The origin of chaos in the outer solar system

@article{Murray1999TheOO,
  title={The origin of chaos in the outer solar system},
  author={Murray and Holman},
  journal={Science},
  year={1999},
  volume={283 5409},
  pages={
          1877-81
        }
}
  • Murray, Holman
  • Published 18 March 1999
  • Physics, Medicine
  • Science
Classical analytic theories of the solar system indicate that it is stable, but numerical integrations suggest that it is chaotic. This disagreement is resolved by a new analytic theory. The theory shows that the chaos among the jovian planets results from the overlap of the components of a mean motion resonance among Jupiter, Saturn, and Uranus, and provides rough estimates of the Lyapunov time (10(7) years) and the dynamical lifetime of Uranus (10(18) years). The jovian planets must have… Expand

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References

SHOWING 1-10 OF 47 REFERENCES
A numerical experiment on the chaotic behaviour of the Solar System
LAPLACE and Lagrange made an essential contribution to the study of the stability of the Solar System by proving analytically that, to first order in the masses, inclinations and eccentricities ofExpand
Numerical Evidence That the Motion of Pluto Is Chaotic
TLDR
This integration indicates that the long-term motion of the planet Pluto is chaotic, and nearby trajectories diverge exponentially with an e-folding time of only about 20 million years. Expand
Migrating planets
TLDR
A planet orbiting in a disk of planetesimals can experience an instability in which it migrates to smaller orbital radii, which may explain the presence of Jupiter-mass objects in small orbits around nearby stars. Expand
The origin of Pluto's peculiar orbit
THE origin of Pluto's unusual orbit—the most eccentric and inclined of all the planets—remains a mystery. The orbits of Pluto and Neptune overlap, but close approaches of these two planets areExpand
Some dynamical aspects of the accretion of Uranus and Neptune: The exchange of orbital angular momentum with planetesimals
Abstract The final stage of the accretion of Uranus and Neptune is numerically investigated. The four Jovian planets are considered with Jupiter and Saturn assumed to have reached their presentExpand
Symplectic maps for the N-body problem.
The present study generalizes the mapping method of Wisdom (1982) to encompass all gravitational n-body problems with a dominant central mass. The rationale for the generalized mapping method isExpand
A Planetary Companion to 70 Virginis
An extremely low mass companion to the solar-type star 70 Virginis is inferred from the observed periodic Doppler reflex motion of the primary during 8 yr. The minimum mass (M2 sin i) of 70 Vir "B"Expand
A Jupiter-mass companion to a solar-type star
The presence of a Jupiter-mass companion to the star 51 Pegasi is inferred from observations of periodic variations in the star's radial velocity. The companion lies only about eight millionExpand
A Survey for Circumstellar Disks around Young Stellar Objects
Results are presented from a survey for 1.3 mm radiation toward 86 stars in the Taurus-Auriga dark clouds, including classical T Tauri stars, stars in T associations, and a few weak emission-lineExpand
Disk-Satellite Interactions
We calculate the rate at which angular momentum and energy are transferred between a disk and a satellite which orbit the same central mass. A satellite which moves on a circular orbit exerts aExpand
...
1
2
3
4
5
...