Re: starship-design: Help with formula

[Steve VanDevender <stevev@efn.org>]

Zenon Kulpa writes:
 > > From: Steve VanDevender <stevev@efn.org>
 > > 
 > > Zenon Kulpa writes:
 > >  > Please, I have lost it somewhere, no time to search or derive,
 > >  > what is the formula for Earth time & crew time
 > >  > in the (one-way) flight with constant acceleration = 1g 
 > >  > (half way +, half way - ) depending on the distance (in ly)?
 > >  > 
 > >  > Thanks, 
 > >  > 
 > >  > -- Zenon
 > > 
 > Thank you, but:
 > 
 > > For one-way acceleration:
 > > 
 > Does that mean half-way acceleration, and then half-way deceleration 
 > to stop at target (at distance d)?

It covers one-half of the kind of trip you're talking about.

 > > t = (c / a) * acosh(1 + (a * d / c^2))
 > > 
 > > t = elapsed time
 > >
 > Earth time or crew (ship) time?

Ooops, now that I look at it the formula gives ship time, not
Earth time.  Sorry.

 > > c = speed of light
 > > a = acceleration
 > > d = distance traveled
 > > acosh = inverse hyberbolic cosine function
 > 
 > -- Zenon