Proxima b is an Earth-like (i.e. rocky) planet, in orbit around the star Proxima Centauri, approximately 4.243 light years from Sol, our home star.
If I had a space vehicle capable of accelerating continuously at 9.81 m/s2 (i.e. 1g), how long would it take to reach Proxima b?
For the purposes of this question, assume that our vehicle departs from low Earth orbit and the goal is to achieve orbital capture of Proxima b, so our vehicle would probably need to turn around and decelerate with respect to the target at some point during its journey to achieve capture velocity.
Also, for the purpose of the question, I'm asking about the apparent travelling time from the frame of reference of a passenger on our vehicle. That said, it would also be interesting to know the apparent travel time and characteristics for observers on Earth and Proxima b.