Whether the ray originates from a celestial body or from a high-atmosphere 
event, we're talking about a ray tangent to the Earth's surface at the 
viewer's horizon. One could argue about small changes those two origins cause 
in the amount of refraction. It still rounds to a factor of 4.

We could nano-parse the matter, Martin, but I think we have far exceeded the 
scope of the answer the original question sought.

Jim

On Monday 26 December 2005 14:24, Martin Vlietstra wrote:
> James,
>
> OK, I forgot about refration, but maybe you are over-compensating.  The
> deviation of light from a celestial body due to refraction of the earth's
> atmosphere is greater that the deviation due lightning because the
> lightning take place withoin the atmosphere.    If the point that is being
> viewed ic close to the ground then the factor is 3.56 while if it is on the
> fringes of space the factor is 3.84.  In practice, I beleive that the flash
> associated with ligthning is somewhere between the two.
>
> Regards
> Martin
>
> ----- Original Message -----
> From: "James R. Frysinger" <[EMAIL PROTECTED]>
> To: "U.S. Metric Association" <[email protected]>
> Cc: "U.S. Metric Association" <[email protected]>
> Sent: Friday, December 23, 2005 4:50 AM
> Subject: [USMA:35446] Re: Lightning and thunder
>
> > Martin,
> >
> > Euclid was pretty good with that geometry stuff but he was weak on
>
> refraction.
>
> > The rule of thumb I stated takes refraction into account, which is
>
> important
>
> > to observers near the Earth's surface. Hence the factor of 3.84 rather
>
> than
>
> > the value of 3.56 that Euclid would have predicted. For radar ranges to
>
> the
>
> > horizon, add another 2 % to 3 %, especially for the lower frequency
>
> radars.

-- 
James R. Frysinger
Lifetime Certified Advanced Metrication Specialist
Senior Member, IEEE

http://www.cofc.edu/~frysingj
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