sofs.org.ua › About us › Archive › 2017 › 1(95) 2017 › 1.12

1.12

THE CONTRIBUTION OF THE INSTITUTE OF MATHEMATICS OF THE NAS OF UKRAINE IN THE SPACE SCIENCE

1 I.A. LUKOVSKY,
1 N.A. PUSTOVOITOV
1 Institute of Mathematics, National Academy of Sciences of Ukraine

Nauka naukozn. 2017, 1(95):  137-149
https://doi.org/10.15407/sofs2017.01.137

Section: Science and Technology History
Language: Ukrainian
Abstract: Pioneering efforts to build a modern picture of the universe, in which apart from the attraction forces electromagnetic forces occur, was made at the Institute of Mathematics of the Ukrainian Academy of Sciences: in the 1920s, Academician D.O. Grave with students conducted a study of the impact of electric and magnetic forces on the motion of the planets in the solar system. The constructed mathematical model allowed for explaining the deviation between results produced by Newton’s law and the experimental data. The concept of the area in near-Earth space where the solar wind interacts with the geomagnetic field was introduced. In the early 60s of the last century, with help of satellites, this area was discovered and given the name «magnetosphere». The article contains a story about the results of these little-known studies.

Keywords: space physics, Newton’s law of gravity, the three-body problem, perihelion of Mercury, solar wind, a mathematical model of the solar system, cosmic electrodynamics, magneto hydrodynamics, research by spacecraft.

References

  1. Grave, D.A. (1896). Sur 1е рrоblemе dе trоis соrрs. Nouv. Аnnаlеs dе Mаthem., 15, 537—547.
  2. Grave, D.A. (1924). Main laws of motion. Proceedings of Ekaterinslav Mining Institute. Ekaterinoslav, XIV [in Russian].
  3. Grave, D.A. (1925). Übеr dеr Zusаmmеnhаng zwischen Аstrоnоmiе, Меtеоrоlogie und Воtаnik. Proceedings of Phys. and Math. Department of the All-Ukrainian Academy of Sciences, I, issue 3, pp. 53—55.
  4. Grave, D.A. (1925). Übеr ein Роincаrеsсhеs Рrоblеm. Proceedings of Phys. and Math. Department of the All-Ukrainian Academy of Sciences. I, issue 3, pp. 57—59.
  5. Grave, D.A. (1925). Übеr diе е1еktrоmagnеtisсhen Grundаgеn dеr Месhаnik. Proceedings of Phys. and Math. Department of the All-Ukrainian Academy of Sciences, I, issue 3, pp. 84–90.
  6. Grave, D.О. (1925). Electromagnetic forces in the Solar system. Collection of Mathematical-Natural Science-Medical Section of Shevchenko Scientific Society, XXIII—XXIV, pp. 43–46 [inUkrainian].
  7. Grave, D.A., Sokolov, U.D. (1926). Sur lе mоuvеment du рerihelie de Меrсurе. Works of Phys. & Math. Department of the All-Ukrainian Academy of Sciences, V, issue 1, pp. 1–11.
  1. Grave, D.A. (1926). The relativity theory in historic perspective. Collection of History & Philology Department of All-Ukrainian Academy of Sciences, issue 51, part 1, pp. 220—237 [in Ukrainian].
  2. Grave, D.A. (1927). Ubеr diе еlectromagnetisch Erschеinungen im Sоnnеnsуsteme. Works of Phys. & Math. Department of the All-Ukrainian Academy of Sciences, II, issue 2, pp. 9—12.
  3. Grave, D.A. (1928). About magnetic anomalies. Reports of the Academy of Sciences of the USSR, issue 16—17, pp. 316–318 [in Russian].
  4. Граве Д.А. Оценка влияния электрической гиператмосферы на земной магнетизм. Доклады АН СССР. № 22. C. 319–325.
  5. Grave, D.A. (1928). The principles of mechanics. Bulletin of the Communist Academy, XXVII, 273–291 [in Russian].
  6. Grave, D.A. (1928). The electric hyperatmospehre and the earth magnetism. Izvestiya [Proceedigns] of the Academy of Sciences of the USSR, issue 4—5, pp. 347—366 [in Russian].
  7. Grave D.A. (1929). Lеs nоuvеаux рrincipes dе 1а meсаnique сelеstе. Works of Phys. & Math. Department of the All-Ukrainian Academy of Sciences, IX, issue 4, pp. 325—335.
  8. Grave, D.A. (1930). Technology-based theoretical mechanics. Kharkiv, Kyiv: Derzhavne vydavnytstvo [the State publishing house] of Ukraine, 394 [in Ukrainian].
  9. Grave, D.A. (1931). Mathematics and its applications. Journal of Mathematical Cycle of the All-Ukrainian Academy of Sciences, 1, 3–14 [in Ukrainian].
  10. Grave, D.A. (1923). How the Universe is built. A popular essay. Gos. izd-vo [the State publishing house] of Ukraine, 59 [in Russian].
  11. Grave, D.A. The interplanetary space: a source of electric energy. Communist, 19.05.1921 [in Russian].
  12. Sokolov, Yu.D. (1934). An introduction to the Dűfering method for numerical integration of differential equations. Bulletin of the Institute of Leather Industry, 1, 19—26 [in Ukrainian].
  13. Sokolov, Yu.D. (1934). About the general co-strike in the symmetric case of the problem of three bodies. Journal of the Mathematics Institute of the All-Ukrainian Academy of Sciences, 1, 27—34 [in Ukrainian].
  14. Sokolov, Yu.D. (1934). About the co-strike in the approximated problem of three bodies with mutual gravitation (or repulsion) proportional to their masses and some function of the respective distance. Journal of the Mathematics Institute of the All-Ukrainian Academy of Sciences, 3/4, 133—156 [in Ukrainian].
  15. Sokolov, Yu.D. (1935). About some peculiarities of the problem of three bodies. Journal of the Mathematics Institute of the All-Ukrainian Academy of Sciences, 1, 107—118 [in Ukrainian].
  16. Sokolov, Yu.D. (1934). About peculiar trajectories in the problem of three bodies with mutual gravitation (or repulsion) proportional to their masses and some function of the respective distance. Journal of the Mathematics Institute of the All-Ukrainian Academy of Sciences, 3/4, 114—125 [in Ukrainian].
  17. Sokolov, Yu.D. (1951). The peculiar trajectories of the system of free material points. Kiev: Publishing house of the Mathematics Institute of the Academy of Sciences of the UkrSSR, 126 [in Russian].
  18. Diachenko, V.Ye. (1934). Obchyslennia popravok rukhu vuzliv planety Venery za teoriieiu reliatyvnosti. Journal of the Mathematics Institute of the All-Ukrainian Academy of Sciences, 2, 93—94 [in Ukrainian].
  19. Dyachenko, V.Ye. (1936). A new method of relativist corrections in the problems of planet mechanics. Works of the All-Union Mathematical Congress, pp. 365—378 [in Russian].
  20. Urbanskiy, V.М. (1998). Dmitriy Grave and time. Кiev: Naukova dumka, 272 [in Russian].
  21. Boyd, R.L.F., Syton, M.J. (eds.) (1957). Rocket research of the upper atmosphere. Trans. from English. Moscow: Izdatelstvo inostrannoy literatury, 416 [in Russian].
  22. Research of the upper atmosphere by use of rockets and satellites. Moscow: Izdatelstvo inostrannoy literatury, 1961, 472 p. [in Russian].
  23. Abbot, Ch. (1936). The Sun. Trans. from English. Moscow-Leningrad: ОNТI, 463 [in Russian].
  24. Liller, U. (ed.) (1963). Space astrophysics. Moscow: Izdatelstvo inostrannoy literatury, 333 [in Russian].
  25. Alfven, H., Felthammer, K.-H. (1967). Cosmic electrodynamics. Мoscow: Мir, 260 [in Russian].
  26. History of the National Academy of Sciences of Ukraine (1924—1928): Documents and records. Кyiv, 1998, 762 p. [in Ukrainian].
  27. History of the National Academy of Sciences of Ukraine (1929—1933): Documents and records. Кyiv, 1998, 542 p. [in Ukrainian].
  28. History of the National Academy of Sciences of Ukraine (1934—1937): Documents and records. Кyiv, 2003, 832 p. [in Ukrainian].
  29. History of the National Academy of Sciences of Ukraine (1938—1941): Documents and records. Кyiv, 2003, 920 p. [in Ukrainian].

Text (PDF)