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The aim of this work is to provide an analytical model to characterize the equilibrium points and the phase space associated with the singly-averaged dynamics caused by the planetary oblateness coupled with the solar radiation pressure…

Earth and Planetary Astrophysics · Physics 2019-09-26 Elisa Maria Alessi , Camilla Colombo , Alessandro Rossi

The increasing threat raised by space debris led to the development of different mathematical models and approaches to investigate the dynamics of small particles orbiting around the Earth. Such models and methods strongly depend on the…

Earth and Planetary Astrophysics · Physics 2017-04-05 Alessandra Celletti , Christos Efthymiopoulos , Fabien Gachet , Catalin Gales , Giuseppe Pucacco

Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

We study the resonant dynamics in a simple one degree of freedom, time dependent Hamiltonian model describing spin-orbit interactions. The equations of motion admit periodic solutions associated with resonant motions, the most important…

Earth and Planetary Astrophysics · Physics 2016-07-29 Ioannis Gkolias , Alessandra Celletti , Christos Efthymiopoulos , Giuseppe Pucacco

The aim of this work is to highlight the crucial role that orbital resonances associated with solar radiation pressure can have in Low Earth Orbit. We review the corresponding literature, and provide an analytical tool to estimate the…

Earth and Planetary Astrophysics · Physics 2019-09-25 E. M. Alessi , G. Schettino , A. Rossi , G. B. Valsecchi

The aim of this work is to provide new insights on the dynamics associated to the resonances which arise as a consequence of the coupling of the effect due to the oblateness of the Earth and the Solar Radiation Pressure (SRP) effect for an…

Earth and Planetary Astrophysics · Physics 2022-12-14 Roberto Paoli

Solar radiation pressure can have a substantial long-term effect on the orbits of high area-to-mass ratio spacecraft, such as solar sails. We present a study of the coupling between radiation pressure and the gravitational perturbation due…

Earth and Planetary Astrophysics · Physics 2024-06-28 Martin Lara , Elena Fantino , Roberto Flores

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

Dynamical tide consists of various waves that can resonate with orbital motion. We test this coupling of dynamical tide and orbital motion using a simple two-dimensional shallow water model, which can be applied to a rocky planet covered…

Earth and Planetary Astrophysics · Physics 2025-02-04 Xing Wei

The emergence of orbital resonances among planets is a natural consequence of the early dynamical evolution of planetary systems. While it is well-established that convergent migration is necessary for mean-motion commensurabilities to…

Earth and Planetary Astrophysics · Physics 2023-04-05 Konstantin Batygin , Antoine C. Petit

We have carried out a numerical investigation of the coupled gravitational and non-gravitational perturbations acting on Earth satellite orbits in an extensive grid, covering the whole circumterrestrial space, using an appropriately…

Earth and Planetary Astrophysics · Physics 2019-04-12 Aaron J. Rosengren , Despoina K. Skoulidou , Kleomenis Tsiganis , George Voyatzis

In this work, the orbital evolution of these objects that are located in the geostationary orbit (GEO) is analyzed. Knowing this, the possibility of using a solar sail is considered to help to clean the space environment. The main natural…

Earth and Planetary Astrophysics · Physics 2023-07-26 Jean Paulo dos S. Carvalho , Rodolpho Vilhena de Moraes , Antonio Fernando Bertachini de A. Prado

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

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

Early dynamical evolution of close-in planetary systems is shaped by an intricate combination of planetary gravitational interactions, orbital migration, and dissipative effects. While the process of convergent orbital migration is expected…

Earth and Planetary Astrophysics · Physics 2019-05-01 Gabriele Pichierri , Konstantin Batygin , Alessandro Morbidelli

The dynamical evolution of binary asteroid systems is deeply influenced by spin-orbit resonances. However, their domains of influence and mutual interactions remain elusive, in particular in the space where multiple resonant modes coexist.…

Earth and Planetary Astrophysics · Physics 2026-05-15 Yuanzhe Zhang , Hanlun Lei

We study the dynamical evolution of a satellite orbiting outside of a companion spherical galaxy. The satellite is subject to a back-reaction force resulting from the density fluctuations excited in the primary stellar system. We evaluate…

Astrophysics · Physics 2009-10-30 M. Colpi

In nominal mission scenarios, geostationary satellites perform end-of-life orbit maneuvers to reach suitable disposal orbits, where they do not interfere with operational satellites. This research investigates the long-term orbit evolution…

Earth and Planetary Astrophysics · Physics 2021-04-06 Simone Proietti , Roberto Flores , Elena Fantino , Mauro Pontani

This work shows the dynamical instability that can happen to close-in satellites when planet oblateness is not accounted for in non-coplanar multiplanet systems. Simulations include two secularly interacting Jupiter-mass planets mutually…

Earth and Planetary Astrophysics · Physics 2015-06-23 Yu-Cian Hong , Matthew S. Tiscareno , Philip D. Nicholson , Jonathan I. Lunine

We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometric description an explicit formula for the period of the…

Chaotic Dynamics · Physics 2015-03-19 David Gomez-Ullate , Paolo Santini , Matteo Sommacal , Francesco Calogero

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , Alessandro Morbidelli
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