# A numerical experiment on the chaotic behaviour of the Solar System

@article{Laskar1989ANE, title={A numerical experiment on the chaotic behaviour of the Solar System}, author={Jacques Laskar}, journal={Nature}, year={1989}, volume={338}, pages={237-238} }

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 of their orbits, the planets move quasiperiodically. Since then, many analytic quasiperiodic solutions have been sought to higher order1–10.1 have recently constructed an extensive analytic system of averaged differential equations containing the secular evolution of the orbits of the eight main planets… Expand

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A long-term numerical integration of the classical Newtonian approximation to the planetary orbital motions of the full solar system (Sun + eight planets), spanning 20 Gyr, was performed. The results… Expand

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Abstract In a previous paper (J. Laskar, Nature 338, (237–238)), the chaotic nature of the Solar System excluding Pluto was established by the numerical computation of the maximum Lyapunov exponent… Expand

An example of stable chaos in the Solar System

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MANY planets have been shown to have chaotic instabilities in their orbital motions, but the long-term significance of this is not fully understood1. The eccentricity of Mercury, for example, changes… Expand

Confirmation of resonant structure in the solar system

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Abstract Using a semianalytical secular theory, Laskar (1989, Nature 338, 237–238) computed the orbits of the planets over 200 million years and found that their motion, and especially the motion of… Expand

Dynamical Evolution of Multi-Resonant Systems: the Case of GJ876

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The GJ876 system was among the earliest multi-planetary detections outside of the Solar System, and has long been known to harbor a resonant pair of giant planets. Subsequent characterization of the… Expand

Rapid Dynamical Chaos In An Exoplanetary System

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We report on the long-term dynamical evolution of the two-planet Kepler-36 system, which consists of a super-Earth and a sub-Neptune in a tightly packed orbital configuration. The orbits of the… Expand

Chaotic diffusion in the Solar System

- Physics
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Abstract The discovery of the chaotic behavior of the planetary orbits in the Solar System [Laskar, J., 1989. Nature 338, 237–238; Laskar, J., 1990. Icarus 88, 266–291] was obtained using numerical… Expand

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The chaotic nature of planet dynamics in the solar system suggests the relevance of a statistical approach to planetary orbits. In such a statistical description, the time-dependent position and… Expand

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