Geodesic
Qualitative Analysis of Some Libration Points in the
Russian journal of nonlinear dynamics, Tome 17 (2021) no. 4, pp. 369-390

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We consider the situation where three heavy gravitational bodies form the Lagrange configuration rotating in a fixed plane and the fourth body of negligible mass moves in this plane. We present three cases of so-called libration points and we study their stability using linear approximation and KAM theory. In some situations we prove the Lyapunov stability for generic values of some parameter of the problem.
Keywords: libration point, stability.
Mots-clés : Lagrange configuration 
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     author = {A. Ligeza and H. Zoladek},
     title = {Qualitative {Analysis} of {Some} {Libration} {Points} in the},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2021_17_4_a1/}
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A. Ligeza; H. Zoladek. Qualitative Analysis of Some Libration Points in the. Russian journal of nonlinear dynamics, Tome 17 (2021) no. 4, pp. 369-390. http://geodesic.mathdoc.fr/item/ND_2021_17_4_a1/