How would the gravitational influence of the [relatively] nearby passage of a stellar mass affect our system? As a system, rather than as individual components (I imagine the direct effect on Sol would be moderately significant ).

 

Would the system possibly precess under the right circumstances?

 

Thanks!

The solution is very complex to solve analytically.

We can remove the difficulty by using computer simulation method.

Problem is the data accuracy of the nearby stars and data amount.

A close encounter with another stellar mass could affect our solar systems trajectory, how much would depend on mass and distance, close enough and it can wreak havoc severely disturbing planetary orbits.

 

Depending on the passage, I think it could possibly change the invariable plane slightly but not cause a continued wobbling.