"How about a more reasonable scenario:
An initial burst of thrust (could be big, at least a day, if not a week long), coasting for most of the journey (since everyone has retired to low berths at this point), the appropriate deceleration at the destination."
Sir,
Well, as long as you stay below 2/5ths of c and thus away from any relativity problems it would be a simple time-acceleration-distance problem.
Let's see, pull out the back of that envelope...
- Figure 1 gee (that's 0.0098km/sec^2) thrust for 2 weeks (that's 1209600 seconds) to reach a velocity of 11854.08km/sec.
- During that 2 weeks you'll have travelled 7,169,347,584 km. Remember that, it's the distance we'll need to slow down too.
- A light year is roughly 624,388,608,000 km. We'll have already travelled that distance above, plus we'll need to slow down, so subtract that twice from the distance we need to go. We'll end up with 610049912832 km left. Now just divide our velocity into that for a 'coasting' trip time of ~595.64 days. Don't forget to add the 28 days spent accelerating and decelerating. We end up with a total ~623.64 days most of which was spent at ~0.04 of c. (We don't need fear relativity until we near ~0.4 of c).
Sincerely,
Larsen