Origin of chaos in the Prometheus-Pandora system

  title={Origin of chaos in the Prometheus-Pandora system},
  author={Peter Goldreich and Nicole J. Rappaport},
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 frequency. Libration widths of the individual components exceed the splitting resulting in resonance overlap which causes the chaos. A single degree of freedom model captures the essential features of the chaotic dynamics. Mean motions of Prometheus and Pandora… Expand

Tables from this paper

Adiabatic chaos in the Prometheus–Pandora system
The chaotic orbital motion of Prometheus and Pandora, the 16th and 17th satellites of Saturn, is studied. Chaos in their orbital motion, as found by Goldreich & Rappaport and Renner & Sicardy, is dueExpand
Understanding the behavior of Prometheus and Pandora
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 theirExpand
On the rotational dynamics of Prometheus and Pandora
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 synchronousExpand
Dynamical Influences on the Orbits of Prometheus and Pandora
We present the results of a numerical and analytical study of the orbits of the Saturnian satellites Prometheus and Pandora, including the perturbing effects of other moons. The full equations ofExpand
An unaccounted component on the Prometheus and Pandora offset angular positions
Near the turning of this millennium (1996–2004) it was detected that Prometheus and Pandora were not in their angular positions as predicted from their discoveries by the Voyager spacecrafts (1980).Expand
Prometheus and Pandora: masses and orbital positions during the Cassini tour
Abstract Hubble Space Telescope (HST) images of Prometheus and Pandora show longitude discrepancies of about 20° with respect to the Voyager ephemerides, with an abrupt change in mean motion at theExpand
Orbital Dynamics of Minor Bodies
In studies of orbital dynamics of celestial bodies it is also usually possible to explain chaotic manifestations by using paradigmatic models of interaction and overlap of non-linear resonances,Expand
The Portia group of Uranian satellites, representing 9 of the planet’s 13 tiny innermost moons, form a densely packed dynamical system. Hubble Space Telescope observations indicate that their orbitsExpand
Origin of the chaotic motion of the Saturnian satellite Atlas
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 aExpand
A Librational Model for the Propeller Blériot in the Saturnian Ring System
The reconstruction of the orbital evolution of the propeller structure Bl\'eriot orbiting in Saturn's A ring from recurrent observations in Cassini ISS images yielded a considerable offset motionExpand


Chaotic motions of Prometheus and Pandora
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 andExpand
Saturn’s wayward shepherds: the peregrinations of Prometheus and Pandora
Abstract Saturn’s narrow F ring is flanked by two nearby small satellites, Prometheus and Pandora, discovered in Voyager images taken in 1980 and 1981 (Synnott et al., 1983 , Icarus 53, 156–158).Expand
Solar system dynamics
The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all theExpand
Unsolved problems in planetary ring dynamics
Voyager photographic data are used for microscopic and macroscopic analyses of the dynamics of the Saturn rings. Attention is given to particle collisions, local velocity dispersion, the particleExpand
Test Particle Motion around an Oblate Planet
Abstract Ring flow kinematic features, such as, e.g., the shape of the narrow rings of Uranus or the streamlines of density waves of Saturn's rings, can be analyzed by fitting ring occultation dataExpand
Gravity field of the Saturnian system from Pioneer and Voyager tracking data
Data sets from the Voyager and Pioneer flybys of Jupiter and the Galilean satellites are employed to characterize the Jovian magnetic field and the effects of the Io torus on transmissions. BothExpand
New observations of Saturn's coorbital satellites
Abstract We present observations of the Saturnian coorbital satellites, Janus and Epimetheus, obtained with the Caltech Cassegrain infrared camera at the Palomar Hale telescope in July and AugustExpand
Shapes of small satellites
The accurate measurement of limb coordinates on small satellite is the major technique for evaluating their sizes and shapes in the absence of good stereoscopic image coverage. The shapes ofExpand
Dermott 2001: Solar System Dynamics
  • 2001
Tables of Prometheus and Pandora Planetocentric Mean Elements at Julian Ephemeris Date 2444839.6682 Referred to the Earth Mean Equator and Equinox of J2000 System
  • Jacobson
  • 2001