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- W2345041622 abstract "We use 57 recently found topological satellites of Broucke-Hadjidemetriou-Henon's periodic orbits with values of the topological exponent $k$ ranging from $k$ = 3 to $k$ = 58 to plot the angular momentum $L$ as a function of the period $T$, with both $L$ and $T$ rescaled to energy $E=-frac12$. Upon plotting $L(T/k)$ we find that all our solutions fall on a curve that is virtually indiscernible by naked eye from the $L(T)$ curve for non-satellite solutions. The standard deviation of the satellite data from the sixth-order polynomial fit to the progenitor data is $sigma = 0.13$. This regularity supports Henon's 1976 conjecture that the linearly stable Broucke-Hadjidemetriou-Henon orbits are also perpetually, or Kolmogorov-Arnold-Moser stable." @default.
- W2345041622 created "2016-06-24" @default.
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- W2345041622 date "2016-02-10" @default.
- W2345041622 modified "2023-09-29" @default.
- W2345041622 title "Angular Momentum and Topological Dependence of Kepler’s Third Law in the Broucke-Hadjidemetriou-Hénon Family of Periodic Three-Body Orbits" @default.
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- W2345041622 doi "https://doi.org/10.1103/physrevlett.116.064301" @default.
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