1g Star Ship
The acceleration due to gravity on the surface of the Earth (g) is 9.81 meters per second per second. The Propulsion Sytem of a 1g Star Ship Class ship maintains a one g acceleration while in operation.
Nearest Habitable Planet candidates
There are two habitable planet candidates orbiting Tau Ceti in the constellation Cetus
which is directly south of Pisces. Tau Ceti is 11.90 light years from Earth
Plan
the voyage is under constant one g acceleration
flip the ship around at the midpoint
initial velocity relative to the Sun is zero
final velocity relative to Tau Ceti is zero
Simplify the Math
measure time in years and distance in light years
1 year = 31,557,600 seconds
speed of light = 299,792,458 meters per second = 1 ly / yr
1 light-year = 9,460,730,472,580,800 meters = 1 ly
1 light-year = 5,878,625,000,000 miles = 1 ly
one g acceleration = a = 9.81 meters per second per second = 1.03 ly /yr2
(9.81 m / s2) x (31,557,600 s / yr) x (31,557,600 s / yr) x (ly / 9,460,730,472,580,800 m )
Tau Ceti is 112,582,692,623,711,520 meters from Earth = 11.90 ly
turnover point is at 56,291,346,311,855,760 meters from Earth = 5.95 ly
Relativistic Considerations
thought about this and calculated the implications
Time dilation at constant acceleration - excerpt from: http://en.wikipedia.org/wiki/Time_dilation
The Relativistic Rocket - http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html
Implications
Tau Ceti is 11.90 ly away from Earth
turnover point is at 5.95 ly
ship velocity at turnover point is 99% light speed
Earth measures a travel time of
13 years 8 months 2 weeks
1g Star Ship has a travel time of 5 years 2 months 6 days
Conclusion
its possible
its survivable
ambient temperature superconductors are required
imagination is a sustainable resource