Karl F. Sundman

Karl F. Sundman.

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

Sundman was awarded the Pontécoulant prize by the French Academy of Science in 1913 for his work on the 3-body problem.^[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

• Qiudong Wang generalized Sundman's solution to the case of more than three bodies In the 1990s.^[7][8][9]

References

1. Karl Frithiof Sundman bio
2. Sundman, Karl F. "Recherches sur le problème des trois corps". Acta Societatis Scientiarum Fennicæ. XXXIV (1907) N:o 6.
3. Sundman, Karl F. "Nouvelles recherches sur le problème des trois corps". Acta Societatis Scientiarum Fennicæ. XXXV (1909) N:o 9.
4. Sundman, K. (1912). "Mémoire sur le problème des trois corps". Acta Mathematica. 36: 105–179. doi:10.1007/BF02422379.
5. Elfving, Fredr. (1938). Finska Vetenskapssocietetens historia 1838-1938. Commentationes Humanarum Litterarum (in Swedish). Helsingfors: Societas Scientiarum Fennica.
6. "Lista över ledamöter av Kungliga Vetenskapsakademien". Retrieved 2022-01-04.
7. 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.
8. 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.
9. 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

• 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.