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Celestial mechanics

Fresh solutions to the four-body problem

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Describing the motion of three or more bodies under the influence of gravity is one of the toughest problems in astronomy. The report of solutions to a large subclass of the four-body problem is truly remarkable.

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Figure 1: A subclass of the three-body problem.
Figure 2: A subclass of the four-body problem.

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References

  1. Érdi, B. & Czirják, Z. Celest. Mech. Dyn. Astron. 125, 33–70 (2016).

    Article  ADS  Google Scholar 

  2. Albouy, A. Contemp. Math. 198, 131–135 (1996).

    Article  Google Scholar 

  3. Long, Y. & Sun, S. Arch. Ration. Mech. Anal. 162, 25–44 (2002).

    Article  MathSciNet  Google Scholar 

  4. Alvarez-Ramírez, M. & Llibre, J. Appl. Math. Comput. 219, 5996–6001 (2013).

    MathSciNet  Google Scholar 

  5. Piña, E. & Lonngi, P. Celest. Mech. Dyn. Astron. 108, 73–93 (2010).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Douglas P. Hamilton is in the Department of Astronomy, University of Maryland, College Park, Maryland 20742-2421, USA.,

    Douglas P. Hamilton

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  1. Douglas P. Hamilton
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Correspondence to Douglas P. Hamilton.

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Hamilton, D. Fresh solutions to the four-body problem. Nature 533, 187–188 (2016). https://doi.org/10.1038/nature17896

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