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Apologies

Screwed the pooch.  Not meant for the list.

Bill
----------
> From: Bill 
> Date: Mon, 28 Feb 2005 00:32:26 -0500
> To: Navigation Mailing List 
> Subject: Celestaire Bubble Horizon
>
>> on 2/11/05 7:22 AM, Jim Thompson at jim2@JIMTHOMPSON.NET wrote:
>>
>> -----Original Message-----
>> From: Navigation Mailing List [mailto:NAVIGATION-L@LISTSERV.WEBKAHUNA.COM]On
>> Behalf Of Frank Reed
>> Sent: Friday, February 11, 2005 12:20 AM
>> To: NAVIGATION-L@LISTSERV.WEBKAHUNA.COM
>> Subject: Re: More on Thomas Hubbard Sumner
>> George H wrote:
>> "What surprises me, is that it took until 1837 for navigators to realise
>> that a useful position line could be drawn from a single observation of the
>> altitude of a body, even if it wasn't at meridian passage."
>>
>> ... Plotting a celestial line of position would have seemed alien and
>> inexact when first proposed.
>>
>> And yet Sumner's pamphlet was ordered onto all US Navy ships the year it
>> came out, although by then Sumner had spent 6 years verifying, refining and
>> writing up his manuscript.  His pamphlet is still very convincing to read,
>> partly because it was written so logically, and partly because it was
>> verified with so many real examples by a practising ship's captain who used
>> the method at sea himself.  At publication it had the endorsement of a
>> highly regarded Harvard mathematics Professor, who had written to Bowdtich,
>> so those clear-thinking experts, might have promptly focussed the navigation
>> community on Sumner's discovery.  From Vanvaerenbergh and Ifland, we know
>> that he had been talking about his ideas prior to publication.  It was
>> rapidlly adopted in the UK, but only slowly in France, which explains
>> perhaps why it was still there for Saint Hilaire, 40 years later.
>>
>> He opens his Introduction with this glorious single-sentence paragraph:
>>
>> "It is not so much the object of this work to present the navigator with a
>> new method of 'Double Latitudes', as to afford him an accurate method of
>> finding, by one Altitude of the Sun taken at at any hour of the day, wiht
>> the Chronometer time, the True Bearing of the Land, the Latitude, &c.,
>> being, from any cause, uncertain; and to place him on his guard, when near a
>> dangerous coast (and all coasts are dangerous when the Latitude is not
>> accurately known) against those errors of Longitude by Chronometer, which
>> arise from an erroneous Latitude used in finding the apparent time at the
>> ship; directing, particularly, his attention to the fact, as shown in these
>> pages, that when the Latitude is uncertain, a single altitude of the sun, at
>> any time of day, whne not less than say 7 degrees high, is, with a good
>> Chronometer, as useful as a Meridian Observation for Latitude ;  and the
>> errors above alluded to are rendered apparent."
>>
>> In the Introduction, he also hints at extant navigators' thinking:
>>
>> "...the fact, that ship-masters universally understand, and daily practice
>> the numerical calculation, namely, that of finding the apparent time at the
>> ship, which is the only one used."
>>
>> "Many navigators, having taken morning sights for the Chronometer, supposing
>> the observation useless without 'the Latitude', wait for the meridian
>> observation, in order to deduce the Longitude by Chronometer; or, if the sun
>> be obscured till afternoon, think a single altitude under such circumstances
>> is of small value ; and, by the common methods, with good reason ; for then
>> the Latitude by dead reckoning form the preceding noon, must, in general, be
>> used to find the apparent time of the ship ; and here is the source of error
>> ; because, 26 to 30 hours having probably elsapsed, in such time the ship
>> may have sailed 250 to 300 miles ... cause an error in the Latitude by dead
>> reckoning, and consequently in the Longitude by Chronometer.'  {Jim: we
>> always talk about the "quest for longitude", but forget that in the early
>> 1800's there was a less advertised and perhaps less understood "quest for
>> accurate latitude".]
>>
>> "None of the works on Navigation, within the writer's knowledge, exemplify,
>> or even hint at this important source of error" [Jim: he was referring to
>> error in estimating longitude owing to error in dead reckoning the latitude,
>> which was a necessary ingredient for calculating longitude] "but merely
>> direct the observations be taken when the sun bears nearly 'East or West as
>> possible', but it is impossible, for nearly 7 months in the year, to observe
>> the sun in the East or West points."
>>
>> "It is hoped, that the 'Method by Projection', which explains these errors,
>> and renders a single altitude, taken at any bearing of the sun, available,
>> in a similar manner as a Meridian Observation, will supply a want which
>> every practical navigator must have frequently experienced." [Jim: he was
>> referring to accurate latitude.]
>>
>> I think his most convincing evidence is the last plate, which he mentions in
>> the last sentence of his Introduction, almost as an afterthought.  It shows
>> their trip from the Mississippi, through the Gulf of Mexico, around Florida
>> and then north up the coast.  He was out of sight of land the whole time,
>> and in waters plaqued with strong currents, which made dead reckoning
>> treacherous.  His plate shows 3 tracks: (1) if done by dead reckoning alone
>> (they would have thought that they had sailed past the tip of Florida and
>> could turn north safely, if they had not grounded on Cuban beaches on the
>> way, but in fact they were still in the Gulf and would have grounded at
>> Tallahassee), (2) if done by dead reckoning modified by noon sights alone
>> (miles out compared to #3), and (3) their true track made good, determined
>> by using his procedures (tacked precisely between the Florida keys and
>> Cuba).  Studying that chart, I imagine that any navigator of the day could
>> see the advantages of studying the rest of the book.  I can imagine rushing
>> into a tavern to show that plate to buddies, if only for the obviously
>> interesting sea tale it told.
>>
>> Sumner was pleased with this plate because it proved how his method made it
>> possible to more accurately calculate the various currents in the Gulf.  His
>> mind really did soar -- he had found a better way not only to navigate, but
>> also do to oceanography.
>>
>> On re-reading his pamphlet this morning, I was stunned to finally understand
>> that he also clearly discovered the Celestial Fix!!  Page 11: "And likewise
>> if two altitudes be observed, the times being noted by Chronometer, and the
>> two lines, corresponding to the two altitudes, be projected as before, then
>> both the true Latitude and the true Longitude is found at the intersection
>> of the two projected lines."  Wow -- I had not heard that before about
>> Sumner, but it only seems logical.  (I should have read Vanvaerenbergh and
>> Ifland more carefully).  The term "line of position" did not surface until
>> about 1866.  I don't know about the term "fix".
>>
>> He took brilliant advantage of special cases during his voyages.  In another
>> example, his ship was becalmed at 25W, 44N.  Because he was basically not
>> moving (about 1 knot, he wrote), his two sights varied primarily in time,
>> about one hour.  The mid-morning sun's altitude climbed from 14 to 19
>> degrees.  He worked out the lat/longs of the two sights each twice, using
>> latitude 43d and 44d.  That produced two LOPs subtended by a small angle.
>> "It is seen that these two lines intersect each other in Latitude ... which
>> is the true Latitude, and the true Longitude is ...".  He had plotted a
>> celestial fix, in January 1939.
>>
>> It seems to me as though the world then was ripe for the idea, hot tinder
>> waiting for the match, as if everyone had it on the tips of their minds, but
>> could not put it into practice.  Richardson suggests that another feature
>> distinguishing Sumner was that, for some reason, he took the time out to
>> nail his ideas down and finish a 25,000 word manuscript.  Perhaps other
>> navigators had the same idea over years prior, but procrastinated, perhaps
>> attending to ship's business, a snooze after lunch or a good novel, rather
>> than hauling out old notes and going over them yet again.  So they lost the
>> opportunity to beat Sumner to his well-deserved place in history.
>>
> Ken
>
> For optimal results with Celestaire's Johnson practice-bubble horizon for Sun
> and Moon observations (and acknowledging corrections to Hs/Ha differ in each
> case), would you recommend:
>
> 1.  Centering the Sun/Moon on the hairline?
>
> 2.  Observing the body's limb tangent to the hairline?
>
> Thank you
>
> Bill

   

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