The greatest testament to the character of the sharp-minded mathematician and pioneering Salford-born oceanographer Arthur Thomas Doodson may be that legendary colleague Joseph Proudman valued his “honourability, great personal kindness and keen sense of humour” as highly as his genius and contribution to the Allies’ victory in World War Two.
When thousands of ships gathered off the Normandy coast in 1944 for the largest military seaborne operation ever attempted, one that would pave the way for the liberation of Nazi-occupied Europe, it was Doodson who had predicted the perfect time to strike.
In 1942, the 52-year-old began working on models of tide-prediction machines capable of revealing when the sea would be at high and low tide. The Navy caught wind of his skill and sent a ‘most urgent’ letter asking when the operation should take place. Working alongside a team of local women from near the Bidston Observatory in Birkenhead, Doodson calculated that the D-Day landings were to be carried out between 5 and 7 June.
After stormy weather set back the operation by a day, his pinpoint predictions allowed Allied forces to storm the Normandy beaches and gain a foothold in France, which would prove pivotal in the defeat of fascism in Europe.
It would be remiss to boil Doodson’s career down to this achievement, given that his wartime contribution came despite a “conscientious objection to war work on religious grounds,” and Proudman’s observation that his friend’s life had been “dominated by religion” since his mid-twenties.
The devout Christian was received into a breakaway sect of the Plymouth Brethren and by the time he reached his 50s, he regularly chaired conferences and represented the group in a senior position. He excelled in both his scientific and religious commitments despite becoming deaf at 19.
Doodson was born in Boothstown in Salford on 31 March 1890 to Thomas, the manager of a local cotton mill and his wife Eleanor, whose family worked in the declining blacklead pencil manufacturing industry. From these humble surroundings, Doodson shone early on, showing a strong willingness to learn and an enjoyment of reading.
He attended the village school and took every opportunity for self-education. This was a characteristic of his throughout his career. “In later life, he claimed that he had gained little from normal courses of education or from the studies of others,” wrote Proudman in his obituary.
Such was his determination to become an expert mathematician that, before he turned 13, he travelled from Boothstown to nearby Leigh to study the subject. He was the youngest pupil in the class but scooped up prizes for his exceptional intellect. The teenager began teaching his Salford classmates and appeared destined for work as a professor – until misfortune struck and he became deaf before his twenties, forcing him to abandon the career.
During his second year at the University of Liverpool, the trajectory of Doodson’s life changed dramatically. He abandoned teacher training classes under time pressure, choosing to prioritise his studies in Chemistry and mathematics. Despite his severe hearing difficulties rendering lectures largely inaccessible, he went on to graduate with a first-class degree but had long given up on his hopes of becoming a teacher.
He was persuaded to work for an honours degree in mathematics by a lecturer and was forced to rely on the goodwill of other students who lent him money as his father’s funds ran dry and his teacher training bursary ran out.
“By what appeared on the blackboard and by the kindness of fellow students who allowed him to oversee their lecture notes, he managed quite well. In 1912, he obtained a first-class honours degree and won the Ronald Hudson Prize for Geometry,” said Proudman, reflecting on Doodson’s unlikely road to academic success.
Despite strong academic credentials, prevailing stigma around disability made employment difficult. He took a post as a meter-tester with the Manchester electrical engineering firm Ferranti, where he remained for two years while returning to Liverpool University in 1913 as a research student under Proudman. There, he applied his technical expertise to calculating army shell trajectories during the First World War.
The watershed moment in Doodson’s career came after the end of the war. The Salfordian had the conviction to turn down an invitation to continue with ballistic work, which paid off in 1918 when Proudman headhunted him to become chief of staff at a newly formed Tidal Institute funded by Liverpool University.
Having grown up in Boothstown, “a small village with very few amenities, he was largely cast on his own resources,” recounted Proudman. Now, propelled by the University’s financial backing, purpose-driven Doodson work tirelessly to shape the institute in his image and push the boundaries of tidal research.
In 1924, he produced Liverpool Port’s first tide table to help ships navigate safely. From there, he went on to make landmark discoveries into how wind and atmospheric pressure affect sea levels and predicted tidal currents. He developed ‘Doodson numbers’, a six-digit coding system that classifies the astronomical components of the tides, making complex tidal calculations easier to organise and compute. Decades later, his genius number system would inform his decision when the Normandy invasion should be launched.
The First World War fuelled growing interest in tide-predicting machines, and Liverpool shipowners, recognising Arthur Thomas Doodson’s talent, funded the purchase of an early model from the Glasgow firm Kelvin and White. He tinkered with the primitive analogue computer and, as both the technology and his methods improved, went on to produce tide tables for much of the world’s seas and ports.
This work primed him for the Navy’s ‘top-secret’ request to help coordinate the D-Day landings. His work would later be famed as a crucial wartime contribution, and he was awarded a CBE by Queen Elizabeth II in 1956.
“Doodson felt that he ought to have lived at a slower rate than he did,” said Proudman. His health declined in later years, and he suffered blood clots affecting the arteries in his brain and those supplying the heart, from which he recovered. He died on 10 January 1968, aged 77, in Birkenhead.
The renowned Salford oceanographer married twice during his lifetime. He wed Margaret Galloway in 1919, the daughter of a tramways engineer from Halifax. The couple had two children, though their daughter later died in 1936. Margaret herself died shortly after giving birth to their son in 1931. He went on to remarry in 1933, taking Elsie May as his wife, who would survive him.
Doodson, the “quiet-minded” boy from Boothstown who never let misfortune, his disability and hardship stand in his way of improving the world, left behind an enduring legacy as a key wartime contributor, pioneering mathematician and a true Salford hero.
