Characteristic exponents atL 4 andL 5 in the elliptic restricted problem of three bodies

Details Characteristic exponents atL 4 andL 5 in the elliptic restricted problem of three bodies Characteristic exponents atL 4 andL 5 in the elliptic restricted problem of three bodies

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...4..468g&link_type=abstract

Celestial Mechanics, Volume 4, Issue 3-4, pp. 468-489

Physics

2

Scientific paper

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 ɛ of the primaries, valid for sufficiently small ɛ and at all values of μ except one in the interval of stability of the circular problem.

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