Academician A. N. Krylov’s works in astronomy, mechanics, applied mathematics and history of science

Authors

  • Konstantin V. Kholshevnikov St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation; Institute of Applied Astronomy RAS, nab. Kutuzova, 10, St. Petersburg, 191187, Russian Federation;
  • Elena N. Polyakhova St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation; Institute of Applied Astronomy RAS, nab. Kutuzova, 10, St. Petersburg, 191187, Russian Federation;
  • Vladimir S. Korolev St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation; Institute of Applied Astronomy RAS, nab. Kutuzova, 10, St. Petersburg, 191187, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.217

Abstract

The scientific legacy of Alexei Nikolaevich Krylov (1863–1945) in applied mathematics, astronomy, celestial mechanics and navigation is discussed on the occasion of his recent 150th jubilee in 2013. Alexei Krylov belonged to the outstanding scientific St. Petersburg School in Mathematics, Mechanics and Astronomy, the latter especially with regard to classical celestial mechanics and practical navigation. Celestial mechanics in Russia was developed in the 19th century not by professional astronomers, but mainly by theoretical works of scholars in mathematics and mechanics. Alexei Krylov published many scientific works in applied mathematics, classical and applied mechanics, hydrodynamics, elasticity theory, ballistics, ship dynamics, navigation and orbital celestial mechanics. His interest in the history of science was focused on the scientific legacy of such outstanding thinkers as Galilei, Newton, Euler, Lagrange, Ostrogradsky, Tchebyshev, Lyapunov and others. He translated Isaac Newton’s “Principia” and Leonard Euler’s “Theory of the Moon” from Latin into Russian. His multiple comments found in these publications has contributed greatly to our modern understanding of these theories. Krylov’s outstanding scientific legacy in ship theory is widely known. However, in this publication we evaluate his works in applied mathematics, celestial mechanics and navigation. His interest in these sciences emerged in the 1880s during his course of study at the Naval School, the Naval Academy in St. Petersburg, and later during his pedagogical work as Professor of the Naval Academy, where he lectured for many years. Krylov’s textbooks based on his lectures in applied mathematics were widely used by educators in the 20th century. Many of Krylov’s fruitful ideas were developed later by his students and colleagues in St. Petersburg. Refs 26.

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References

Литература

1. Алешков Ю.З. Замечательные работы по прикладной математике. СПб.: Изд-во С.-Петерб. ун-та, 2004. 309 с.

2. Библиография основных трудов А. Н. Крылова // Крылов А. Н. Избранные сочинения / под ред. акад. Ю. Ш. Шиманского. Л.: Изд-во АН СССР, 1958. С. 792-802.

3. Лопатухина И.Е., Поляхов Н.Н., Поляхова Е.Н., Сабанеев В.С. Основные научные достижения академика А. Н. Крылова по математике, механике и истории науки // Сборник материалов междунар. конференции «Восьмые Окуневские Чтения», 25-28 июня 2013 г. СПб.: Изд-во БГТУ «Военмех», 2013. С. 422-424.

4. Люди русской науки // Очерки о выдающихся деятелях естествознания и техники. (Математика. Механика. Астрономия. Физика. Химия). Сборник ст. / под ред. И. В. Кузнецова. М.: Физматлит, 1961. 600 с.

5. Штрайх С.Я. Краткий очерк жизни и деятельности академика А. Н. Крылова // А. Н. Крылов. Воспоминания и очерки. М.: Воениздат, 1949. С. 5-72.

6. Ньютон И. Математические начала натуральной философии. Перевод с латинского с примечаниями и пояснениями А. Н. Крылова // Известия Николаевской морской академии. Петроград. Книга 1. 1915, Книга 2. 1916.

7. Чаплыгин С.А. Научная деятельность Алексея Николаевича Крылова // А. Н. Крылов. Мои воспоминания. Л.: Изд-во Судостроение, 1984. С. 451-458.

8. Основные даты жизни и научно-технической деятельности академика А. Н. Крылова // А. Н. Крылов. Мои воспоминания / под ред. А. П. Капицы. Л.: Изд-во Судостроение, 1984. С. 466-474.

9. Гаусс К.Ф. Теоретическая Астрономия / пер. с нем. А. Н. Крылова. Петроград, Типогр. Адмиралтейства, 1919. 187 с.

10. Идельсон Н.И. Работы А.Н. Крылова по астрономии // Труды Ин-та истории естествознания и техники АН СССР. М.; Л.: Изд-во АН СССР, 1956. Вып. 15. С. 24-31.

11. Крылов А.Н. Беседы о способах определения орбит комет и планет по малому числу наблюдений. Вып. 1. СПб.: Известия Николаевской морской академии, 1911.

12. Krylov A.N. On Sir Isaac Newton's Method of Determining the Parabolic Orbit of a Comet // Monthly Not. Roy. Astron. Soc. 1925. Vol. 85, N 7. P. 640-656.

13. Крылов А.Н. Ньютонова теория астрономической рефракции // Архив истории науки и техники. Серия 1. М.; Л.: Изд-во АН СССР, 1935. Вып. 5. С. 183-250.

14. Поляхова Е.Н., Холшевников К.В. Некоторые задачи прикладной математики - небесная механика, геодезия, картография - в работах академика М. В. Остроградского и его научной школы (к юбилею ученого) // Вестн. С.-Петерб. ун-та. Сер. 10. 2007. Вып. 1. С. 112-136.

15. Холшевников К.В. Небесная механика // История астрономии в России и СССР / под ред. акад. В. В. Соболева. М.: Изд-во Янус-К, 1999. Гл. 3. С. 78-132.

16. Тюлина И.А., Чиненова В.Н. История механики сквозь призму развития идей, принципов и гипотез. М.: URSS (Либроком), 2012. 252 с.

17. Тюлина И.А., Чиненова В.Н. Об основах преподавания механики (к 150-летию со дня рождения академика А. Н. Крылова) // Труды XI Международных Колмогоровских чтений. Ярославль, 2013. С. 324-330.

18. Крылов А.Н. Леонард Эйлер. Л.: Изд-во АН СССР, 1933. 39 с.

19. Крылов А.Н. Судьба одной знаменитой теоремы Эйлера-Ламберта // Архив Института истории науки и техники. Серия 1. М.; Л.: Изд-во АН СССР, 1936. Вып. 8. С. 281-299.

20. Поляхова Е.Н., Королев В.С., Холшевников К.В. Переводы трудов классиков науки академиком А. Н. Крыловым // Естественные и математические науки в современном мире. № 2(26). Новосибирск: Изд. «СибАК», 2015. С. 108-128.

21. Эйлер Л. Новая теория движения Луны. Перевод с латинского с примечаниями и пояснениями академика А. Н. Крылова. Л.: Изд-во АН СССР, 1934. 208 с.

22. Поляхова Е.Н. Классическая небесная механика в работах Петербургской школы математики и механики в XIX веке. СПб.: Изд-во «Нестор-История», 2012. 140 с.

23. Krylov A.N. Sur la variation des 'el'ements des orbits elliptiques des plan'etes = Об изменении элементов эллиптических планетных орбит // Известия Императорской С.-Петербургской академии наук. 6-я серия. 1915. Т. IX. Т. 10. С. 999-1016.

24. Krylov A.N. On a Theorem of Sir Isaac Newton // Monthly Not. Roy. Astron. Soc. 1924. Vol. 84, N 5. P. 392-395.

25. Krylov A.N. On Sir Isaac Newton's Formula for the Attraction of a Spheroid on a Point of its Axis // Monthly Not. Roy. Astron. Soc. 1925. Vol. 85, N 6. P. 571-575.

26. Гаусс К.Ф. Избранные труды по земному магнетизму / пер. с нем. акад. А. Н. Крылова. М.: Изд-во АН СССР, 1952. 279 с. (Серия «Классики Науки»).

References

1. Aleshkov Yu. Z., Remarkable works on applied mathematics (St. Petersb. Univ. Press, St. Petersburg, 2004, 309 p.) [in Russian].

2. “Bibliography of the main works of A.N.Krylov”, Krylov A.N. Chosen compositions. Under the editorship of Yu. Sh. Shimansky (Academy of Sciences of the USSR, Leningrad, 1958, 792–802) [in Russian].

3. Lopatukhina I. E., Polyakhov N.N., Polyakhova E. N., Sabaneev V. S., “The main scientific achievements of the academician A.N. Krylov on mathematics, mechanics and history of science”, Collection of materials conferences “Eighth Okunevsky Readings” (Publ. house of BGTU “Military Mechanical Institute”, St. Petersburg, 2013, 422–424) [in Russian].

4. People of the Russian science. Sketches about outstanding figures of natural sciences and technicians. (Mathematics. Mechanics. Astronomy. Physics. Chemistry). (Fizmatlit, Moscow, 1961, 600 p.) [in Russian].

5. Shtraykh S.Ya., “Short sketch of life and activity of the academician A.N.Krylov”, A. N. Krylov. Memoirs and sketches (Voyenizdat, Moscow, 1949, 5–72) [in Russian].

6. Newton I., “Mathematical beginnings of natural philosophy. The translation from Latin with notes and explanations of A.N.Krylov”, News of the Nikolaev sea academy (Petrograd, Book 1, 1915, Book 2, 1916) [in Russian].

7. Chaplygin S.A., Scientific activity of Alexey Nikolaevich Krylov, A. N. Krylov. My memoirs (Publ. house Shipbuilding, Leningrad, 1984, 451–458) [in Russian].

8. “Main dates of life and scientific and technical activity of the academician A.N.Krylov”, A. N. Krylov. My memoirs. Under the editorship of A.P. Kapitsa (Publ. house Shipbuilding, Leningrad, 1984, 466–474) [in Russian].

9. Gauss K.F., Theoretical Astronomy. The translation from the German by A.N.Krylov (Tipogr. Admiralties, Petrograd, 1919, 187 p.) [in Russian].

10. Idelson N. I., “A. N. Krylov’s works on astronomy”,Works of Institute of history of natural sciences and equipment of Academy of Sciences of the USSR Issue 15 (Publ. house of Academy of Sciences of the USSR, Moscow, Leningrad, 1956, 24–31) [in Russian].

11. Krylov A.N., Discussions about ways of definition of orbits of comets and planets on to small number of supervision Issue 1 (News of the Nikolaev sea academy, St. Petersburg, 1911) [in Russian].

12. Krylov A.N., “On Sir Isaac Newton’s Method of Determining the Parabolic Orbit of a Comet”, Monthly Not. Roy. Astron. Soc. 85(7), 640–656 (1925).

13. Krylov A.N., “Newton’s theory of an astronomical refraction”, Archive of history of sciences and technicians. Ser. 1. Issue 5 (Publ. house of Academy of Sciences of the USSR, Moscow, Leningrad, 1935, 183–250) [in Russian].

14. Polyakhova E.N., Kholshevnikov K.V., “Some tasks of the applied mathematics — celestial mechanics, geodesy, cartography — in works of the academician M.V.Ostrogradsky and his school of sciences”, Vestnik of St.Petersb. University. Ser. 10, Issue 1, 112–136 (2007). [in Russian].

15. Kholshevnikov K. V., “Celestial mechanics”, Astronomy history in Russia and the USSR. Under the editorship of V.V. Sobolev (Publ. Voyenizdat, Moscow, 1999, 78–132) [in Russian].

16. Tyulina I.A., Chinenova V.N., History of mechanics through a prism of development of ideas, principles and hypotheses (URSS (Libroky), Moscow, 2012, 252 p.) [in Russian].

17. Tyulina I.A., Chinenova V.N., “About bases of teaching mechanics (to the 150 anniversary since the birth of the academician A.N.Krylov)”, Works XI of the International Kolmogorov readings (Yaroslavl, 2013, 324–330) [in Russian].

18. Krylov A.N., Leonard Euler (Publ. of Academy of Sciences of the USSR, Leningrad, 1933. 39 p.) [in Russian].

19. Krylov A.N., “Destiny of one well-known theorem of Euler—Lambert”, Archive of Institute of history of science and equipment. Ser. 1, Issue 8, 281–299 (Publ. of Academy of Sciences of the USSR, Moscow, Leningrad, 1936) [in Russian].

20. Polyakhova E.N., Korolev V. S., Kholshevnikov K.V., “Translations of works of classics of science by the academician A.N.Krylov”. Natural and mathematical sciences in the modern world N2(26) (Novosibirsk, “SIBAK”, 2015, 108–128) [in Russian].

21. Euler L., New theory of the movement of the Moon. Translation from Latin with notes and explanations of the academician A.N.Krylov. (Publ. of Academy of Sciences of the USSR, Leningrad, 1934, 208 p.) [in Russian].

22. Polyakhova E.N., Classical celestial mechanics in works the Petersburg school of mathematics and mechanics in the 19th century (Publ. house “Nestor— History”, St. Petersburg, 2012, 140 p.) [in Russian].

23. Krylov A.N., “About change of elements of elliptic planetary orbits”, News Imperial St. Petersburg academy of Sciences 9, 10 (1915) [in French].

24. Krylov A.N., “On a Theorem of Sir Isaac Newton”, Monthly Not. Roy. Astron. Soc. 84(5), 392–395 (1924).

25. Krylov A.N., “On Sir Isaac Newton’s Formula for the Attraction of a Spheroid on a Point of its Axis”, Monthly Not. Roy. Astron. Soc. 85(6), 571–575 (1925).

26. Gauss K. F., The chosen works on terrestrial magnetism. Translation from German academician A. N. Krylov. Series “Classics of Science” (Academy of Sciences of the USSR, Moscow, 1952, 279 p.) [in Russian].

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Published

2020-10-19

How to Cite

Kholshevnikov, K. V., Polyakhova, E. N., & Korolev, V. S. (2020). Academician A. N. Krylov’s works in astronomy, mechanics, applied mathematics and history of science. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.217

Issue

Vol. 3 No. 2 (2016)

Section

Astronomy

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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

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