Origin of chaos in the Prometheus-Pandora system

@article{Goldreich2003OriginOC,
  title={Origin of chaos in the Prometheus-Pandora system},
  author={P. Goldreich and N. Rappaport},
  journal={Icarus},
  year={2003},
  volume={166},
  pages={320-327}
}
  • P. Goldreich, N. Rappaport
  • Published 2003
  • Physics
  • Icarus
    • 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… CONTINUE READING
    View PDF on arXiv
    33 Citations
    Highly Influential Citations
    5
    Background Citations
    11
    Methods Citations
    2

    Tables from this paper

    Tables

    33 Citations
    Citation Type

    Citation Type

    Adiabatic chaos in the Prometheus–Pandora system
    • 12
    • PDF
    Understanding the behavior of Prometheus and Pandora
    • 17
    • PDF
    On the rotational dynamics of Prometheus and Pandora
    • 9
    • Highly Influenced
    • PDF
    Dynamical Influences on the Orbits of Prometheus and Pandora
    • 20
    An unaccounted component on the Prometheus and Pandora offset angular positions
    • 1
    Prometheus and Pandora: masses and orbital positions during the Cassini tour
    • 23
    • Highly Influenced
    • PDF
    Orbital Dynamics of Minor Bodies
    RESONANCES, CHAOS, AND SHORT-TERM INTERACTIONS AMONG THE INNER URANIAN SATELLITES
    • 12
    Origin of the chaotic motion of the Saturnian satellite Atlas
    • 2
    • Highly Influenced
    • PDF
    A Librational Model for the Propeller Blériot in the Saturnian Ring System
    • 4
    • PDF

    References

    SHOWING 1-10 OF 10 REFERENCES
    Chaotic motions of Prometheus and Pandora
    • 33
    • PDF
    Saturn’s wayward shepherds: the peregrinations of Prometheus and Pandora
    • 49
    Solar system dynamics
    • 2,120
    • Highly Influential
    • PDF
    Unsolved problems in planetary ring dynamics
    • 63
    Test Particle Motion around an Oblate Planet
    • 40
    Gravity field of the Saturnian system from Pioneer and Voyager tracking data
    • 133
    New observations of Saturn's coorbital satellites
    • 65
    Shapes of small satellites
    • 87
    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