Critical inclinations in planetary problems |
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| Authors: | G A Krasinsky |
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| Institution: | (1) Institute for Theoretical Astronomy, Leningrad, U.S.S.R. |
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| Abstract: | The general conception of the critical inclinations and eccentricities for theN-planet problem is introduced. The connection of this conception with the existence and stability of particular solutions is established. In the restricted circular problem of three bodies the existence of the critical inclinations is proved for any values of the ratio of semiaxes  . The asymptotic behaviour of the critical inclinations as  1 is investigated.
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