Re: Distance-dependent time contraction

From: sal (believer_at_nospam.org)
Date: 06/12/04 

Date: Sat, 12 Jun 2004 02:23:04 GMT

I doubt Pentcho will answer this (in any particularly useful fashion) but
there were a couple points that caught my eye.

On Fri, 11 Jun 2004 23:10:37 +0200, Paul B. Andersen wrote:

>
> It is no "new discovery", it is a well known consequence of SR. And it
> has been addressed numerous times in this NG as an answer to the
> question "what is the rate of the inertial twin's clock as measured by
> the traveling twin."
>
> You must have a very unrealistic view of your own knowledge when you
> think something is "a new discovery" just because YOU don't know it.

For sure. I was delighted when I got the revolving-twins results, 'cause
they were new to _me_...

I suspect they're still not new to Pentcho, OTOH, because I'm afraid he
still hasn't "gotten" them.

[ ... ]

> So the
> clock in the other ship will to a first order approximation run at the
> instant rate (1 + 2v^2/c^2) when the clocks are at the opposite sides of
> the circle.
>
> When the ships are passing each other, the instant rate of the other
> ship's clock will to a first order approximation (assuming v << c) be (1
> - 2v^2/c^2).
>
> Compare this to Sal's results.

Those were, indeed, the results I got for the first-order approximations
at those two points. 

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