Subject: Re: interstellar travel limits - incentives for financing 100 year starship

Bottom line is that this is unworkable practically, psychologically, politically because if we managed to build a ship at 1g and survived the blue shift problem from stuff moving slow in the Hubble flow - there is no effective return to Earth - about 200,000 years pass on Earth for 25 year round trip ship time across our galaxy. In generally anyone you knew on Earth is dead before you get back from any Earthlike exoplanet. Without dark energy stabilized wormholes there is little incentive for billionaires today to invest since most of them only see what the next few financial quarters will bring. That's where the UFO data comes in, if they are real, then they have star gate technology - and only then is there is hope.

On Mar 4, 2011, at 11:10 AM, JACK SARFATTI wrote:

T = ship time

t = time back on Earth

Time dilation factor is t/T = Earth Time/Ship Time
    T          t         d          v                γ
    1 year    1.19 yrs  0.56 lyrs  0.77c                 1.58 
    2         3.75      2.90       0.97                  3.99
    5        83.7      82.7        0.99993              86.2
    8     1,840     1,839          0.9999998         1,895
   12   113,243   113,242          0.99999999996   116,641

sh is hyperbolic sine

ch is hyperbolic cosine

http://en.wikipedia.org/wiki/Hyperbolic_function

http://www.sosmath.com/tables/tables.html

On Mar 3, 2011, at 5:13 PM, Kim Burrafato wrote:

Using these, the rocket equations are

t = (c/a) sh(aT/c) =  sqrt[(d/c)2 + 2d/a]

d = (c2/a) [ch(aT/c) - 1] =  (c2/a) (sqrt[1 + (at/c)2] - 1)

v = c th(aT/c) = at / sqrt[1 + (at/c)2]

T = (c/a) sh-1(at/c) = (c/a) ch-1 [ad/c2 + 1]

γ = ch(aT/c) = sqrt[1 + (at/c)2] = ad/c2 + 1

These equations are valid in any consistent system of units such as seconds for time, metres for distance, metres per second for speeds and metres per second squared for accelerations.  In these unitsc = 3 × 108 m/s (approx).  To do some example calculations it is easier to use units of years for time and light years for distance.  Then c = 1 lyr/yr and g = 1.03 lyr/yr2.  Here are some typical answers for a = 1g.