Search results for ""author leonhard euler""

Der Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der zweite von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der von weiteren Himmelskörpern auf ihn wirkenden Gravitationskräfte. Als Beispiel sei die gravitative Wirkung der Venus auf die Erdbahn erwähnt.Von grosser praktischer Bedeutung, insbesondere für die Navigation auf See, war die Untersuchung des Einflusses der Sonne auf die Mondbewegung. Mit diesem Thema beschäftigte Euler sich zeit seines Lebens.

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This volume, together with Volumes 22 and 23 of the same series, contains Euler's contributions to the theory of the movement of the sun and especially of the moon. Time and again Euler worked on the program of applying Newton's principles of mechanics to improve our unterstanding of the movement of the celestial bodies. Euler's monumental "Theoria motuum Lunae nova methodo pertractata" of 1772 (his "Second Theory of the Moon") forms Volume 22, whereas Volume 23 mainly contains his early Astronomical Tables and his "First Theory of the Moon" of 1753. In the present volume the reader will find early papers by Euler pertaining to the preparation of his Astronomical Tables, a series of articles written between his two Theories of the Moon, and finally three substantial essays closely related to his "Second Theory of the Moon". The texts are reprinted in the original language most commonly French or Latin.

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Der Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der letzte von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist das Dreikörperproblem, das heisst die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der Störung durch einen weiteren Himmelskörper.Dieses Problem behandelt Euler in einigen der vorliegenden Abhandlungen nicht nur für Massenpunkte, sondern erstmals auch für ausgedehnte Himmelskörper. Die so verallgemeinerte Himmelsmechanik, die er als „mechanische Astronomie“ bezeichnete, prägte er massgebend. Dazu gehört unter anderem auch das Rotationsverhalten von Himmelskörpern unter dem Einfluss äusserer Gravitationskräfte, das er mit seinen berühmten Bewegungsgleichungen der Starrkörperrotation erfolgreich zu beschreiben vermochte.

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This volume concludes the second series of Leonhard Euler's Opera Omnia. It contains Euler's contributions to cosmic physics. Most substantial is the Essay on the Tide, which shared the prize awarded by the Paris Academy of Science in 1740. Other topics are the constitution of the atmosphere, ocean currents and winds, comets, the resistance of the aether, the lunar atmosphere, and the shape of the earth. The papers collected in this volume span a period from 1727 to 1775. They show Euler's lasting interest in questions of cosmic physics.

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When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years.This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765.Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.

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When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years.This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765.Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.

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