I've never made the trip, but I plan to, one day. My understanding is that it takes ~90 minutes to do it the "stupid" way and just point towards your destination and supercruise. It's supposed to be faster to fly up, away from the system planetary plane. Since there aren't any planets or stars around, their mass won't interfere with your drive and the top speed (2001 lys/sec) is reached much sooner and maintained much longer.
That makes no sense at all surely. I'll freely admit I'm no scientist but when you arrive, the most massive object affecting your speed is Alpha Centauri. Proxima Centauri is a) very far away and b) if it was affecting you at all its gravity would be pulling you towards it initially, which would mean you'd go faster when pointed at it not slower. No matter which direction you fly in from the start, Alpha Centauri's gravity will affect you the same because it's the fixed point away from which you're moving.
What orbits Alpha Centauri, I can't remember - anything that will have a significant impact?
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