Characteristic exponents atL
4 andL
5 in the elliptic restricted problem of three bodies |
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Authors: | G E O Giacaglia |
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Institution: | (1) The University of Texas at Austin, Tex., USA;(2) Present address: University of Sao Paulo, Brasil |
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Abstract: | We study the linear stability of the triangular points in the elliptic restricted problem by determining the characteristic exponents with a convergent method of iteration which in essence was introduced by Cesari (1940). We obtain the general term of such exponents as a power series in the eccentricity of the primaries, valid for sufficiently small and at all values of except one in the interval of stability of the circular problem. |
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Keywords: | |
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