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Longitude
          A story of life and
death, politics, mathematics, academi
  c snobbery and one very talented
Scilly naval disaster of 1707
The biggest maritime disaster in British history
                Four naval ships lost


            Why?
                            2000 sailors died
Sir Cloudesley
Shovell, the
commander of this
naval fleet,
was lost!
Longitude error
Why is latitude easy …
             … and longitude difficult?
Also known as the
    “Board of
        Longitude Act 1714
   Longitude”
   Establish: Commissioners for the Discovery
             of the Longitude at Sea
            Define Longitude prizes:
    £10,000 for a method that could Equivalent to
                                     determine
   longitude within 60 nautical miles₤2,9 million
                                      (111 km)
    £15,000 for a method that could determine
                                        today!
    longitude within 40 nautical miles (74 km)
    £20,000 for a method that could determine
    longitude within 30 nautical miles (56 km)
Longitude problem: two
  schools of thought

          Measurements
          and calculations
              based on
            catalogue of
          heavenly bodies
Longitude problem: two
   schools of thought




   Post of Astronomer
     Royal, seated at
Greenwich, was established
Longitude problem: two
       schools of thought


        Every hour time
        difference = 15°
      longitude difference    … and if the local
                             time is determined
If the time at a specific
   longitude is known
John
Harrison, clockmake
          r
  No formal training

His first clock was made
         of wood!
Built clock with bi-metal
pendulum to retain accuracy
irrespective of temperature
          variations




                Inventor of the
          “grasshopper escapement”
Problem: a pendulum
 based clock cannot
  work on board a
    pitching ship

   Harrison solved this problem
through the use of a new oscillating
            movement
Harrison’s first
            maritime clock, H1
             Built between
             1730 and 1735



  The Board of Longitude were
 impressed – the only negative
comments came from Harrison!
Harrison’s second
maritime clock, H2
 Built between
 1737Made 1740
       and
     for His Majesty
    George The IInd
By order of a Committee
  Held on 30th of June
          1737
  H2 was praised by the
 Board of Longitude, but
Harrison was not satisfied
This is H3, built
    with circular
      balances.
   Built between
   1740 and 1759,
      19 years!


Again, Harrison was
   not satisfied!
Before H3 was completed, in
1755 he started to work on H4
  – a revolutionary design!
H4 was completed in 1761.
Harrison’s son, took
the watch on a ship
 that departed on
18 November 1761
   and arrived in
    Jamaica on
  19 January 1762
The watch was only 5,1 seconds slow!
A second test of H4 was done in 1764
      on a voyage to Barbados.
 After a voyage of 47 days, H4 was
  found to have an error of only
           39,2 seconds!
    An error less than   1000th   %!
This was 3x the accuracy required to
conform to the requirements set by
      the Board of Longitude.
The Board of Longitude decided this
         result was a fluke.
   Harrison was instructed to build
      another clock for testing.
 Harrison was told to reveal all his
    secrets and hand over all his
mechanisms and design documents to
             the Board.
Why?
In 1765 Rev. Dr. Nevil
Maskelyne was appointed
as the Astronomer Royal
   based at Greenwich
Rev. Dr. Nevil Maskelyne despised
Harrison’s approach to the Longitude
              problem


        “The Longitude problem is a
        mathematical problem, not a
           mechanic’s problem”
Rev. Dr. Nevil Maskelyne was also a
member of the Board of Longitude

         He was a proponent of the
          Lunar Distance Method, a
          complex process requiring
          complex measurements of
         the moon, three calculation
         steps and extensive lookup
                    tables
He accompanied the H4 on the test
voyage – but to take measurements to
 calibrate lookup tables for the Lunar
            Distance Method
Harrison then
built H5 from
1769 till 1772




But Harrison (aged 79) had enough
On 31 January 1772 he had an
    audience with King George III
        The King’s response:
“... these people have been cruelly
             wronged...”
 “By God, Harrison, I will see
            you righted!”
H5 was put on trial by the King himself
  in 1772, and performed superbly.
The Board of
  Longitude, however, refused to
recognise the results of this trial, so
   John and William petitioned
            Parliament.
They were finally awarded £8750 by
  Act of Parliament in June 1773.
  Perhaps more importantly, John
 Harrison was finally recognised as
having solved the longitude problem.
The Board of Longitude
was abolished by Act of
 Parliament in 1828
H1, H2, H3 and H4 are on display at
the Royal Observatory, Greenwich

 H1, H2, and H3 are still running!
Longitude

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Longitude

  • 1. Longitude A story of life and death, politics, mathematics, academi c snobbery and one very talented
  • 2. Scilly naval disaster of 1707 The biggest maritime disaster in British history Four naval ships lost Why? 2000 sailors died
  • 3. Sir Cloudesley Shovell, the commander of this naval fleet, was lost!
  • 5. Why is latitude easy … … and longitude difficult?
  • 6. Also known as the “Board of Longitude Act 1714 Longitude” Establish: Commissioners for the Discovery of the Longitude at Sea Define Longitude prizes: £10,000 for a method that could Equivalent to determine longitude within 60 nautical miles₤2,9 million (111 km) £15,000 for a method that could determine today! longitude within 40 nautical miles (74 km) £20,000 for a method that could determine longitude within 30 nautical miles (56 km)
  • 7. Longitude problem: two schools of thought Measurements and calculations based on catalogue of heavenly bodies
  • 8. Longitude problem: two schools of thought Post of Astronomer Royal, seated at Greenwich, was established
  • 9. Longitude problem: two schools of thought Every hour time difference = 15° longitude difference … and if the local time is determined If the time at a specific longitude is known
  • 10. John Harrison, clockmake r No formal training His first clock was made of wood!
  • 11. Built clock with bi-metal pendulum to retain accuracy irrespective of temperature variations Inventor of the “grasshopper escapement”
  • 12. Problem: a pendulum based clock cannot work on board a pitching ship Harrison solved this problem through the use of a new oscillating movement
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  • 15. Harrison’s first maritime clock, H1 Built between 1730 and 1735 The Board of Longitude were impressed – the only negative comments came from Harrison!
  • 16. Harrison’s second maritime clock, H2 Built between 1737Made 1740 and for His Majesty George The IInd By order of a Committee Held on 30th of June 1737 H2 was praised by the Board of Longitude, but Harrison was not satisfied
  • 17. This is H3, built with circular balances. Built between 1740 and 1759, 19 years! Again, Harrison was not satisfied!
  • 18. Before H3 was completed, in 1755 he started to work on H4 – a revolutionary design!
  • 19. H4 was completed in 1761. Harrison’s son, took the watch on a ship that departed on 18 November 1761 and arrived in Jamaica on 19 January 1762 The watch was only 5,1 seconds slow!
  • 20. A second test of H4 was done in 1764 on a voyage to Barbados. After a voyage of 47 days, H4 was found to have an error of only 39,2 seconds! An error less than 1000th %! This was 3x the accuracy required to conform to the requirements set by the Board of Longitude.
  • 21. The Board of Longitude decided this result was a fluke. Harrison was instructed to build another clock for testing. Harrison was told to reveal all his secrets and hand over all his mechanisms and design documents to the Board.
  • 22. Why?
  • 23. In 1765 Rev. Dr. Nevil Maskelyne was appointed as the Astronomer Royal based at Greenwich
  • 24. Rev. Dr. Nevil Maskelyne despised Harrison’s approach to the Longitude problem “The Longitude problem is a mathematical problem, not a mechanic’s problem”
  • 25. Rev. Dr. Nevil Maskelyne was also a member of the Board of Longitude He was a proponent of the Lunar Distance Method, a complex process requiring complex measurements of the moon, three calculation steps and extensive lookup tables
  • 26. He accompanied the H4 on the test voyage – but to take measurements to calibrate lookup tables for the Lunar Distance Method
  • 27. Harrison then built H5 from 1769 till 1772 But Harrison (aged 79) had enough
  • 28. On 31 January 1772 he had an audience with King George III The King’s response: “... these people have been cruelly wronged...” “By God, Harrison, I will see you righted!” H5 was put on trial by the King himself in 1772, and performed superbly.
  • 29. The Board of Longitude, however, refused to recognise the results of this trial, so John and William petitioned Parliament. They were finally awarded £8750 by Act of Parliament in June 1773. Perhaps more importantly, John Harrison was finally recognised as having solved the longitude problem.
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  • 31. The Board of Longitude was abolished by Act of Parliament in 1828
  • 32. H1, H2, H3 and H4 are on display at the Royal Observatory, Greenwich H1, H2, and H3 are still running!