G. Jeffrey Taylor of Hawai'i Institute of Geophysics and Planetology wrote a paper in 2006, Wandering Gas Giants and Lunar Bombardment, arguing that outward migration of Saturn might have triggered a dramatic increase in the bombardment rate on the Moon 3.9 billion years ago, an idea testable with lunar samples. Dynamic graphics are available at Plaetary Science Research Discoveries Archives.
Taylor statesDid the events of the late heavy bombardment set earth's spin wobble period?This portrait of planetary migration explains the late heavy bombardment, the orbital parameters of the outer planets, the present orbital distribution of main-belt asteroids, and the presence of Jupiter's Trojan asteroids.
My question is asking whether the suggested 1:2 resonance event of Jupiter and Saturn is scientifically proven, whether the resulting stabilisation of the solar system included stabilisation of the earth-moon system, and if more is known about the effect of this event on the motion of the earth and moon.
Could it be possible that this event, the stabilisation of the gas giants, gave the earth a dynamic stability which it has retained ever since?