...This result suggested that even if a new integral exists, it would be analytically extremely complicated, and changed the course of research into the three-body problem. In other words, research in this century has been directed at the very existence of a solution to the three-body problem, and through Poincaré, Painlevé, T. Levi-Civita (1873-1941), G. Bisconcini, and others, KF Sundman (1873-1949) proved (1912) that a unique solution exists for any initial value as long as the three celestial bodies do not collide simultaneously. In such arguments, it is essential that the celestial bodies are point masses (because the force of gravity becomes infinity when a point mass collide). ... *Some of the terminology that mentions "Bisconcini, G." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…この結果は,たとえ新積分が存在してもそれは解析的にきわめて複雑な形であることを示唆したので,三体問題研究の流れを変えることになった。すなわち,今世紀になってからの研究は三体問題の解の存在そのものに向けられ,ポアンカレ,パンルベ,レビ・チビタT.Levi‐Civita(1873‐1941),ビスコンチニG.Bisconciniらを経て,スンドマンK.F.Sundman(1873‐1949)は3天体の同時衝突が起こらぬ限り,任意の初期値のもとに解が一意に存在することを証明した(1912)。このような議論では天体が質点であることが本質的である(質点の衝突で万有引力は∞になるから)。… ※「Bisconcini,G.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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