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- W2088796586 abstract "The Copenhagen problem is a simple model in celestial mechanics. It serves to investigate the behavior of a small body under the gravitational influence of two equally heavy primary bodies. We present a partition of orbits into classes of various kinds of regular motion, chaotic motion, escape and crash. Collisions of the small body onto one of the primaries turn out to be unexpectedly frequent, and their probability displays a scale-free dependence on the size of the primaries. The analysis reveals a high degree of complexity so that long term prediction may become a formidable task. Moreover, we link the results to chaotic scattering theory and the theory of leaking Hamiltonian systems." @default.
- W2088796586 created "2016-06-24" @default.
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- W2088796586 date "2004-06-17" @default.
- W2088796586 modified "2023-10-05" @default.
- W2088796586 title "Crash test for the Copenhagen problem" @default.
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- W2088796586 doi "https://doi.org/10.1103/physreve.69.066218" @default.
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