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The section concentrated on gunnery. Thompson and Adams were acknowledged gun experts. Thompson played a major part in the selection of the Browning.
Hill's main contribution was in working with gunsights and armament trials in which he could bring to bear his mathematical abilities.
In accordance with civil service practice at the time discoveries made by civil servants could be patented by them. He was awarded several secret patents  relating to reflector gunsight improvements, including the ability to adjust for range.
He also patented the use of monochromatic light in gun sights the s equivalent of the modern red dot sight and was awarded patents for improvements to machine gun muzzle locks and machine gun synchronisation gear.
In Air Vice-Marshal Hugh Dowding asked for air firing trials to be carried out to determine the accuracies that could be obtained at the faster aircraft speeds now being achieved.
A long series of air firing trials were carried out between and which produced large amounts of data that had to be analysed and summarised by Hill.
Often working through the data late at night at home, and helped by a mechanical calculator which he had borrowed from his place of work, Hill would draft in his thirteen year old daughter, Hazel, to assist with the calculations  which would be remembered.
Hill served on the AFC until the outbreak of war. The future tactics of the RAF were worked out by this Committee which is credited with instigating the multi-gun fighter specification leading to the Hurricane and Spitfire, the adoption of the reflector gunsight and the mechanically driven gun turret, among other pre-war developments.
Hill carried out various tests and trials for the AFC including on armoured glass requested by Dowding which was later fitted to fighter windscreens.
Keith records that he sent Hill to France to investigate a mystery weapon that was claimed to bring down power lines. Hill filed a negative report.
Many problems had to be overcome such as condensation, sunlight reflection, composition of lenses and of course each different plane presented its own installation problems.
In August he arranged trials of an 0. Air Chief Marshall Dowding was sufficiently concerned, despite this being the height of the Battle of Britain to attend and he wrote with his impressions to Lord Beaverbrook then Minister for Air Production the same day.
Adams was superior to the 0. At the beginning of the war there were problems with the Browning machine gun overheating  and fouling.
Hill was involved in tests on heating and fouling and the introduction of the muzzle attachment designed by BSA. In April C.
He recognised the need for a scientist to explain some of the stranger ballistic effects that were appearing as fighter speeds increased and arranged for Hill to be transferred from Farnborough , initially for a limited time.
He remained there until the end of the war when he returned to the Air Ministry which by then had become part of the Ministry of Supply.
Hazel 21 July September was only 13 when she helped her father Frederick to calculate how many guns the new generation of Spitfires and Hurricanes would need to have, to bring down enemy aircraft.
Hazel's son Robin, said he thinks his mother enjoyed maths because she was partially dyslexic and had trouble with spelling.
This led to some teachers thinking she was being naughty as she was obviously intelligent. After school, Hazel studied medicine at a university in London and joined the Royal Army Medical Corps after graduating in At the end of the war, she became a GP and in married Chris Baker, who was one of the soldiers she had treated in the war.
The couple moved to Wednesbury , Staffordshire, where Hazel got a job setting up a child health clinic in the newly formed National Health Service.
She later trained as a psychiatrist and published research into school phobia, anorexia and autism. Hazel has four sons: Robin, Richard, Frank and Ted.
She died, aged 90, in From Wikipedia, the free encyclopedia. For the Canadian general, see Frederic William Hill. Battle of Britain.
Quercus Publishing Plc. London, p. Eagles High. After high school, Hill attended Rutgers College , where he became interested in mathematics.
At Rutgers, Hill came under the influence of professor Theodore Strong , who was a friend of pioneering US mathematician and astronomer Nathaniel Bowditch.
Hill graduated from Rutgers College in , with a Bachelor of Arts degree. In that same year he published his first scientific paper, on the geometrical curve of a drawbridge.
Two years later he earned a prize from the Runkle Mathematical Monthly for his work on the mathematical theory of the figure of the Earth.
In Rutgers awarded Hill a Master of Arts degree. Hill lived for a while in Cambridge and later in Washington, D. Hill's mature work focused on the mathematics of the three-body problem , and later the four-body problem, to calculate the orbits of the Moon around the Earth , as well as that of planets around the Sun.
Hill was able to quantify the gravitational sphere of influence of an astronomical body in the presence of other heavy bodies, by introducing the concept of the zero-velocity surface.
The space within this surface is now known as the Hill sphere and it corresponds to the region around a body within which it may capture satellites.
In , Hill provided the first complete mathematical solution to the problem of the apsidal precession of the Moon's orbit around the Earth, a difficult problem in lunar theory first raised in Isaac Newton 's Principia Mathematica of Hill's work attracted the attention of the international scientific community, and in he was chosen as president of the American Mathematical Society , serving for two years.
Hill lectured at Columbia University from to , but he attracted few students and he ultimately chose to return his salary and to continue working alone in his home in West Nyack, rather than within academia.
This reserve, I was going to say this savagery, has been a happy circumstance for science, because it has allowed him to complete his ingenious and patient researches.
He also became a member of the Royal Society of Edinburgh in , and of the scientific academies of Belgium , Norway , Sweden , and the Netherlands He never married and had no children.
From Wikipedia, the free encyclopedia. American mathematician. For other people named George Hill, see George Hill disambiguation.
New York City , U. West Nyack , New York, U. Hill differential equation Hill sphere Lunar theory. The Biographical Encyclopedia of Astronomers.
Retrieved August 22,