Motion of two planets with periods commensurable in the ratio 2∶1 solutions of the hori auxiliary system |
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| Authors: | W. Sessin S. Ferraz-Mello |
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| Affiliation: | (1) Departmento de Astronomia, Instituto Tecnológico de Aeronátuca, 12200 São José dos Campos, SP, Brazil;(2) Departmento de Astronomia, Universidade de São Paulo, 04301 São Paulo, SP, Brazil |
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| 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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