People might be interested in the book
"The Sun in the Church" by Heilbron.
It's about using meridian lines in
cathedrals for solar measurements.
http://www.math.nus.edu.sg/aslaksen/teaching/heilbron.html




> Brent
> If you measure the transit of a star (or any celestial body) through the
> meridian again and again over many years with telescopes that can
> distinguish less than 1 second of arc, then it's perfectly possible.
> Remember 1 second of time = 15 seconds of arc. These measurements - now
> done automatically -  have been done for years by using transit telescopes
> to take photographs of the stars and then by taking measurements off the
> photo plates.
>
> Even without sophisticated instruments, surprising accuracies were
> obtained...
>
>> Malik Shah the grandson of Toghril Beg, the founder of the Seljuk
>> dynasty ruled the city of Isfahan from 1073 AD. His vizier Nizam-ul-Mulk
>> invited Omar Khayyam to Isfahan, to set up an observatory. Other leading
>> astronomers were also invited to work at the observatory and for 18
>> years Omar Khayyam led the scientists and produced work of outstanding
>> quality. It was a period of peace during which the political situation
>> allowed Khayyam the opportunity to devote himself entirely to his
>> scholarly work. During this time Khayyam led work on compiling
>> astronomical tables and he also contributed to calendar reform in 1079.
>> Khayyam measured the length of the year as 365.24219858156 days, we know
>> now that the length of the year is changing in the sixth decimal place
>> over a person's lifetime. It is also outstandingly accurate. For
>> comparison the length of the year at the end of the 19th century was
>> 365.242196 days, while today it is 365.242190 days.
>
> Omar Khayyam was a real polymath - a notable astronomer, mathematical and
> poet. He famously wrote ....
>
>> A Book of Verses underneath the Bough,
>> A Jug of Wine, a Loaf of
>> Beside me singing in the Wilderness --
>> Oh, Wilderness were Paradise enow!
>
> and (especially for us gnomonists)
>
>> For in and out, above, about, below,
>> ’Tis nothing but a magic shadow-show,
>> Play’d in a box whose candle is the Sun,
>> Round which we phantom Figures come and go
>
> Best regards
> Kevin Karney
> Freedom Cottage, Llandogo, Monmouth NP25 4TP, Wales, UK
> 51° 44' N 2° 41' W Zone 0
> + 44 1594 530 595
>
> On 26 Mar 2011, at 13:57, Brent wrote:
>
>> It's amazing that someone was able to calculate these
>> numbers out to 6 decimals. Is that done by some type of
>> observation or is it mathematics?
>>
>> How could you possibly measure something like that?
>>
>>
>>
>> On 3/25/2011 1:14 PM, Kevin Karney wrote:
>>> Nothing is constant in the heavens !
>>> The 'tropical' year (from equinox to equinox) is 365.242190 days
>>> The 'sidereal' year (fixed star to fixed star) is 365.256363 days
>>> The 'anomalistic' year (perihelion to perihelion) is 365.259636 days -
>>> cycling over a period of some 21000 years
>>> (values for 2009 from Astronomical Almanac)
>>> But these are mean values having averaged out the effects of nutation
>>> (the wobbling of the Earth's axis) and various other effects.
>>
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>>
>
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