Geodesic
The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1045-1058 
V. N. Shinkin. The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1045-1058. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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