Long-term numerical integrations and synthetic theories for the motion of the outer planets

Details Long-term numerical integrations and synthetic theories for the motion of the outer planets Long-term numerical integrations and synthetic theories for the motion of the outer planets

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...181..182c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 181, no. 1, July 1987, p. 182-194. SERC-CNR-supported research.

Astronomy and Astrophysics

Astrophysics

93

Celestial Mechanics, Gas Giant Planets, Numerical Integration, Planetary Rotation, Planetology, Secular Variations, Digital Filters, Dynamic Stability, Fourier Analysis, Line Spectra, Perturbation Theory, Pluto (Planet), Planets, Giant Planets, Numerical Methods, Theoretical Studies, Motion, Celestial Mechanics, Orbital Elements, Models, Procedure, Techniques, Perturbations, Analysis, Comparisons, Time Scale, Calculations, Spectra, Solar System, Parameters

Scientific paper

The 'LONGSTOP' project, which investigates solar system dynamical stability over timescales that are comparable to its lifetime through numerical integrations, has concentrated on obtaining a compression of the output which will be suitable for comparison with analytical theories. Attention is presently given to output decimation and digital filtering, which facilitate the study of long term changes in the orbital elements as deduced from the output of a numerical integration, and to Fourier analysis techniques, by means of which prominent lines in the dynamical spectrum can be identified when theoretical constraints on the allowed combination frequencies are taken into account. In this way, a synthetic secular perturbation theory is built from the numerical experiments for comparison with available analytical theories.

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