Long-term changes in the semimajor axes of the outer planets

Details Long-term changes in the semimajor axes of the outer planets Long-term changes in the semimajor axes of the outer planets

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986natur.319..386m&link_type=abstract

Nature (ISSN 0028-0836), vol. 319, Jan. 30, 1986, p. 386-388. SERC-NATO-CNR-supported research.

Physics

19

Celestial Mechanics, Gas Giant Planets, Neptune (Planet), Orbital Elements, Pluto (Planet), Secular Variations, Solar Orbits, Uranus (Planet), Long Term Effects, Numerical Integration, Orbit Calculation, Orbit Perturbation, Giant Planets, Axes, Celestial Mechanics, Physical Properties, Planets, Orbits, Theoretical Studies, Models, Period, Energy, Uranus, Neptune, Jupiter, Saturn, Pluto, Librations, Motion, Spectra, Structure

Scientific paper

A 9.3 Myr numerical integration of the orbits of the outer planets has been performed using a pure Newtonian point mass model. An accurate integrator and an effective low-pass filtering of the output permitted high-order variations in the energies, and hence also in the semimajor axes, to be detected with periods ranging from tens of thousand to millions of years. The most interesting feature is an energy exchange between Uranus and Neptune with a period of 1,119,000 years, the same as the period of the libration between the perihelia of Jupiter and Uranus. The mechanism involves Jupiter and also Saturn, whose energy shows puzzling longer-term trends. The energy of Pluto changes mostly with periods close to that of the 3:2 libration in mean motion with Neptune. Its spectrum in this region shows a very complicated structure, but no indication of chaotic behavior is found.

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