bsystem, Jupiter–Saturn and Uranus–Neptune seem to make dynamical pairs. However, the strength of their coupling is not as strong compared with that of the Venus–Earth pair.
5 ± 5 × 1010-yr integrations of outer planetary orbits
Since the jovian planetary masses are much larger than the terrestrial planetary masses, we treat the jovian planetary system as an independent planetary system in terms of the study of its dynamical stability. Hence, we added a couple of trial integrations that span ± 5 × 1010 yr, including only the outer five planets (the four jovian planets plus Pluto). The results exhibit the rigorous stability of the outer planetary system over this long time-span. Orbital configurations (Fig. 12), and variation of eccentricities and inclinations (Fig. 13) show this very long-term stability of the outer five planets in both the time and the frequency domains. Although we do not show maps here, the typical frequency of the orbital oscillation of Pluto and the
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