From:
[
space.wikia.com]
we read:
“A number of near-integer-ratio relationships between the orbital frequencies of the planets or major moons are sometimes pointed out (see list below). However, these have no dynamical significance because there is no appropriate precession of perihelion or other libration to make the resonance perfect (see the detailed discussion in the Mean-motion resonances in the Solar system section, above).
Such near-resonances are dynamically insignificant even if the mismatch is quite small because (unlike a true resonance), after each cycle the relative position of the bodies shifts. When averaged over astronomically short timescales, their relative position is random, just like bodies which are nowhere near resonance.
For example, consider the orbits of Earth and Venus, which arrive at almost the same configuration after 8 Earth orbits and 13 Venus orbits. The actual ratio is 0.61518624, which is only 0.032% away from exactly 8:13. The mismatch after 8 years is only 1.5° of Venus' orbital movement. Still, this is enough that Venus and Earth find themselves in the opposite relative orientation to the original every 120 such cycles, which is 960 years. Therefore, on timescales of thousands of years or more (still tiny by astronomical standards), their relative position is effectively random.”
If we compute the Randomization time of the Neptune:Uranus 26:51 rotation period encoded in the GP we will find it to be about 1.6 million years. So what does “astronomically short timescales” mean? The Randomization time values given in the table range from 0.1 to 80,000 years.Are scientists aware of this orbital resonance, and if yes is it stable or unstable? I personally can’t find it anywhere on the net.