Impure Math

[bcholmes]

Math help! Is this right?

T2 = 2xD / A

Where T is time in seconds, D is distance in metres and A is acceleration in metres per second. I want to calculate the number of days it takes to travel X number of Astronomical Units -- AU (or ua, if you actually listen to the Bureau International des Poids et Mesures) -- using Gs of acceleration.

T2 = 2xD / 10xAG

Thus:

T2= 2xDAUx150,000,000x1000 / 10xAG

And:

Td2 = 2xDAUx150,000,000x1000 / 10xAGx(24x60x60)2

Which is:

Td2 = 2xDAUx150,000,000x1000 / 10xAGx86,4002

Or:

Td2 = 2xDAUx150,000,000x1000 / AGx74,649,600,000

Which is close enough to:

Td2 = 2xDAUx2 / AG

Or

Td = 2xSQRT(DAU / AG)

So at a constant one G acceleration I can travel 100 AU in about 7 days? That seems off, somehow.

Now, thanks to james_nicoll and king_tirian, I've got it right.