Statistics – Computation
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992aj....104.2022w&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 104, no. 5, p. 2022-2029.
Statistics
Computation
37
Many Body Problem, Solar System Evolution, Computational Astrophysics, Systems Stability
Scientific paper
The stability of new symplectic n-body maps is examined from the point of view of nonlinear dynamics. The resonances responsible for the principal artifacts are identified. These are resonances between the stepsize and the difference of mean motions between pairs of planets. For larger stepsizes resonant perturbations are evident in the variation of the energy of the system corresponding to these stepsize resonances. It is shown that the principal instability of the method can be predicted and corresponds to the overlap of the stepsize resonances. It is noted that the analysis suggests that other artifacts will occur. For example, the overlap of a stepsize resonance with a resonance of the actual system may also give a region of chaotic behavior that is an artifact. It is pointed out that the fact that the principal artifacts corresponds to a particular set of stepsize resonances suggests that it may be possible to perturbatively remove the effect when the stepsize resonances are nonoverlapping.
Holman Matthew
Wisdom Jack
No associations
LandOfFree
Symplectic maps for the n-body problem - Stability analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Symplectic maps for the n-body problem - Stability analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic maps for the n-body problem - Stability analysis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1551526