FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 1045-1058

The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet

V.N.Shinkin

In the present paper the general spatial and restricted elliptic spatial three-body problem at third-order resonance j:(j+3) are analytically integrated by quadratures with the help of the Weierstrass functions, using an expansion of the disturbing function up to and including the third-degree terms in the eccentricities and in the inclinations.

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Location: http://mech.math.msu.su/~fpm/eng/95/954/95414.htm
Last modified: October 3, 1997.