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- W2330331382 abstract "Weconsiderthecollinearthree-bodyproblemwithtwoequalmasses for the Newtonian potential $1/r$. We give a rigorous proof of the existence of a symmetric periodic solution with two collisions per period. This solution has been discovered numerically in 1956 by J. von Schubart (see [12]). Our proof is based on the direct method in Calculus of Variations, which consists in the minimization of the action on a well chosen set of periodic loops. The main difficulty is to show that the minimizer has only two collisions per period." @default.
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- W2330331382 date "2008-06-01" @default.
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- W2330331382 title "A Variational proof of the existence of Von Schubart's orbit" @default.
- W2330331382 doi "https://doi.org/10.3934/dcdsb.2008.10.699" @default.
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