Karl Frithiof Sundman (28 October 1873, in Kaskinen – 28 September 1949, in Helsinki) was a Finnish mathematician[1] who used analytic methods to prove the existence of a convergent infinite series solution to the three-body problem in two papers published in 1907[2] and 1909.[3] His results gained fame when they were reproduced in Acta Mathematica in 1912.[4] He also published a paper on regularization methods in mechanics in 1912.
Awards, recognition edit
Sundman was awarded the Pontécoulant prize by the French Academy of Science in 1913 for this work.[1] In 1908 Sundman was elected member of the Finnish Society of Sciences and Letters[5] and in 1947 foreign member of the Royal Swedish Academy of Sciences.[6] The crater Sundman on the Moon is named after him, as is the asteroid 1424 Sundmania.
See also edit
- Qiudong Wang generalized Sundman's solution to the case of more than three bodies In the 1990s.[7][8][9]
References edit
- ^ a b Karl Frithiof Sundman bio
- ^ Sundman, Karl F. "Recherches sur le problème des trois corps". Acta Societatis Scientiarum Fennicæ. XXXIV (1907) N:o 6.
- ^ Sundman, Karl F. "Nouvelles recherches sur le problème des trois corps". Acta Societatis Scientiarum Fennicæ. XXXV (1909) N:o 9.
- ^ Sundman, K. (1912). "Mémoire sur le problème des trois corps". Acta Mathematica. 36: 105–179. doi:10.1007/BF02422379.
- ^ Elfving, Fredr. (1938). Finska Vetenskapssocietetens historia 1838-1938. Commentationes Humanarum Litterarum (in Swedish). Helsingfors: Societas Scientiarum Fennica.
- ^ "Lista över ledamöter av Kungliga Vetenskapsakademien". Retrieved 2022-01-04.
- ^ Babadzanjanz, L. K. (1979), "Existence of the continuations in the N-body problem", Celestial Mechanics, 20 (1): 43–57, Bibcode:1979CeMec..20...43B, doi:10.1007/BF01236607, MR 0538663, S2CID 120358878.
- ^ Wang, Qiu Dong (1991), "The global solution of the n-body problem", Celestial Mechanics and Dynamical Astronomy, 50 (1): 73–88, Bibcode:1991CeMDA..50...73W, doi:10.1007/BF00048987, MR 1117788, S2CID 118132097.
- ^ Babadzanjanz, L. K. (1993), "On the global solution of the N-body problem", Celestial Mechanics and Dynamical Astronomy, 56 (3): 427–449, Bibcode:1993CeMDA..56..427B, doi:10.1007/BF00691812, MR 1225892, S2CID 120617936.
Sources edit
- Järnefelt, G.: "Karl Fridhiof Sundman." Soc. Sci. Fenn. Arsbok 30 (2) (1953), 1–13.
- Järnefelt, G.: "Karl F. Sundman in Memoriam." Acta Mathematica 83 (1950), i–vi.
- Barrow-Green, June (2010). "The dramatic episode of Sundman. Historia Mathematica, 37 (2): 164-203.
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