Modelling the Phase Shift(first cut) 
The basic bud/planet phenomena are these:


Bud Events appear unrelated to:


The features specific to the socalled "Phase Shift" are:

If T is a shift interval, and t denotes time, then the "slip rate", dT/dt, is always negative or zero, and varies very approximately as αsin(γt  φ)  β, where α,β,γ,φ are constants. In other words, the rate shows cyclic variation on a secular mean. 
If we seek an agent for these phenomena, what mathematical entity can best represent it? Vectors are said to represent quantitities having magnitude and direction in a convenient, geometric way. That is, it is convenient because their geometric additions and subtractions are equivalent to the actual additions and subtractions of the (sometimes nongeometric) quantities they stand for. In fact, vectors usually also represent the sense of the "action" or "effect" of the quantities they otherwise represent: Newton's Action and Reaction are instances. For these, a force on a body is countered by another (equal) force from the body (i.e., in the opposite sense), but in identically the same direction. So a vector that does not take account of sense, but only of direction, is not quite a vector! Let us call it a "quasivector." 
If the bud phase shift is the result of some interaction between the bodies of the Solar System, then the agent—"agent" in the way that 'force' may be thought of as the agent of Gravity, for example, that 'causes' a thing to happen that would not without it—the agent of the shift is not likely to be one that can be represented by a "proper" vector, since, while direction is definitely retained, the quality of sense seems not to be, and it is not obvious how to assign magnitudes. Hence the agent will, at most, have a 'quasivector'  
[One may discover the general direction and amount of motion (speed) of, say, all the bodies of the Solar System, without taking regard to the senses (velocities) of the component motions, and draw a line of appropriate length and direction to represent it. But it would not have a head or tail. This would be a quasivector, having direction and magnitude, but not sense.]  