On time-dependent orbital complexity in gravitational N-body simulations

Details On time-dependent orbital complexity in gravitational N-body simulations On time-dependent orbital complexity in gravitational N-body simulations

2008-01-31

arxiv.org/abs/0801.4933v2

Astronomy and Astrophysics

Astrophysics

17 pages, 15 figures, 2 tables, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2008.13041.x

We implement an efficient method to quantify time-dependent orbital complexity in gravitational $N$-body simulations. The technique, which we name DWaTIM, is based on a discrete wavelet transform of velocity orbital time series. The wavelet power-spectrum is used to measure trends in complexity continuously in time. We apply the method to the test cases N=3 Pythagorean- and a perturbed N=5 Caledonian configurations. The method recovers the well-known time-dependent complexity of the dynamics in these small-$N$ problems. We then apply the technique to an equal-mass collisional N=256 body simulation ran through core-collapse. We find that a majority of stars evolve on relatively complex orbits up to the time when the first hard binary forms, whereas after core-collapse, less complex orbits are found on the whole as a result of expanding mass shells.

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