On the homogeneous form of the differential equations of relative motion of the three-body problem

It has previously been shown (Celestial Mechanics, Vol. 6 Nº 2, September 1972) that the system of differential equations of relative motion of the three-body problem can br brought into a homogeneous form. We give here an account of some additional proofs concerning the conditions of convergence of...

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Autor principal: Altavista, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 1982
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/111812
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Sumario:It has previously been shown (Celestial Mechanics, Vol. 6 Nº 2, September 1972) that the system of differential equations of relative motion of the three-body problem can br brought into a homogeneous form. We give here an account of some additional proofs concerning the conditions of convergence of the geometric process used to obtain the new equations as well as a theorem due to Kolmogorov to consider analytical aspects of the problem.