J. Laskar, Large scale chaos in the solar system, Astronomy and Astrophysics 287 (1994), L9-L12. Home/Search Document Not in Database Summary Related Articles Check |
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A Brief Survey of Issues Relating to the Reliability of Simulation .. - Hayes (Correct)
....other examples of unpredictable behaviour of a numerical solution in comparison with the solution produced by enclosure methods. Based on these results, they question whether true solutions of the Lorenz equations, or even of celestial mechanical systems that are generally believed to be chaotic [81, 78, 52], are in fact chaotic. They further use this result to claim that shadowing results for ODEs are practically useless since, they (erroneously) claim, there is no iron clad guarantee of a bound on local error. This is simply not true for systems for which the right hand side of the ODE is ....
Jaques Laskar. Large-scale chaos in the solar system. Astronomy and Astrophysics, 287L:9--12, 1994.
From Sir Isaac to the Sloan Survey Calculating the.. - Lake, Quinn, Richardson (1997) (2 citations) (Correct)
....trajectory onto a plane as well as from a separatrix. Understanding the source of Solar System chaos awaits an analytical demonstration that the resonances involved are sufficiently strong and close for resonance overlap. Nonetheless, the Solar System is almost certainly chaotic. Laskar[24] looked at the fate of Mercury and estimates the chance of ejection in the next few billion years approaches 50 . Our belief in the regularity of the Solar System would be dashed if the ejection of Mercury were in the historical record. There could have been a dozen or more planets just a few ....
J. Laskar, Large-scale chaos in the Solar System, Astron. Astrophys., 287, (1994), pp. L9--12
Parallel Gravity from the 9 Planet Problem to Billions .. - Lake, Quinn.. (1997) (Correct)
....ten years, it has become clear that the solar system is chaotic. However, the source of the chaos is unclear as the system of resonances is complex and the the Lyapunov exponent appear to be sensitive to fine details of initial conditions. Nonetheless, the Solar System is almost certainly chaotic. Laskar (1994) looked at the fate of Mercury and estimates the chance of ejection in the next few billion years approaches 50 . Our belief in the apparent regularity of the solar system may owe to our inability to know that before the last few ejections, there were 10, 11 or even 12 planets a few billion years ....
Laskar, J. 1994 Large-scale chaos in the solar system.
KAM Stability and Celestial Mechanics - Alessandra Celletti Universit (Correct)
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J. Laskar, Large scale chaos in the solar system, Astronomy and Astrophysics 287 (1994), L9-L12.
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