Resonance locking between Jupiter and Uranus

Details Resonance locking between Jupiter and Uranus Resonance locking between Jupiter and Uranus

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984natur.310..753m&link_type=abstract

Nature (ISSN 0028-0836), vol. 310, Aug. 30, 1984, p. 753-755.

Astronomy and Astrophysics

Astronomy

14

Jupiter (Planet), Solar Planetary Interactions, Solar System, Three Body Problem, Uranus (Planet), Angular Momentum, Astrodynamics, Librational Motion, Locking, Motion Stability, Resonance, Time Functions

Scientific paper

The data of Kinoshita and Nakai, who recently performed the longest numerical integration of the outer Solar System ever attempted, are analyzed in order to investigate the stability of the outer Solar System over 5 Myr. The analysis involves separating the system into three-body subsystems. It is found that the outer Solar System is made up of two main subsystems, the Sun-Jupiter-Saturn and the Sun-Uranus-Neptune, which exchange angular momentum over a period of 1.1 Myr. The dynamical mechanism responsible for locking the two subsystems together is a libration of the angle between Jupiter's and Uranus's perihelions around 180 deg with the same period of 1.1 Myr. No dynamical locking over such a long period of time has been found in the Solar System, although similar mechanisms have been predicted.

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