A grant of 3,000 pounds, equivalent to 473,000 pounds in 2025, was awarded by the British government to the widow of Tobias Mayer in recognition of his lunar tables. These calculations provided a method to determine longitude at sea to within half a degree, solving a critical navigational challenge of the mid-eighteenth century.
Early Development and Cartography
Born in Marbach am Neckar in 1723, Mayer spent his youth in Esslingen under impoverished conditions. A self-taught mathematician, he began his professional career by teaching mathematics. In 1746, he joined the cartographic firm Homannianorum Heredum in Nuremberg. During his five-year tenure there, he refined mapmaking techniques and produced original geometrical work, establishing a reputation that led to his academic appointment in Göttingen.
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Mayer joined the University of Göttingen in 1751, accepting the chair of economy and mathematics. By 1755, he attained the position of observatory director, a role he held until his death in 1762. He became a member of the Göttingen Academy of Sciences and Humanities, producing extensive research in selenography and star catalogues, including a memoir on the proper motion of eighty stars.
Mathematical and Navigational Innovations
In 1752, he invented the reflecting circle, an instrument that facilitated more accurate celestial measurements. His 1750 research into lunar libration resulted in a full moon chart that remained a standard for five decades. Furthermore, he employed a method of averaging data sets that functioned as an early form of linear regression, and he developed a formula for atmospheric refraction that accounted for temperature fluctuations.
Posthumous Publication and Influence
Following his death at age 39, G. C. Lichtenberg compiled and published a volume of his manuscripts titled Opera inedita in 1775. This collection featured Mayer’s essay on colour theory, which identified three primary colours, and his theories on terrestrial magnetism. His work on lunar motion, later published in London as Theoria lunae juxta systema Newtonianum in 1767, secured his lasting impact on physical astronomy.
Fast facts
- Born: 1723, Marbach am Neckar
- Died: 1762, Göttingen
- Citizenship: Duchy of Württemberg
- Notable invention: Reflecting circle
- University of Göttingen tenure: 1751–1762
- Primary fields: Astronomy, mathematics, cartography
Questions readers ask
What was Tobias Mayer’s contribution to navigation?
He produced lunar tables that allowed sailors to calculate their longitude at sea with an accuracy of half a degree.
Did he work exclusively in astronomy?
No, he was also a mathematician and cartographer who worked at the Homannianorum Heredum map firm and contributed to terrestrial magnetism and colour theory.
Achievements
- Notable work: reflecting circle
- Held posts at Homannianorum Heredum and University of Göttingen
- Fields of research: astronomy, cartography, mathematics and selenography
