Here is a further illustration of the helix pattern of Jupiter, Saturn and Neptune. This diagram is a composite sine wave, adding the sine waves of Jupiter, Saturn, Uranus and Neptune over 800 years. In addition, sine waves of Saturn and Neptune are shown, with the five successive cycles of conjunctions, occurring with Jupiter (not shown) each 179 years, at the five different coloured sets of arrows. It can readily be seen that the composite wave (green - SSB JSUN) has very similar shape at each same coloured arrow. This is just a schematic built as a mathematical model, with effects of each gas giant set at equality in order to highlight the input of the further planets. In reality the shape of the barycentre wave function is much more similar at the arrow points than is shown here. If this two-dimensional sine wave were presented in three dimensions as a cylinder, each arrow would take about eleven points to circumnavigate the ecliptic, in families of Jupiter-Saturn-Neptune conjunctions moving into and out from exactness over the millennia, with the twelfth point about one twelfth further around the ecliptic. By an interesting coincidence, the lunisolar precession of earth's equinox each ~25764 years takes very close to 144 of these arrows. These are rough calculations. I hope there are astronomers with interest in this cyclic pattern of our solar system who could verify my numbers and model. If anyone can suggest a web location where I could put a better version of the attached picture, or if you have questions about it, please let me know.