peteshimmon

2007-Jan-13, 02:15 PM

I described a thought experiment on how a

traveller going at half the speed of light

experiances about 14 minutes time dilation

doing a distance of one light hour. But even

as such an experiment I find it unsatisfactory

as the instant change to half c is never

possible. So I have used basic stuff to find

it takes 182.8 hours to accelerate at 10 metres

per second per second, turning round and

decelerating at the half way stage to travel

a distance of one light hour. And I note the

maximum velocity reached was about 1% of light

speed. Does anyone have a simple formula for

the total time dilation? It will be some kind

of integral I suppose. With this I can find

how long it takes for someone to reach varous

distances as they measure their own time. And

I would like such a formula for 9 metre/sec

squared for the really decadent traveller:)

traveller going at half the speed of light

experiances about 14 minutes time dilation

doing a distance of one light hour. But even

as such an experiment I find it unsatisfactory

as the instant change to half c is never

possible. So I have used basic stuff to find

it takes 182.8 hours to accelerate at 10 metres

per second per second, turning round and

decelerating at the half way stage to travel

a distance of one light hour. And I note the

maximum velocity reached was about 1% of light

speed. Does anyone have a simple formula for

the total time dilation? It will be some kind

of integral I suppose. With this I can find

how long it takes for someone to reach varous

distances as they measure their own time. And

I would like such a formula for 9 metre/sec

squared for the really decadent traveller:)