Document Zbl 0522.70015

Sur un théorème de stabilité pour un potentiel homogene. (French) Zbl 0522.70015

Celestial Mech. 28, 63-68 (1982).

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MSC:

70F15	Celestial mechanics
70F07	Three-body problems
70K20	Stability for nonlinear problems in mechanics

Keywords:

equilibrium solutions; homogeneous polynomials as potential; triple collisions

Citations:

Zbl 0297.70011

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Full Text: DOI

References:

[1]	Losco, L.: 1982, ?Sur une étude de stabilité par analogie avec la collision triple?,Céles. Mech. (à paraître).
[2]	Broucke, R.: 1978,Numerical Investigation of Non-integrable Dynamical Systems, Cours Besançon.
[3]	Siegel, C. and Moser, J.: 1971,Lectures on Celestial Mechanics, Springer-Verlag. · Zbl 0312.70017
[4]	Rouche, N. and Mawhin, J.: 1973,Equations differentielles ordinaires, Tome 2 (Stabilité et solutions périodiques), Masson et Cie.
[5]	McGehee, R.: 1974,Invent. Math. 27, 191?227. · Zbl 0297.70011 · doi:10.1007/BF01390175
[6]	Eschbach, D.: 1980 ?Étude de la collision triple,?Celes. Mech. 21, 321?331. · doi:10.1007/BF01230229
[7]	Al Ottmann, A.:Sur une étude de stabilité de potentiels homogènes. Thèse de Doctorat de 3ème cycle, Besançon (en cours).

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