The three-body problem: hunting ground
thingiverse
The landscape embodies abstract mathematical space where 13 periodic solutions to the three-body problem were discovered by Veljko Dmitrašinović and myself in 2013 [[ScenceNews](https://www.sciencemag.org/news/2013/03/physicists-discover-whopping-13-new-solutions-three-body-problem)]. Subsequently, thousands of additional periodic solutions have been found by us or other authors within the same "hunting ground". All of them can be seen in the beautiful Observable Notebook [Periodic Planar Three-Body Orbits](https://observablehq.com/@rreusser/periodic-planar-three-body-orbits) written by Ricky Reusser. Each infinite peak represents a periodic solution to the three-body problem. More formally, the landscape depicts the negative logarithm of the return proximity function in the search plane. For those interested in more mathematical details, we authored AJP article "[A guide to hunting periodic three-body orbits](http://suki.ipb.ac.rs/AJP_Suvakov_Dmitrasinovic.pdf)"
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