Re: [nbos] [AS] Travel TimesAlan Bartholet Sat Aug 29th, 2009Hello Doug,

If you are using some form of reactionless thrust drive, allowing

for continuous acceleration, then you can calculate the travel time

with the following formula:

T = 68 * [square root of [D/A])

-------------------------------------------

T = time in hours

D = distance in AU.

A = spacecraft’s acceleration in G.

If your using a reaction drive then things get a little more complex.

First you need to calculate the time required to accelerate to the

cursing speed:

T = dV * 0.0455/A

---------------------------

T = time in hours.

dV = the total delta- V required for the acceleration.

A = the spacecraft’s acceleration in G.

It is easiest to assume that the space ship will spend the same amount

of time deceleration.

Then you need to calculate the distance covered during your

acceleration to the cursing speed:

cD = T^2 * A * 0.00042

--------------------------------

cD = distance travelled in AU during constant acceleration.

T = acceleration time in hours as previously calculated.

A = acceleration in G.

It is easiest to assume that distance travelled while decelerating is the same.

Then you need to calculate the distance travelled while cursing:

Time spent cruising (days) = (tD - (cD * 2)) * 1076/dV

---------------------------------------------------------------

tD = distance to the destination in astronomical units (AU)

cD = distance travelled during accelerating (we multiply it by 2 to

account for decelerating as well).

dV = cruising delta- V in mps.

So the total travel time would be:

Total travel time (days) = Time spent cursing (days) + (Time spent

accelerating/24)

Both of these do not take into account time dilation but until you

reach around 1/4c the affects are not worth taking into account.

I hope this helps.

Best Regards,

Alan Bartholet

On Fri, Aug 28, 2009 at 7:38 PM, Doug Jessee<ldjessee-at-gmail.com> wrote:

> Hello,

>

> I am trying to figure out some travel times at slower than light.

>

> Anyone know of any easy way to compute these times?

>

> For example, a sleeper ship that is going from earth to 61 Cygni. Assuming

> acceleration of 3/4 Gs, I was just trying to figure out how long it would

> take to travel.

>

> -Doug Jessee

>

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