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arxiv: 1312.7544 · v1 · pith:GH6ZK2B5new · submitted 2013-12-29 · 🧮 math.DS · astro-ph.IM

The spin-orbit resonances of the Solar system: A mathematical treatment matching physical data

classification 🧮 math.DS astro-ph.IM
keywords spin-orbitmathematicalsolarsystemastronomicalcorrespondingdatadissipative
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In the mathematical framework of a restricted, slightly dissipative spin-orbit model, we prove the existence of periodic orbits for astronomical parameter values corresponding to all satellites of the Solar system observed in exact spin-orbit resonance.

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