Abstract
It is shown that the Hori auxiliary system for the motion of two planets, whose motions around the Sun have commensurable periods in the ratio 2 : 1, is completely integrable and, an intermediate orbit that includes the effects of the resonance is obtained. The difficulties of classifying some solutions as librations or circulations are discussed.
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Sessin, W., Ferraz-Mello, S. Motion of two planets with periods commensurable in the ratio 2∶1 solutions of the hori auxiliary system. Celestial Mechanics 32, 307–332 (1984). https://doi.org/10.1007/BF01229087
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DOI: https://doi.org/10.1007/BF01229087