That doesn't necessarily mean its true, but it is certainly worth further study.

Jupiter has a period of 11.9 years, and is by far the heaviest planet (317 earth masses), far more massive than all the other planets combined. I'm surprised no one ever thought of this before.

Planet Mass(earths), distance(au), period(yr)

Mercury 0.06, 0.39, 0.24
Venus 0.82, 0.7, 0.62
Earth 1.00, 1.00, 1.00
Mars 0.11, 1.52, 1.9
Jupiter 317.83, 5.20, 11.86
Saturn 95.16, 9.57, 29.35
Uranus 14.54, 19.15, 84.13
Neptune 17.15, 30.06, 164.49

When you correct mass with inverse square law (M/d^2) Jupiter clearly is the most dominant influence available.
The other big planets are too far away to be very
effective.