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That is my question, there are applications of the branch of topology or abstract algebra to the astronomy? I know that there are to physics but to astronomy?

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    This might be better suited for http://physics.stackexchange.com/.2011-09-20
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    If there are applications of physics to astronomy, by transitivity...2011-09-20
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    Yes, there are - for example, see a similar question http://math.stackexchange.com/q/474884/2014-06-03

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The whole area of qualitative dynamical systems, which contains plenty of topology, was inaugurated by Poincaré to answer questions in celestial mechanics. (I hope this counts as astronomy.)