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Round-off sensitivity in the N-body problem

Authors: Herwig Dejonghe; Piet Hut;

Round-off sensitivity in the N-body problem

Abstract

The solutions to the equations of motion of the gravitational N-body problem are extremely sensitive to very small changes in initial conditions, resulting in a near-exponential growth of deviations between neighboring trajectories in the system’s 6N-dimensional global phase space. We have started to investigate the character of this instability, and the relative contributions to the exponential growth given by two-body, three-body, and higher-order encounters. Here we present our first results on 3-body scattering, where we measured the total amplification factor of small perturbations in the initial conditions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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