Secular variations of the semimajor axes - Theory and experiments

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Axes Of Rotation, Gas Giant Planets, Numerical Integration, Orbit Perturbation, Secular Variations, Solar Orbits, Celestial Mechanics, Line Spectra, Orbit Calculation, Spectrum Analysis

Scientific paper

Within the LONGSTOP (Long-term Gravitational Stability Test of the Outer Planets) research project, numerical integrations of the orbits of the outer planets show, for the first time, dynamical features in the behavior of the semimajor axes of these planets over time scales of the order of millions of years. The most interesting one is an oscillation, in antiphase, of the semimajor axes of Uranus and Neptune revealing an almost exact exchange of energy of the two planets with one another. The period of the oscillation is 1,119,416 years - the same as the period of the exchange in angular momentum between Jupiter and Uranus.

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