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Chebyshevskii Sbornik, 2023, Volume 24, Issue 1, Pages 304–312
DOI: https://doi.org/10.22405/2226-8383-2023-24-1-304-312
(Mi cheb1301)
 

HISTORY OF MATHEMATICS AND APPLICATIONS

Analytical substantiation of the gyroscopic effect in the works of O. I. Somov

A. O. Yulina

Saint Petersburg State University of Architecture and Civil Engineering (St. Petersburg)
References:
Abstract: Since the beginning of the XIX century in European countries (Germany, France, Belgium, Austria) astronomers, engineers, mechanics invented, created and improved gyroscopes. The practical demand for gyroscope devices has been significant, but there has not yet been a specific theory of the gyroscope. The foundation of the theory was laid by Euler, developed by Lagrange, and continued by Poisson. On the other hand, in the 19th century in the works of Jacobi, Abel, Weierstrass, the theory of elliptic functions was created and began to develop. Based on this theory, K. Jacobi and O.I. Somov created a special theory of the gyroscope.
Keywords: Gyroscope, elliptic function, Euler, Lagrange, Jacobi, Somov.
Received: 07.08.2022
Accepted: 24.04.2023
Document Type: Article
UDC: 531.091
Language: Russian
Citation: A. O. Yulina, “Analytical substantiation of the gyroscopic effect in the works of O. I. Somov”, Chebyshevskii Sb., 24:1 (2023), 304–312
Citation in format AMSBIB
\Bibitem{Yul23}
\by A.~O.~Yulina
\paper Analytical substantiation of the gyroscopic effect in the works of ~O.~I.~Somov
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 1
\pages 304--312
\mathnet{http://mi.mathnet.ru/cheb1301}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-1-304-312}
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