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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

In this work, we investigate the Earth-Moon system, as modeled by the planar circular restricted three-body problem, and relate its dynamical properties to the underlying structure associated with specific invariant manifolds. We consider a…

Chaotic Dynamics · Physics 2020-11-26 Vitor M. de Oliveira , Priscilla A. Sousa-Silva , Iberê L. Caldas

New Horizons mission observations show that the small satellites Styx, Nix, Kerberos and Hydra, of the Pluto-Charon system, have not tidally spun-down to near synchronous spin states and have high obliquities with respect to their orbit…

Earth and Planetary Astrophysics · Physics 2017-05-03 Alice C. Quillen , Fiona Nichols-Fleming , Yuan-Yuan Chen , Benoit Noyelles

Motivated by the current search for exomoons, this paper considers the stability of tidal equilibrium for hierarchical three-body systems containing a star, a planet, and a moon. In this treatment, the energy and angular momentum budgets…

Earth and Planetary Astrophysics · Physics 2016-08-31 Fred C. Adams , Anthony M. Bloch

This paper investigates the motion of a small particle moving near the triangular points of the Earth-Moon system. The dynamics are modeled in the Hill restricted 4-body problem (HR4BP), which includes the effect of the Earth and Moon as in…

Dynamical Systems · Mathematics 2024-02-29 Luke T. Peterson , Gavin Brown , Àngel Jorba , Daniel Scheeres

Space missions have discovered a large number of exoplanets evolving in (or close to) mean-motion resonances (MMRs) and resonant chains. Often, the published data exhibit very high uncertainties due to the observational limitations that…

Earth and Planetary Astrophysics · Physics 2022-05-25 Kyriaki I. Antoniadou , George Voyatzis

The Pluto-Charon system is a binary system, characterised by its high mass ratio and its tidally locked synchronous orbit. Surrounding the central binary, four satellites - Styx, Nix, Kerberos and Hydra - follow near-circular and near…

Earth and Planetary Astrophysics · Physics 2024-10-25 Baptiste Desoubrie , Alain Vienne

Saturn has a dynamically rich satellite system, which includes at least three orbital resonances between three pairs of moons: Mimas-Tethys 4:2, Enceladus-Dione 2:1, and Titan-Hyperion 4:3 mean-motion resonances. Studies of the orbital…

Earth and Planetary Astrophysics · Physics 2022-03-02 Matija Ćuk , Maryame El Moutamid

Simple theoretical calculations have suggested that small body impacts onto Pluto's newly discovered small satellites, Nix and Hydra, are capable of generating time-variable rings or dust sheets in the Pluto system. Using HST/ACS data…

Astrophysics · Physics 2008-11-26 A. J. Steffl , S. A. Stern

Understanding the dynamical structure of cislunar space beyond geosynchronous orbit is critical for both lunar exploration and for high-Earth-orbiting trajectories. In this study, we investigate the role of mean-motion resonances and their…

Earth and Planetary Astrophysics · Physics 2026-02-24 Bhanu Kumar , Anjali Rawat , Aaron J. Rosengren , Shane D. Ross

Lunar mean-motion resonances (MMRs) significantly shape cislunar dynamics beyond GEO, forming stable-unstable orbit pairs with corresponding intermingled chaotic and regular regions. The resonance zone is rigorously defined using the…

Earth and Planetary Astrophysics · Physics 2026-02-24 Anjali Rawat , Bhanu Kumar , Aaron J. Rosengren , Shane D. Ross

The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted three-body problem is numerically investigated.…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

A search for temporal changes on Pluto and Charon was motivated by (1) the discovery of young surfaces in the Pluto system that imply ongoing or recent geologic activity, (2) the detection of active plumes on Triton during the Voyager 2…

In 2015, the New Horizons spacecraft flew past Pluto and its moon Charon, providing the first clear look at the surface of Charon. New Horizons images revealed an ancient surface, a large, intricate canyon system, and many fractures, among…

The evolution of the five largest satellites of Uranus during the crossing of the 5/3 mean motion resonance between Ariel and Umbriel is strongly affected by chaotic motion. Studies with numerical integrations of the equations of motion and…

Earth and Planetary Astrophysics · Physics 2023-09-12 Sérgio R. A. Gomes , Alexandre C. M. Correia

Nowadays, many extrasolar planetary systems possessing at least one planet on a highly eccentric orbit have been discovered. In this work, we study the possible long-term stability of such systems. We consider the general three body problem…

Earth and Planetary Astrophysics · Physics 2016-12-09 Kyriaki I. Antoniadou , George Voyatzis

The planetary dynamics of $4/3$, $3/2$, $5/2$, $3/1$ and $4/1$ mean motion resonances is studied by using the model of the general three body problem in a rotating frame and by determining families of periodic orbits for each resonance.…

Earth and Planetary Astrophysics · Physics 2017-02-10 K. I. Antoniadou , G. Voyatzis

The results of an extensive numerical study of the periodic orbits of planar, elliptic restricted three-body planetary systems consisting of a star, an inner massive planet and an outer mass-less body in the external 1:2 mean-motion…

Astrophysics · Physics 2008-11-26 Nader Haghighipour , Jocelyn Couetdic , Ferenc Varadi , William B. Moore

We present a numerical study on the stability of all fourth- and fifth-order retrograde mean motion resonances (1/3, 3/1, 1/4, 4/1, 2/3, and 3/2) in the 3-body problem composed of a solar mass star, a Jupiter mass planet, and an additional…

Earth and Planetary Astrophysics · Physics 2023-03-14 Alan Cefali Signor , Gabriel Antonio Carita , Maria Helena Moreira Morais

Since 2013, dense and narrow rings are known around the small Centaur object Chariklo and the dwarf planet Haumea. Dense material has also been detected around the Centaur Chiron, although its nature is debated. This is the first time ever…

Earth and Planetary Astrophysics · Physics 2020-01-22 Bruno Sicardy , Stefan Renner , Rodrigo Leiva , Françoise Roques , Maryame El Moutamid , Pablo Santos-Sanz , Josselin Desmars