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Re: starship-design: Help with formula
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