Physics
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008an....329..998b&link_type=abstract
Astronomische Nachrichten, Vol.329, Issue , p.998
Physics
Black Hole Physics, Celestial Mechanics, Stellar Dynamics, Methods: Numerical
Scientific paper
We introduce a method to detect irregular or chaotic orbits in gravitational potentials based on a wavelet transform of stellar orbits. The method is based on a treatment of normalised frequency power-spectrum coefficients, which we interpret as occupation probabilities (or, weights) of individual frequency modes. Each probability is fed to a Shannon information-entropy formula, before summing over the whole spectrum to compute the total entropy \cal S. This entropy is then monitored in time as the wavelet coefficients change: each orbit is classified as regular or not according to \cal S and its dispersion. We find that diagrams of entropy versus entropy dispersion allow to identify orbits in a simple and efficient way, similarly to surface-of-section analysis but requiring less integration time. We apply the method to the case of a gravitational potential modulated by the periodic motion of a massive black hole and find that some 19% of stars are now shifted to highly irregular motion as a result of black hole orbital motion. This is the same fraction of stars that orbit within the black hole radius of influence.
This is thanks ..
Boily Christian M.
Detemple L.
Faber N. T.
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