge about Mercury's interior structure. We review the available observational constraints, including mass, size, density, gravity field, spin state, composition, and tidal response. These data enable…

Earth and Planetary Astrophysics · Physics 2020-02-11 Jean-Luc Margot , Steven A. Hauck , Erwan Mazarico , Sebastiano Padovan , Stanton J. Peale

We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such…

Earth and Planetary Astrophysics · Physics 2015-06-11 Valeri V. Makarov , Michael Efroimsky