Geodesic
Commensurability and Molchanov's hypothesis
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 1, pp. 139-154 Cet article a éte moissonné depuis la source Math-Net.Ru

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About half a century ago, A. M. Molchanov conjectured the existence of a resonance structure of the solar system, stating that as the solar system evolves, its planets inevitably drift to orbits for which the ratios of their orbital periods become close to ratios of relatively small natural numbers. In Molchanov's opinion, this resonance property is ensured by small dissipative forces. We offer another possible explanation of this phenomenon without taking dissipation into account.
Keywords: resonance, commensurability. 
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M. B. Gubaidullin. Commensurability and Molchanov's hypothesis. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 1, pp. 139-154. http://geodesic.mathdoc.fr/item/TMF_2016_187_1_a10/

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