Abstract
While glancing through some volumes of the Monthly Notices of the Royal Astronomical Society of thirty years ago, the writer's attention was attracted by a statement1 regarding a discrepancy in the predicted return of Halley's Comet. The time of perihelion passage had been fixed with extreme care by P. H. Cowell and A. C. D. Crommelin,2 the simplicity and high precision of their method having won for them the Lindemann3 prize of 1000 marks offered for the best essay on the return of Halley's Comet. Starting with perihelion passage on November 16, 1835, as their zero date, they had traced the comet's motion, step by step, backward to perihelion in 1759 and forward to 1910, considering it to move under the combined attraction of the sun and all the planets except Mercury. Although the other elements could be determined from the observations
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