Oscillation in tilt of the solar system I know that the solar system is tilted 62.6° to the plane of the galaxy.  I'm curious whether this angle changes over time, and what are the extents and time frame of any such oscillations if they exist?

Upon reflection, I'm assuming that since such an oscillation would require a change in the overall angular momentum of the entire solar system, and that would necessitate a collective re-orientation of the orbit of every planet, dwarf planet, SSSB, etc. related to the Sun that it's unlikely that any such mechanism exists?
The tidal field of the Galaxy does lead to the oscillation of the plane of very wide binaries.  The mechanism of this oscillation is identical to the Kozai-Lidov mechanism (the only difference is that in the case of KL oscillations the tidal field is generated by the averaged orbit of a tertiary stellar companion).

However, if you run the numbers, the timescale for these oscillations is extremely long for any of the planets (I forget how long exactly, but much longer than the age of the Universe).  It's somewhat shorter for comets in the Oort Cloud, only a few billion years, because their orbits are much larger and so would tend to experience larger a larger tidal effect.