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Recent HST images of the Saturnian satellites Prometheus and Pandora show that their longitudes deviate from predictions of ephemerides based on Voyager images. Currently Prometheus is lagging and Pandora leading these predictions by…

Astrophysics · Physics 2007-05-23 Peter Goldreich , Nicole Rappaport

We revisit the dynamics of Prometheus and Pandora, two small moons flanking Saturn's F ring. Departures of their orbits from freely precessing ellipses result from mutual interactions via their 121:118 mean motion resonance. Motions are…

Astrophysics · Physics 2009-11-11 Alison J. Farmer , Peter Goldreich

Possible rotation states of two satellites of Saturn, Prometheus (S16) and Pandora (S17), are studied by means of numerical experiments. The attitude stability of all possible modes of synchronous rotation and the motion close to these…

Earth and Planetary Astrophysics · Physics 2013-02-19 A. V. Melnikov , I. I. Shevchenko

We numerically investigate the long-term dynamics of the Saturn's small satellites Methone (S/2004 S1), Anthe (S/2007 S4) and Pallene (S/2004 S2). In our numerical integrations, these satellites are disturbed by non-spherical shape of…

Earth and Planetary Astrophysics · Physics 2015-05-14 Nelson Callegari , Tadashi Yokoyama

We present numerically-derived orbits and mass estimates for the inner Saturnian satellites, Atlas, Prometheus, Pandora, Janus and Epimetheus from a fit to 2580 new Cassini ISS astrometric observations spanning February 2004 to August 2013.…

Earth and Planetary Astrophysics · Physics 2015-06-22 N. J. Cooper , S. Renner , C. D. Murray , M. W. Evans

The dynamical features of the irregular satellites of the giant planets argue against an in-situ formation and are strongly suggestive of a capture origin. Since the last detailed investigations of their dynamics, the total number of…

Earth and Planetary Astrophysics · Physics 2010-11-29 D. Turrini , F. Marzari , H. Beust

We revisit the dynamics of Atlas. Using Cassini ISS astrometric observations spanning February 2004 to August 2013, Cooper et al. (2015) found evidence that Atlas is currently perturbed by both a 54:53 corotation eccentricity resonance…

Earth and Planetary Astrophysics · Physics 2016-04-27 S. Renner , N. J. Cooper , M. El Moutamid , B. Sicardy , A. Vienne , C. D. Murray , M. Saillenfest

We demonstrate that the chaotic orbits of Prometheus and Pandora are due to interactions associated with the 121:118 mean motion resonance. Differential precession splits this resonance into a quartet of components equally spaced in…

Astrophysics · Physics 2015-06-24 Peter Goldreich , Nicole Rappaport

The Saturnian coorbital satellites Janus and Epimetheus present a unique dynamical configuration in the Solar System, because of high-amplitude horseshoe orbits, due to a mass ratio of order unity. As a consequence, they swap their orbits…

Earth and Planetary Astrophysics · Physics 2015-05-14 B. Noyelles

This study comprehensively analyzes Atlas's current orbit, focusing on the secular and resonant perturbations caused by Prometheus, Pandora, and Saturn's oblateness. We performed numerical integration of the exact equations of motion for a…

Earth and Planetary Astrophysics · Physics 2025-01-27 Demétrio Tadeu Ceccatto , Nelson Callegari , Gabriel Teixeira Guimarães , Karyna Gimenez

The co-orbital satellites of Saturn, Janus and Epimetheus, swap radial positions every 4.0 years. Since \textit{Cassini} has been in orbit about Saturn, this has occurred on 21 January in 2006, 2010, and 2014. We describe the effects of…

Earth and Planetary Astrophysics · Physics 2016-07-19 Morgan E. Rehnberg , Larry W. Esposito , Zarah L. Brown , Nicole Albers , Miodrag Sremčević , Glen R. Stewart

Epimetheus, a small moon of Saturn, has a rotational libration (an oscillation about synchronous rotation) of 5.9 +- 1.2 degrees, placing Epimetheus in the company of Earth's Moon and Mars' Phobos as the only natural satellites for which…

Earth and Planetary Astrophysics · Physics 2013-02-25 Matthew S. Tiscareno , Peter C. Thomas , Joseph A. Burns

Popular science article associated with the work `On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits" (arXiv:1806.07262) from the same authors. Janus and Epimetheus are two moons of…

History and Overview · Mathematics 2018-07-27 Alexandre Pousse , Laurent Niederman , Philippe Robutel

We present an analytical model to study the dynamics of the outer edge of Saturn's A ring. The latter is influenced by 7:6 mean motion resonances with Janus and Epimetheus. Because of the horseshoe motion of the two co-orbital moons, the…

Earth and Planetary Astrophysics · Physics 2019-07-17 N. C. S. Araujo , S. Renner , N. J. Cooper , M. El Moutamid , C. D. Murray , B. Sicardy , E. Vieira Neto

The dynamics of Saturn's F Ring have been a matter of curiosity ever since Voyagers 1 and 2 sent back pictures of the ring's unusual features. Some of these images showed three distinct ringlets with the outer two displaying a kinked and…

Space Physics · Physics 2007-05-23 L. S. Matthews , T. W. Hyde

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

We perform numerical simulations to explore the dynamical evolution of the HD 82943 planetary system. By simulating diverse planetary configurations, we find two mechanisms of stabilizing the system: the 2:1 mean motion resonance between…

Astrophysics · Physics 2008-11-26 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu , H. Nakai

Aegaeon, Methone, Anthe, and Pallene are four Saturnian small moons, discovered by the Cassini spacecraft. Although their orbital characterization has been carried on by a number of authors, their long-term evolution has not been studied in…

Earth and Planetary Astrophysics · Physics 2017-08-02 Marco A. Muñoz-Gutiérrez , Silvia Giuliatti Winter

The Centaurs are a transient population of small bodies in the outer solar system whose orbits are strongly chaotic. These objects typically suffer significant changes of orbital parameters on timescales of a few thousand years, and their…

Earth and Planetary Astrophysics · Physics 2015-05-13 B. L. Bailey , Renu Malhotra

According to Munoz-Gutierrez et al. (2015) the orbit of comet 1P/Halley is chaotic with a surprisingly small Lyapunov time scale of order its orbital period. In this work we analyse the origin of chaos in Halley's orbit and the growth of…

Earth and Planetary Astrophysics · Physics 2016-06-23 Tjarda C. N. Boekholt , F. Inti Pelupessy , Douglas C. Heggie , Simon F. Portegies Zwart
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