The solution of then-body problem

1. K.G. Andersson, Poincaré’s discovery of homoclinic points,Archive for History of Exact Sciences 48 (1994), 133–147.

   Article  MATH  MathSciNet  Google Scholar 

2. J. Barrow-Green, Oscar II’s prize competition and the error in Poincaré’s memoir on the three body problem,Archive for History of Exact Sciences 48 (1994), 107–131.

   Article  MathSciNet  Google Scholar 

3. J. Bernoulli,Opera Omnia, vol. I, Georg Olms Verlagsbuchandlung, Hildesheim, 1968.

   MATH  Google Scholar 

4. G. Bisconcini, Sur le problème des trois corps,Acta Mathematica 30 (1906), 49–92.

   Article  MathSciNet  Google Scholar 

5. E.H. Bruns, Über die Integrale des Vielkörper-Problems,Acta Mathematica 11 (1887), 25–96.

   Article  MathSciNet  Google Scholar 

6. C. Calude, H. Jürgensen and M. Zimand, Is independence an exception?Applied Math. Comput. 66 (1994), 63–76.

   Article  MATH  Google Scholar 

7. F.N. Diacu,Singularities of the N-Body Problem, Les Publications CRM, Montréal, 1992.

   MATH  Google Scholar 

8. F.N. Diacu, Painlevé’s conjecture,The Mathematical Intelligencer 15 (1993), no. 2, 6–12.

   Article  MATH  MathSciNet  Google Scholar 

9. F.N. Diacu and P. Holmes,Celestial Encounters—The Origins of Chaos and Stability. Princeton University Press (to appear in August 1996).

10. Dieudonné, J.,A History of Algebraic and Differential Topology 1900-1960, Birkhäuser, Boston, Basel, 1989.

    Google Scholar 

11. R.L. Goodstein,Essays in the Philosophy of Mathematics, Leicester University Press, 1965.

12. K. Godei, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Système,Monatshefte für Mathematik und Physik 38 (1931), 173–198.

    Google Scholar 

13. H. Poincaré,New Methods of Celestial Mechanics (with an introduction by D.L. Goroff), American Institute of Physics, 1993.

14. D.G. Saari, A visit to the Newtonian N-body problem via elementary complex variables,The American Mathematical Monthly 97 (1990), 105–119.

    Article  MATH  MathSciNet  Google Scholar 

15. C.L. Siegel, Der Dreierstoß,Annals of Mathematics 42 (1941), 127–168.

    Article  MathSciNet  Google Scholar 

16. K. Sundman, Recherches sur le problème des trois corps,Acta Societatis Scientiarum Fennicae 34 (1907), no. 6.

    Google Scholar 

17. K. Sundman, Nouvelles recherches sur le problème des trois corps,Acta Societatis Scientiarum Fennicae 35 (1909), no. 9.

    Google Scholar 

18. K. Sundman, Mémoire sur le problème des trois corps,Acta Mathematica 36 (1912), 105–179.

    Article  MATH  MathSciNet  Google Scholar 

19. J.B. Urenko, Improbability of collisions in Newtonian gravitational systems of specified angular momentum.SIAM f. Appl. Math. 36 (1979), 123–147.

    Article  MATH  MathSciNet  Google Scholar 

20. Q. Wang, The global solution of the n-body problem,Celestial Mechanics 50 (1991), 73–88.

    Article  MATH  Google Scholar 

21. A. Wintner,The Analytical Foundations of Celestial Mechanics, Princeton University Press, Princeton, NJ, 1941.

    Google Scholar 

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