A numerical experiment on the chaotic behaviour of the solar system

Details A numerical experiment on the chaotic behaviour of the solar system A numerical experiment on the chaotic behaviour of the solar system

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989natur.338..237l&link_type=abstract

Nature (ISSN 0028-0836), vol. 338, March 16, 1989, p. 237, 238.

Computer Science

152

Chaos, Planetary Evolution, Solar System, Laplace Equation, Liapunov Functions, Solar System, Numerical Methods, Stability, Planets, Computer Methods, Orbits, Parameters, Mass, Eccentricity, Inclination, Time Scale, Motion, Celestial Mechanics, Terrestrial Planets, Perturbations, Resonance

Scientific paper

The results are described of a numerical integration, extending backwards over 200 million years, of an extensive analytic system of averaged differential equations containing the secular evolution of the orbits of the eight main planets. The solution is chaotic, with a maximum Lyapunov exponent that reaches the surprisingly large value of about 1.5/Myr. The motion of the solar system is thus shown to be chaotic, not quasi-periodic. In particular, predictability of the orbits of the inner planets, including the earth, is lost within a few tens of millions of years.

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