Chaotic Evolution of the Solar System

The evolution of the entire planetary system has been numerically integrated for a time span of nearly 100 million years. This calculation confirms that the evolution of the solar system as a whole is chaotic, with a time scale of exponential divergence of about 4 million years. Additional numerical experiments indicate that the Jovian planet subsystem is chaotic, although some small variations in the model can yield quasiperiodic motion. The motion of Pluto is independently and robustly chaotic.

[1]  S. Tremaine,et al.  Confirmation of resonant structure in the solar system , 1992 .

[2]  J. Wisdom,et al.  Symplectic maps for the N-body problem. , 1991 .

[3]  Thomas R. Quinn,et al.  A Three Million Year Integration of the Earth's Orbit , 1991 .

[4]  Jacques Laskar,et al.  The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones , 1990 .

[5]  J. Wisdom,et al.  Tidal evolution of the Uranian satellites: III. Evolution through the Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities , 1990 .

[6]  J. Laskar A numerical experiment on the chaotic behaviour of the Solar System , 1989, Nature.

[7]  J. Wisdom,et al.  Tidal evolution of the Uranian satellites: II. An explanation of the anomalously high orbital inclination of Miranda , 1989 .

[8]  A. Milani,et al.  Fundamental frequencies and small divisors in the orbits of the outer planets , 1989 .

[9]  J. Wisdom,et al.  Tidal evolution of the Uranian satellites. I - Passage of Ariel and Umbriel through the 5:3 mean-motion commensurability , 1988 .

[10]  G. Sussman,et al.  Numerical Evidence That the Motion of Pluto Is Chaotic , 1988, Science.

[11]  Jack Wisdom,et al.  Rotational dynamics of irregularly shaped natural satellites , 1987 .

[12]  A. Lemaitre,et al.  The reducing transformation and Apocentric Librators , 1986 .

[13]  J. Wisdom Canonical solution of the two critical argument problem , 1986 .

[14]  J. Kovalevsky,et al.  Relativity in Celestial Mechanics and Astrometry , 1986 .

[15]  J. Wisdom A perturbative treatment of motion near the 3/1 commensurability , 1985 .

[16]  Hiroshi Nakai,et al.  Motions of the perihelions of Neptune and Pluto , 1984 .

[17]  Francois Mignard,et al.  The chaotic rotation of Hyperion , 1984 .

[18]  J. Wisdom,et al.  Chaotic behavior and the origin of the 3/1 Kirkwood gap , 1983 .

[19]  Jack Wisdom,et al.  The Origin of the Kirkwood Gaps: A Mapping for Asteroidal Motion Near the 3/1 Commensurability , 1982 .