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Newton and Halley: was Re: the Shovell Disaster
From: George Huxtable
Date: 2007 Nov 15, 00:22 -0000
From: George Huxtable
Date: 2007 Nov 15, 00:22 -0000
As this discussion has taken a different turn, I have relabelled the thread Mike Daly has jumped to some conclusions. I had written- | > And his octant didn't appear until over 20 years later, at its one-and only | > public mention, noted in the Royal Society's Journal Book for 1699, when | > Newton referred to it as having been used at sea by Halley. Mike commented- | It was also published in the Phil.Trans. N. 465 in 1742, described as: | "A true Copy of a Paper found, in the Hand Writing of Sir Isaac Newton, | among the Papers of the late Dr. Halley, containing a Description of an | Instrument for observing the Moon's Distance from the Fixt Stars as Sea." True. What was published in 1742 was was presumably written well before the Royal Society gathering in 1699, being a private note sent to Halley That note is interesting, in that its wording suggests that it predated any attempt to divide the arc of such an instrument, by Newton or by his craftsmen at the Royal Mint, of which he was then Warden. His words described it as being divided "by a diagonal scale, and the half-degrees, half minutes, and one-twelfth minutes, counted for degrees, minutes, and one-sixth minutes." At that point he had obviously not appreciated the sheer impossibility of dividing to 10 arc-seconds by a diagonal scale. No doubt, he would find that out the hard way. I continued- | > For | > example, Halley never even mentioned what instrument he used to obtain such | > precise latitudes, in his three voyages, though it must have been something | > special, to achieve the results he did. And Mike asked- | Latitude or longitude? I was referring to Halley's latitude observations, which have been collected by Ted Gerrard for the three voyages in "Astronomical Minds", and can be referred to in more detail in Thrower's 2-volume "The three voyages of Edmond Halley in the Paramore 1698-1701", Hakluyt Society 1981. In particular, in his English Channel survey of 1701, out of 12 identifiable latitudes, Gerrard quotes two as being in error by 4 miles, 2 by 3 miles, 3 by 2 miles, 2 by 1 mile, and 3 were spot-on to modern values. I suggest that many of us would have been rather proud of such results today, with a modern instrument. Could such results have been obtained with a cross-staff, or a backstaff? But Halley doesn't say a word about what instrument he used. | Halley published his technique in an appendix to the second edition of | "Mr. Street's Caroline Tables" around 1684. He used the time of an | observation of an occultation of a star by the moon (instead of lunar | distances) and the instrument was simply a telescope. What isn't clear | is whether he used this technique on only one or on all three voyages. Not on his third voyage, within the English Channel, when it would be imprecise enough not to improve on the rough longitudes which were already known for headlands. But on the other two, out in the Atlantic. And not, usually, an "occultation", but an "appulse" or near-miss, of the Moon as it passed a star. As near as I could tell, he timed (relative to a star time-sight) the moment when he judged the star to be aligned with an extended line which joined the horns of the Moon. How he allowed for parallax, I do not know. I've seen no mention, in Thrower, of any measurement of lunar-distance that could be identified as such. That does not imply that it didn't happen, however. Halley's method avoided the need for a measure of lunar distance This is the way Halley described his procedure, as referred to in Thrower and in Gerrard.. At the time he was off the coast of Brazil, 7 deg 6' S, 35 deg 00' W, the (converted to Gregorian) date being 7th March 1699. "I observed the Moon to apply to the Bull's Eye [= Aldebaran], and that the star was in a right line with the Moons horns when it was 10 deg 26' high in the West, or at 10h 11' 44" [pm estimated local time] from both which observations I conclude that the Longitude of this coast is a full 36 deg to the Westward of London...". From which he concuded that a previously unknown current had set Paramore Westward 200 leagues. He had discovered the Brazil Current. The star altitude provided his local time, the passing of the star through the line of the Moon's horns provided his Greenwich Time. Other observations were described in similar terms, though usually in less detail. | If he did use lunar distances, it is often suggested that he used | Newton's, which E.G.R. Taylor says was constructed by Thomas Heath and | may have been shown in his shop window. Mike has that quite wrong. Where does Eva Taylor say that? In "The Mathematical Practitioners of Tudor and Stuart England", her entry for Heath says "He exhibited in his shop ... a quadrant on the principle of Hadley's sextant which had been designed by Isaac Newton c. 1677 for finding lunar distances". As Thomas Heath flourished in the period 1714-65, he was of quite a different generation from Newton. He added- | However, I can't find much to | support the claim that Halley used Newton's. Well, what I referred to were Newton's words, as recorded in the Royal Society's Journal Book for 1699, when Newton referred to his instrument, in Halley's presence, as having been used at sea by Halley. Halley was in London, in the short interval between his two Atlantic voyages to survey magnetic variation. Here is what the record states, on 16th August 1699- "Mr Newton showed a new instrument contrived by him for observing the moon & Starrs, the Longitude at Sea, being the old Instrument mended of some faults, with which notwithstanding Mr Hally had found the Longitude better than the Seamen by other means". Mike concludes- It is also possible he | used one of his own design, the "folding-telescope on a radio latino | with a screw adjustment" described in Cotter's "The Mariner's Sextant | and the Royal Society". I don't know that work of Cotter's, and would welcome a more detailed citation, if it's in a journal. But I have Cotter's "History of the Navigator's Sextant", 1983, which shows Halley's "Instrument of Observing at Sea" on page 109, and states that it was described to the Royal Society in 1692. From Cotter's diagram, showing an instrument with a screw adjustment, then if that's the same instrument, I can't see how it could possibly have worked (but that doesn't prove that it couldn't). However, Cotter himself concludes "There is no evidence that Halley's instrument was ever tested at sea". PS. If Ted Gerrard's book is of interest, you can order it direct from www.samosbooks.org at �13.95 (about $29) and free worldwide (surface) shipping is included. George. contact George Huxtable at george@huxtable.u-net.com or at +44 1865 820222 (from UK, 01865 820222) or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK. --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---