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Titlebook: Qualitative and Quantitative Behaviour of Planetary Systems; Proceedings of the T R. Dvorak,J. Henrard Conference proceedings 1993 Kluwer A

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Qualitative and Quantitative Behaviour of Planetary Systems978-94-011-2030-2
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An Excess Motion of the Ascending Node of Mercury in the Observations Used by Le Verrierbit over the theoretically predicted on. To this, we numbered these observations chronologically from 1 to 13 for the transits on November and from 14 to 21 for those on May. The results are as follows:
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The Original Sitnikov Article — New Insightsere exists a class of orbits in the three body problem which are unbounded, but nevertheless lead back to the origin of the coordinate system used, an infinite number of times (oscillatory motion). In my treatment only the restricted problem will be dealt with, although Sitnikov gives a generalization to a finite mass of the third body.
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An Application of KAM Theory to the Planetary Three Body Problemtained a result of stability in the planar problem of two planets, in the asymptotic case, when the ratio of the semi-major axes goes to zero. In Amold’s paper, a statement is made about the general case, but the computation does not appear in the paper.
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