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.

Karl F. Sundman.

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.