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On the global solution of the N-body problem


In connection with the publication (Wang Qiu-Dong, 1991) the Poincaré type methods of obtaining the maximal solution of differential equations are discussed. In particular, it is shown that the Wang Qiu-Dong'sglobal solution of the N-body problem has been obtained in Babadzanjanz (1979). First the more general results on differential equations have been published in Babadzanjanz (1978).

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  1. Babadzanjanz, L.K.: 1978, ‘Existence of the Continuations and Representation of the Solutions in Celestial Mechanics’, TRUDY ITA AN SSSR, vyp. XVII, 3–45 (in Russian).

  2. Babadzanjanz, L.K.: 1979, ‘Existence of the Continuations in the N-body problem’,Celest. Mech. 20, 43–57.

  3. Grenander, U. and Szegö, G.: 1958,Toeplitz Forms and Their Applications, University of California Press.

  4. Stiefel, E.L. and Scheifele, G.: 1971, ‘Linear and Regular Celestial Mechanics’, Springer-Verlag.

  5. Sundman, K.F.: 1913, ‘Mémoire sur le problème des trois corps’,Acta Math. 36, 105–179.

  6. Poincaré, H.: 1882, ‘Sur l'intégration des équations différentielles par les séries’,C. R. Acad. Sci. 94, 577–578; Oeuvres, t.I, 162–163.

  7. Wang Qiu-Dong: 1991, ‘The Global Solution of the N-Body Problem’,Celest. Mech. & Dynam. Astr. 50, 73–88.

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Babadzanjanz, L.K. On the global solution of the N-body problem. Celestial Mech Dyn Astr 56, 427–449 (1993).

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Key words

  • N-body problem
  • Poincaré type method
  • analytic continuation