Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-10-29
Astronomy and Astrophysics
Astrophysics
11 pages (total), 8 figures. Accepted for publication in MNRAS. The definitive version will be/is available at http://www.bl
Scientific paper
10.1111/j.1365-2966.2007.12608.x
We describe numerical tools for the stability analysis of extrasolar planetary systems. In particular, we consider the relative Poincare variables and symplectic integration of the equations of motion. We apply the tangent map to derive a numerically efficient algorithm of the fast indicator MEGNO (a measure of the maximal Lyapunov exponent) that helps to distinguish chaotic and regular configurations. The results concerning the three-planet extrasolar system HD 37124 are presented and discussed. The best fit solutions found in earlier works are studied more closely. The system involves Jovian planets with similar masses. The orbits have moderate eccentricities, nevertheless the best fit solutions are found in dynamically active region of the phase space. The long term stability of the system is determined by a net of low-order two-body and three-body mean motion resonances. In particular, the three-body resonances may induce strong chaos that leads to self-destruction of the system after Myrs of apparently stable and bounded evolution. In such a case, numerically efficient dynamical maps are useful to resolve the fine structure of the phase space and to identify the sources of unstable behavior.
Borczyk Wojciech
Breiter Slawomir
Gozdziewski Krzysztof
No associations
LandOfFree
The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects 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 The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-19341