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I probably am using zenith incorrectly - essentially, what I was think
about was MAX altitude which os clearly not the same.  Sorry
Quoting Peter Monta :

> Hi Bruce,
>
> Why is it unlikely that any bright star will be within an arc minute
>> of zenith?
>>
>>
> Now I'm thinking that you and/or the original poster may be using "zenith"
> in the archaic sense of "at culmination".
>
> But if we're all talking about the zenith as "up", or "opposite the gravity
> vector", then at any given place and time the bright stars, of which there
> are only a few dozen or hundred, will be unlikely to find themselves that
> close to the zenith.  It's just statistics.  There are about 70 million
> square arcminutes in the hemisphere, if my arithmetic is right, so for one
> of the 100 bright stars to be in the magic square at the zenith, it's like
> winning the lottery.
>
> Cheers,
> Peter
>
>
> :
> http://fer3.com/arc/m2.aspx/Celestial-navigation-easier-basic-principle-PeterMonta-jan-2020-g46920

   

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