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 ε of the primaries, valid for sufficiently small ε and at all values of μ except one in the interval of stability of the circular problem.
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Giacaglia, G.E.O. Characteristic exponents atL 4 andL 5 in the elliptic restricted problem of three bodies. Celestial Mechanics 4, 468–489 (1971). https://doi.org/10.1007/BF01231404
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DOI: https://doi.org/10.1007/BF01231404