Geodesic
An alternative proof of Painlevé's theorem
Applications of Mathematics, Tome 45 (2000) no. 4, pp. 291-299.

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In this article we show some aspects of analytical and numerical solution of the $n$-body problem, which arises from the classical Newtonian model for gravitation attraction. We prove the non-existence of stationary solutions and give an alternative proof for Painlevé’s theorem.
DOI : 10.1023/A:1022371412511
Classification : 70F10, 70F16
Keywords: $n$-body problem; ordinary differential equations; Painlevé’s theorem 
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     title = {An alternative proof of {Painlev\'e's} theorem},
     journal = {Applications of Mathematics},
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     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022371412511/}
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Němec, Jan. An alternative proof of Painlevé's theorem. Applications of Mathematics, Tome 45 (2000) no. 4, pp. 291-299. doi : 10.1023/A:1022371412511. http://geodesic.mathdoc.fr/articles/10.1023/A:1022371412511/

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