Fundamental frequencies and small divisors in the orbits of the outer planets

Details Fundamental frequencies and small divisors in the orbits of the outer planets Fundamental frequencies and small divisors in the orbits of the outer planets

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...210..313n&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 210, no. 1-2, Feb. 1989, p. 313-336. Research supported by CNR and NATO.

Statistics

Computation

97

Celestial Mechanics, Gas Giant Planets, Many Body Problem, Pluto (Planet), Solar Orbits, Computational Astrophysics, Dynamical Systems, Perturbation Theory

Scientific paper

The results of the LONGSTOP 1B numerical integration of the orbits of the outer planets from Jupiter to Pluto, spanning 100 Myr forward and 50 Myr backward from the present, are reported. The results are given in terms of fundamental secular frequencies and long-term spectral lines in the major semiaxes, eccentricities, and inclinations of the planetary orbits, with their amplitudes and phases. The results indicate that the outer solar system, over 100 Myr, shows dynamical features that are typical of nonregular regions of motion in the phase space of nonintegrable dynamic systems.

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