I went back to a thread that does the math, and a slight correction (hey, I read this awhile ago). 20 years to get to the center of the galaxy, and 20 years to get back - 40 years, doable in one lifetime. For Alpha Centauri, it is 7 years to go and return.
The numbers to the center of the galaxy:
Ship time: 19.8 years
Earth time: 27,002 years
Peak velocity about 77 cm/sec less than c.
To Alpha centauri:
Ship time: 3.6 years
Earth time: 5.9 years
Peak velocity: 95% c
I was rhinking about the path you mentioned originally.
But now that you posted this math;
To Alpha centauri:
Ship time: 3.6 years
Earth time: 5.9 years
Peak velocity: 95% c
I would more likely be willing to take a trip to Alpha Centauri and back.
This is not correct.
I checked the thread where those numbers came from, and it had a link to another thread where there were equations to calculate relativistic effects. Unfortunately, the link was dead.