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2020-11-15 09:10:34
EULER, Leonhard.
Theoria Motus Lunae Exhibens Omnes Eius Inaequalitates.
St. Petersburg: Academiae Imperialis Scientiarum, 1753. First edition. EULER'S FIRST LUNAR THEORY. First edition of one of Euler's rarest books, containing his first lunar theory. "The observed motions of the planets, particularly of Jupiter and Saturn, as well as the moon, were evidently different from the calculated motions based on Newton's theory of gravitation. Thus, the calculations of Clairaut and d'Alembert (1745) gave the value of eighteen years for the period of revolution of the lunar perigee, whereas observations showed this value to be nine years. This caused doubts about the validity of Newton's system as a whole. For a long time Euler joined these scientists in thinking that the law of gravitation needed some corrections. In 1749 Clairaut established that the difference between theory and observation was due to the fact that he and others solving the corresponding differential equation had restricted themselves to the first approximation. When he calculated the second approximation, it was satisfactorily in accordance with the observed data. Euler did not at once agree. To put his doubts at rest, he advised the St. Petersburg Academy to announce a competition on the subject. Euler soon determined that Clairaut was right, and on Euler's recommendation his composition received the prize of the Academy (1752). Euler was still not completely satisfied, however. In 1751 he had written his own Theoria motus lunae exhibens omnes ejus inaequalitates (published in 1753), in which he elaborated an original method of approximate solution to the three-body problem, the s … [Click Below for Full Description]
Bookseller: SOPHIA RARE BOOKS [Denmark]

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