The Integrable Cases of the Three-Body Problem at Second-Order Resonance Under the High Oblateness of the Central Body

Details The Integrable Cases of the Three-Body Problem at Second-Order Resonance Under the High Oblateness of the Central Body The Integrable Cases of the Three-Body Problem at Second-Order Resonance Under the High Oblateness of the Central Body

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..63..341s&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 63, Issue 3-4, pp. 341-355

Astronomy and Astrophysics

Astronomy

2

Satellite, Planet, Oblateness, Resonance

Scientific paper

For the general and restricted elliptic spatial three-body problems under the high oblateness of the central body and at both second-order orbital and secondary resonances, an analytical solution is obtained by the use of the Weierstrass functions and with an accuracy of the fourth-degree terms in the eccentricities and in the inclinations. The behavior of solutions is studied on the phase plane.

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