We got to talking about space warfare last night, and I realized something pretty weird: FTL drives effect massive shifts in velocity.
Almost every FTL spacecraft, in fiction, is capable of moving between planets in different star systems. The ship starts out roughly stationary relative to planet A, and winds up roughly stationary relative to planet B. How fast are A and B moving compared to one another? How fast do stars move?
Proxima Centauri has a radial velocity (relative to the solar system’s center-of-mass) of -21.7 +/- 1.8 km/s. Its proper motion vector is -3.77530 arcsec/year in right ascension, and 0.76933 arcsec/year in declination. At 4.243 light-years away, its proper motion relative to sol is 23.777 km/s. Its total relative velocity to sol is somewhere around 32.19 km/s, which is just a little faster than the velocity of the earth, rotating around the sun.