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FINDING LONGITUDE Library Catalogue
     The concept of Latitude and Longitude was introduced by the astronomer Prolemy in about 150 AD. During the Renaissance these imaginary lines were used in practical navigation. Mariners could take sightings of the sun and stars to find a reasonably accurate position north or south - the latitude. However, finding longitude was a baffling problem for the greatest brains in astronomy, mathematics, physics. horology and navigation until a practical solution was found in the 18th century. Losses at sea were reaching national disaster proportions. One of the worst was when a British fleet returning from Gibralter in 1707 encountered a gale and found itself among the Scilly Isles where 4 ships and about 2000 men were lost.
     Sea Power was vital to the more powerful rival trading nations of the day and so several governments offered huge rewards to anyone who could find a method of accurately establishing longitude. Without benefit of radio communication an essential property of the device was that it had to be carried on board a ship and still have the required accuracy. A method found by Galileo was to observe the eclipses of the Jupiter moons at night - and then with a table of times when the eclipses occurred in relation to a particular meridian the mariner could measure the difference between this and local time on the ship from a star fix to find his longitude, allowing one degree of longitude to 4 minutes of time.  The problem with such a method was that it was virtually impossible to observe the eclipses with a telescope from a ship at sea or from any other irregularly moving platform.
One method used was the folded universal ring dial which was suitable for use at sea. The inner equatorial ring is turned at right angles to the outer meridian ring. The bridge (crosspiece) is turned flat and to the correct latitude and the slide with a pinhole moved along the bridge to the correct date.  When the instrument is suspended from a cord and a spot of sunlight falls on the equatorial ring, the spot shows the local time.  Overall not very accurate
     The answer to the problem was to be found in the the production of a device that could maintain time accurately enough on board ships of the day.  To give a position to within 100 Kms after a 6 week voyage a timepiece would have to keep time to within 6 seconds a day.  Such a degree of accuracy was a fantasy at the start of the 18th century - despite the efforts of renowned people like Isaac Newton, Edmond Halley and Christian Huygens who designed a pendulum based machine specifically for finding longitude at sea.  However' the pendulum stopped during a ship's pitching and rolling and it would behave erratically when applied gravity varied as the ship rose and fell.
      Nations offered substantial rewards to find a solution.  The largest prize offered was £20,000 by the British Parliament in 1714. To win this, longitude had to be established to an accuracy of 30' of arc.  Lesser sums were offered for accuracies of 40' of arc (£15,000)  and 60' of arc (£10.000).  A Board of Longitude was set up to examine proposals, and during its existence from 1714 to 1828 paid out the huge sum of £100,000. The problem was solved by  a carpenter and joiner who had taught himself to repair clocks before joining with his brother to make a few precision clocks with wooden movements and wheels which were so brilliant that they kept time to within a few seconds per month. His name was John Harrison and he had no formal education.  Fortunately he had a persistent nature which became important when he had to deal with the board and all the associated politics. The Royal Astronomer was Edmonds Halley who directed Harrison to another renowned clock and instrument maker called George Graham who helped finance the project.
     Harrison was to take another 30 years to build a successful sea-going timekeeper. His first attempt (H1) weighed 33kg and was 120cms in every dimension. It had 2 large interconnected balances - centrally pivoted arms with a heavy ball on each end. The brass balls of one balance were connected by helical springs to the balls of the other. Other devices from his precision clocks were also incorporated. The dial on the right showed hours, the left - minutes, the top - seconds, with day of the month at the bottom. H1 performed well; however neither the board nor Harrison were totally satisfied. Two later versions were designed and completed, H2 by 1739 and H3 in 1755. Both of these were large machines so Harrison set out to build his most famous timepiece which was to be known as H4
JOHN HARRISON
H 1
120cm X 120cm
H2
140cm X 60cm
H3
60cm X 30cm

     An essential problem solved by Harrison was that of rate correction. He had to make a timepiece that was predictable in its consistency of going. If it gains a second a day all the time it will be 100 seconds fast after 100 days and an accurate correction can be applied.  However if it can vary from a second fast to a second slow it is impossible to know whether it is slow, fast or on time. So after 100 days it could be anywhere from 100 seconds slow to 100 seconds fast - not accurate enough to claim any of the prizes.
     Trials for the H4 were controversial because Harrison would not divulge details of the machine and the results were so accurate that board members thought it might be a fluke. Furthermore, Harrison was paranoid about having his work stolen and the board's technical knowledge was wanting. A second trial was conducted to Barbados under the scrutiny of the board and 4 mathematicians and the results showed the watch to be 3 times more accurate than necessary to win the top prize. The Royal Astronomer at this time (1765), and also a board member, was Nevil Maskelyne who had pushed for other methods to solve the longitude problem; consequently he and Harrison clashed. Harrison was awarded only half the prize dependent on satisfactory explanations of the principles involved with the balance to be paid after other timekeepers had been made and tested. Harrison was by now 72 years old. Until he died in 1776 Harrison continued to clash with Maskelyne and Harrison only managed to get another £8,750.

H4  -  13.5 cm Diameter Harrison's H4 Mechanical Notes
     Captain Cook took H4 on his 2nd Voyage in 1772. and a development called K2 on his 3rd Voyage in 1776.  Captain Bligh was also using K2 at the time of the mutiny.
     Even though Harrison was the first to solve the longitude problem it is an irony of his inspiring qualities, that despite its feats of timekeeping, H4 had very little effect on the development of the true chronometer.
      It is interesting to note that accurate timing signals are the basis for the very accurate modern day navigation with the Global Positioning System (GPS) - even though this system has nothing to do with local or meridian times.

GLOBAL POSITIONING SYSTEM (GPS) Library Catalogue
      GPS satellites carry atomic clocks that measure time to a high degree of accuracy. The time information is placed in the codes broadcast by the satellite so that a receiver can continuously determine the time the signal was broadcast. The signal contains data that a receiver uses to compute the locations of the satellites and to make other adjustments needed for accurate positioning. The receiver uses the time difference between the time of signal reception and the broadcast time to compute the range to the satellite. The receiver must account for propagation delays caused by the ionosphere and the troposphere. With three ranges to three satellites and knowing the location of the satellite when the signal was sent, the receiver can compute its three-dimensional position.
To compute ranges directly, however, the user must have an atomic clock synchronized to the global positioning system. By taking a measurement from an additional satellite, the receiver avoids the need for an atomic clock. The result is that the receiver uses four satellites to compute latitude, longitude, altitude, and time.
     GPS has three segments: space, control, and user. The space segment includes the satellites and the Delta rockets that launch the satellites from Cape Canaveral in Florida, United States. GPS satellites fly in circular orbits at 17,440 km (10,900 mi) altitude, each lasting 12 hours. The orbits are tilted to the equator by 55° to ensure coverage in polar regions. Powered by solar cells, the satellites continually orientate themselves to point the solar panels towards the Sun and the antennas towards the Earth. Each satellite contains four atomic clocks.
      The control segment includes the master control station at Falcon Air Force Base, Colorado Springs, Colorado and monitor stations at Falcon AFB, Hawaii, Ascension Island in the Atlantic, Diego Garcia in the Indian Ocean, and Kwajalein Island in the South Pacific. The control segment uses measurements collected by the monitor stations to predict the behaviour of each satellite's orbit and clock. The prediction data is linked up to the satellites for transmission to users. The control segment also ensures that GPS satellite orbits remain within limits and that the satellite clocks do not drift too far from nominal behaviour.
      User segment is a term originally associated with military receivers. Military GPS user equipment has been integrated into fighters, bombers, tankers, helicopters, ships, submarines, tanks, jeeps, and individual soldiers' equipment. In addition to basic navigation activities, military applications include target designation, close air support, "smart" munitions, and rendezvous. GPS is found on the space shuttle.
      With millions of GPS receivers, the civil community has its own large and diverse user segment. Even before a full complement of satellites was in orbit, surveyors were using GPS to save days or weeks over standard survey methods. GPS is now used by aircraft and ships for en route navigation and airport or harbour approach. GPS tracking systems monitor delivery vans and emergency vehicles to provide optimum advice on routes. In a method called "precision farming" GPS is used to monitor and control the application of fertilizer and pesticides. It is also available as an in-car navigation aid and is used by hikers.
     The practical use of GPS by mariners still requires requires a plot to be kept - either electronically or manually. Electronic charts built into some GPS units still need cross checking against against the proper current chart for the appropriate area. Where there is no built-in electronic chart standard navigational techniques need to be applied while treating the GPS as an accurate navaid.

For a comprehensive in-depth coverage of GPS visit
                              http://www.colorado.edu/geography/gcraft/notes/gps/gps_f.html

BLEEDING A DIESEL FUEL SYSTEM Library Catalogue
     Downstream from the fuel filter the fuel system in a diesel engine should be free of air. Even a small air leakage into the system can cause malfunctions - ranging from misfiring to complete engine stoppage.  The presence of unwanted air is usually best detected by loosening the bleeder screw or other plug at the high pressure fuel pump and seeing if the escaping fuel contains small bubbles or is cloudy in appearance. An alternative place to check is at a fuel line connection / join upstream of the injectors.  If the engine is allowed to run out of fuel trouble can be expected as air is likely to enter the system.  Therefore it is a good idea to keep a minimum level of about one fifth in the tank.
     To remove the air from the fuel system open the line at the filter and operate the priming pump until the fuel trickle from the line or bleeder screw is clear of bubbles. When the fuel is clear close off and repeat the procedure at other points in the system upstream of the injectors.  If an injector line is loosened the engine will need to be turned over by hand.
     Each diesel engine will have slightly different recommended methods for bleeding fuel lines.  The manual should be read and the procedure practiced in calm water so that if it needs to be done in rough conditions the risk of confusion is reduced.

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