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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 – JavaMan Sep 20 '11 at 2:15
If there are applications of physics to astronomy, by transitivity... – Zhen Lin Sep 20 '11 at 2:50
Yes, there are - for example, see a similar question – Alexander Konovalov Jun 3 '14 at 13:51

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.)

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