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A global existence theorem for the four body problem
Author(s):
Donald G.
Saari
Journal:
Bull. Amer. Math. Soc.
82
(1976),
743-744.
MSC (1970):
Primary 70F10, 70F35;
Secondary 34F05, 58F05
MathSciNet review:
0405505
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Additional information
References:
- 1.
- J. E. Littlewood, Some problems in real and complex analysis, Heath, Lexington, Mass., 1968. MR 39 #5777. MR 244463
- 2.
- J. E. Littlewood, A mathematician's miscellany, Methuen, London, 1953.
- 3.
- J. Mather and R. McGehee, Solutions of the collinear four body problem which become unbounded in finite time, Dynamical Systems, Battelle Rencontres (Seattle, 1974), Springer-Verlag, Berlin, 1975. MR 495348
- 4.
- H. Painlevé, Leçons sur la théorie analytique des équations différentielles, Hermann, Paris, 1897.
- 5.
- D. G. Saari, Improbability of collisions in Newtonian gravitational systems, Trans. Amer. Math. Soc. 162 (1971), 267-271; erratum, ibid. 168 (1972), 521. MR 45 #4714. MR 295648
- 6.
- D. G. Saari, Improbability of collisions in Newtonian gravitational systems. II, Trans. Amer. Math. Soc. 181 (1973), 351-368. MR 47 #9919. MR 321386
- 7.
- D. G. Saari, Collisions are of first category, Proc. Amer. Math. Soc. 47 (1975), 442 —445. MR 51 #2395.
- 8.
- D. G. Saari, Singularities and collisions of Newtonian gravitational systems, Arch. Rational Mech. Anal. 49 (1972/73), 311-320. MR 49 #4354. MR 339596
- 9.
- D. G. Saari, Singularities of Newtonian gravitational systems, Dynamical Systems (Proc. Sympos., Univ. of Bahia, Salvador, 1971), M. Peixoto, Editor), Academic Press, New York, 1973, pp. 479-487. MR 49 #10210. MR 345474
- 10.
- H. J. Sperling, On the real singularities of the N-body problem, J. Reine Angew Math. 245 (1970), 15-50. MR 44 #7810. MR 290630
- 11.
- H. von Zeipel, Sur les singularités du problème des n corps, Ark. Mat. Astr. Fys. 4 (1908), no. 32.
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14143-2
PII:
S 0002-9904(1976)14143-2
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