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A recent occultation measurement of the dwarf planet Haumea (Ortiz et al. 2017) revealed an elongated shape with the longest axis comparable to Pluto's mean diameter. The chords also indicate a ring around Haumea's equatorial plane, where…

Earth and Planetary Astrophysics · Physics 2018-11-26 T. Müller , Cs. Kiss , V. Ali-Lagoa , J. L. Ortiz , E. Lellouch , P. Santos-Sanz , S. Fornasier , G. Marton , M. Mommert , A. Farkas-Takacs , A. Thirouin , E. Vilenius

Among the growing number of small body rings in the solar system, the ring of Haumea has a special status as it is likely suitable for direct imaging in the visible and submillimeter wavelengths. In this paper, we highlight its sole…

Earth and Planetary Astrophysics · Physics 2024-12-10 Csilla Kalup , László Molnár , Csaba Kiss

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 study the dynamics of a two-planet system, which evolves being in a $1/1$ mean motion resonance (co-orbital motion) with non-zero mutual inclination. In particular, we examine the existence of bifurcations of periodic orbits from the…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis , Harry Varvoglis

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

Earth and Planetary Astrophysics · Physics 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

The transneptunian region of the solar system is populated by a wide variety of icy bodies showing great diversity. The dwarf planet (136108) Haumea is among the largest TNOs and displays a highly elongated shape and hosts two moons,…

Earth and Planetary Astrophysics · Physics 2016-09-07 F. Gourgeot , B. Carry , C. Dumas , F. Vachier , F. Merlin , P. Lacerda , M. A. Barucci , J. Berthier

Using precise relative astrometry from the Hubble Space Telescope and the W. M. Keck Telescope, we have determined the orbits and masses of the two dynamically interacting satellites of the dwarf planet (136108) Haumea, formerly 2003 EL61.…

Earth and Planetary Astrophysics · Physics 2014-11-18 Darin Ragozzine , Michael E. Brown

The dwarf planet Haumea has two large satellites, Namaka and Hi'iaka, which orbit at relatively large separations. Both moons have significant eccentricities and inclinations, in a pattern that is consistent with a past orbital resonance…

Earth and Planetary Astrophysics · Physics 2015-06-16 Matija Ćuk , Darin Ragozzine , David Nesvorný

Recently, it has been reported the discovery of a dense ring around the trans-Neptunian object 50000 Quaoar. The ring particles seem to be very close to the 6/1 mean motion resonance with Weywot, the only known satellite in the system. In…

Earth and Planetary Astrophysics · Physics 2023-08-15 Adrián Rodríguez , Bruno Morgado , Nelson Callegari

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

Applying the technique of dynamical maps we study the orbital stability of test particles in the Solar System in the space (a,e,i) defined by 0.1<a<38 au, 0<e<0.9 and 0<i<180 identifying the unstable and stable regions. We find stable…

Earth and Planetary Astrophysics · Physics 2019-05-29 Tabare Gallardo

Generally, the oblateness of a planet or moon is what causes rings to settle into its equatorial plane. However, the recent suggestion that a ring system might exist (or have existed) about Rhea, a moon whose shape includes a strong prolate…

Earth and Planetary Astrophysics · Physics 2015-04-30 Antoine Lehébel , Matthew S. Tiscareno

The recently discovered planetary system in the binary GamCep was studied concerning its dynamical evolution. We confirm that the orbital parameters found by the observers are in a stable configuration. The primary aim of this study was to…

Astrophysics · Physics 2009-11-07 R. Dvorak , E. Pilat-Lohinger , B. Funk , F. Freistetter

Haumea, thought to be the Kuiper Belt's 3rd most massive object, has a fast 3.92 hr rotational period, resulting in its shape as a triaxial ellipsoid. Here, we make the first detailed predictions of Haumea's surface morphology, considering…

Earth and Planetary Astrophysics · Physics 2024-06-14 George D McDonald , Lujendra Ojha

Recently, the first collisional family was identified in the trans-Neptunian belt. The family consists of Haumea and at least ten other ~100km-sized trans-Neptunian objects (TNOs) located in the region a = 42 - 44.5 AU. In this work, we…

Earth and Planetary Astrophysics · Physics 2012-12-27 Patryk Sofia Lykawka , Jonathan Horner , Tadashi Mukai , Akiko M. Nakamura

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

We have numerically explored the stable planetary geometry for the multiple systems involved in a 2:1 mean motion resonance, and herein we mainly study the HD 82943 system by employing two sets of the orbital parameters (Mayor et al. 2004;…

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

The restricted three-body problem describes the motion of a massless particle under the influence of two primaries of masses $1-\mu$ and $\mu$ that circle each other with period equal to $2\pi$. For small $\mu$, a resonant periodic motion…

Dynamical Systems · Mathematics 2014-08-28 D. Viswanath

In a recent paper it was reported a planetary system around the star HD60532, composed by two giant planets in a possible 3:1 mean motion resonance, that should be confirmed within the next decade. Here we show that the analysis of the…

Earth and Planetary Astrophysics · Physics 2009-11-13 J. Laskar , A. C. M. Correia

In the framework of the planar restricted three body problem we study a considerable number of resonances associated to the Kuiper Belt dynamics and located between 30 and 48 a.u. Our study is based on the computation of resonant periodic…

Astrophysics · Physics 2015-06-24 George Voyatzis , Thomas Kotoulas