re: to the extent that a body is accelerated by falling into a red dwarf...
You need to calculate the escape velocity for a red giant star. You find that it is quite high, much higher than the speed this star is moving at.
As an example of high this could be note that the escape velocity of the Sun is 617.5 km/s.
See this page for the formula:
Escape velocity.
http://en.wikipedia.org/wiki/Escape_velocity
Since the speed the impacting Jovian planet(s) would be travelling is so high, the mass of the impactor(s) would not have to be that great to get the observed velocity of the star.
Bob Clark
