THE INTEGRABLE CASES OF THE 3-BODY PROBLEM AT 2ND-ORDER RESONANCE UNDER THE HIGH OBLATENESS OF THE CENTRAL BODY

For the general and restricted elliptic spatial three-body problems un der the high oblateness of the central body and at both second-order o rbital and secondary resonances, an analytical solution is obtained by the use of the Weierstrass functions and with an accuracy of the four th-degree terms in the eccentricities and in the inclinations. The beh avior of solutions is studied on the phase plane.