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    Re: 1491 The year China discovered longitude
    From: Ant�nio Canas
    Date: 2004 May 8, 11:07 +0100

    Just try to read something from Claudius Ptolemy who lived from 85 to 165 a
    few centuries before "The year China discovered longitude"
    
    You can find that he explains how to use eclipses to find the longitude of
    places
    
    Antonio Canas - Portugal
    
    
    
    ----- Original Message -----
    From: "Kieran Kelly" 
    To: 
    Sent: Saturday, May 08, 2004 5:17 AM
    Subject: 1491 The year China discovered longitude
    
    
    > -----Original Message-----
    > From: Kieran Kelly [mailto:kkelly@bigpond.net.au]
    > Sent: Saturday, 8 May 2004 2:12 PM
    > To: Kieran Kelly
    > Subject: 1491 The year China discovered longitude
    >
    > I have recently completed reading Gavin Menzies controversial "1421 The
    Year
    > China discovered the World". The book makes many extraordinary claims
    > including an assertion that Chinese mariners discovered how to calculate
    > longitude at sea more than 300 years before their colleagues in Europe.
    The
    > technique using lunar eclipses is as follows and is reproduced verbatim
    from
    > the book:
    >
    > "Solar and lunar eclipses occur when the sun, moon and earth are in line
    > with one another and when the moon's orbit around the earth is in the same
    > plane as the earth's orbit around the sun. In a solar eclipse, the moon's
    > shadow blots out the sun over a small portion of the earth and it becomes
    > night for a very short period. The spot of darkness, the umbra, travels
    > across the earth as the moon rotates around the earth, and the earth
    itself
    > rotates."
    >
    > "Observers in different locations see the solar eclipse at different
    times.
    > In a lunar eclipse, the earth is between sun and moon, and because the
    earth
    > is so much bigger than the moon, its shadow obscures the moon. The great
    > difference for astronomical observations is that observers may see the
    event
    > simultaneously across half the earth, whereas in a solar eclipse the event
    > occurs only above a very small part of the earth at any one time. The
    > ability to time a lunar eclipse with absolute precision and the fact that
    > the same event could be seen simultaneously from different parts of the
    > globe were to prove the vital steps in Chinese attempts to find a method
    of
    > calculating longitude."
    >
    > "The keys to using a lunar eclipse to determine longitude are, first that
    > the event is seen across half the world simultaneously, and secondly,
    while
    > the eclipse is taking place, the earth's rotation makes the stars appear
    to
    > move across the sky.  There are distinguishable events during an eclipse:
    > U1 - first contact, when the moon enters the dark umbral shadow; U2 -
    second
    > contact, when the moon has just fully entered the umbra and is totally
    > covered; U3 - third contact, when the moon first starts to emerge; and
    U4 -
    > fourth contact, when the moon has just fully emerged. The Chinese
    > concentrated on U3 and used it as the basis of their calculations.
    >
    > "After landing in an unknown territory, Chinese navigators and astronomers
    > would have been instructed to observe the lunar eclipse, wait until the
    > moment when the third event (U3) occurred, then determine what star was
    just
    > crossing the local meridian in the night sky. The local meridian was the
    > imaginary longitudinal line, starting on the horizon directly north of the
    > observer, passing over his head and ending at the horizon due south of
    him.
    > The known star crossing that line at the time of the third event of the
    > eclipse was the key sighting for the observers in the new territory, and
    for
    > those back in Beijing.
    >
    > "When the astronomer returned from his voyage, he and his colleagues in
    > Beijing compared their data. Using their time keeping device, calibrated
    > from the gnomon, they timed the interval between the transits of the star
    > observed in the new territory at the time of the eclipse and the star seen
    > by the astronomers in Beijing at the same moment. The earth rotates 360?
    in
    > twenty-four hours. If the elapsed time between the two transits was six
    > hours, a quarter of the time it takes the earth to rotate, the difference
    in
    > longitude between Beijing and the new territory would be a quarter of the
    > total longitude around the world - 90? - one quarter of 360?. Errors could
    > be reduced by timing each of the four events of the eclipse, U1, U2, U3
    and
    > U4 then averaging the results. By observing the same event at different
    > locations around the globe and fixing the exact time at which this event
    > took place, the Chinese could then compare their results. By determining
    the
    > differences in the time when the event took place, as observed from the
    > separate locations they could then calculate the difference in longitude."
    >
    > Ummm. I think this is a load of old cobblers for the following reasons:
    > 1)       How did they determine what star was crossing their local
    meridian
    > at the time of U3? To do this they would have needed an accurate clock and
    > done a double altitude shot both ante and post meridian. The author
    > suggested they used a clepsydras (water clock). Would this have been
    > accurate enough? Simply recording maximum altitude would not have told
    them
    > the time of meridian passage.
    >
    > As an experiment I went outside with a compass and tried to visually
    > ascertain true North and which star was crossing my local meridian at a
    > point in time. Impossible.
    >
    > One technique they could have used was to pick a particular star and
    observe
    > its meridian passage (with an unknown instrument) and determine the
    elapsed
    > time either before or after the U3 phase of the lunar eclipse. The time
    > before or after the eclipse could then be compared to that back in Beijing
    > at the end of the voyage. But what does that tell you? Nothing I think.
    >
    > 2)       What instrument did they use to make a sufficiently accurate
    > celestial observation of a star to determine its meridian passage?
    Certainly
    > not a sextant! Did they have telescopes to determine the exact moment of
    U3.
    > I don't think so.
    >
    > 3)       Could this observation have been made without a very accurate set
    > of tables such as a Nautical Almanac?
    >
    > 4)       What happened if no star was crossing the meridian at the time of
    > U3 or was so faint that it could not be observed? As suggested above they
    > may have picked a star and determined the time interval between its
    meridian
    > passage and U3.
    >
    > 5)       The technique requires knowledge of local magnetic variation i.e.
    > the observer is trying to find out when the star crosses his local true
    > meridian. The Chinese knew the difference between magnetic north and true
    > north by reference to Polaris visible at Beijing. Not so once the sailed
    > down into the southern latitudes. Something like a shadow stick is a
    > possibility I suppose.
    >
    > The technique described in the book, as I understand it, would give the
    > Local Apparent Time of a Lunar Eclipse in a distant part of the world
    which,
    > some time later, could be compared to the Local Apparent Time of a Lunar
    > Eclipse in Beijing on the same day. I would appreciate any input from list
    > members because if this assertion is true it requires a complete rewriting
    > of history.
    >
    > Kieran Kelly
    > Sydney
    > Australia
    >
    >
    
    
    

       
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