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Celestial mechanics

Fresh solutions to the four-body problem

Nature volume 533, pages 187188 (12 May 2016) | Download Citation

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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  1. 1.

    & Celest. Mech. Dyn. Astron. 125, 33–70 (2016).

  2. 2.

    Contemp. Math. 198, 131–135 (1996).

  3. 3.

    & Arch. Ration. Mech. Anal. 162, 25–44 (2002).

  4. 4.

    & Appl. Math. Comput. 219, 5996–6001 (2013).

  5. 5.

    & Celest. Mech. Dyn. Astron. 108, 73–93 (2010).

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

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Correspondence to Douglas P. Hamilton.

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