Following up on my previous post mentioning the MEGNO statistic as a measurement of chaos presence in planetary systems I am making available a new 17-page presentation titled "Calculating the MEGNO Metric and the Lyapunov Time Chaos Indicators for the Trappist Dwarf Star Seven Planet System"...
In my previous post I used REBOUND integrator simulations to compare with the prior Boost-ODEINT integrator simulations. These comparisons confirmed that chaotic effects will appear in the Trappist Dwarf Start seven-planet system on a time scale visible within the expected lifetime of Webb...
As to your first point about the interest in the Trappist System, there are many astronomers, astrophysicists, and astrobiologists interested in that system and who are awaiting stream of results from the Webb telescope for which this system will special observing time. As you may know, perhaps...
This is a major update to the present work simulating chaos effects in the orbits of the seven Trappist System planets. As I mentioned in my previous post I had just become acquainted with a newer n-body simulation code with better integration algorithms. That code is documented at the web...
I have competed a set of supplemental simulations for the Trappist System planet orbits, as I had indicated I would do. These simulations are the butterfly effect comparisons over 300 years for the eccentricities and the semi-major axis shape parameters of the elliptical orbits of the seven...
So far for the Trappist system planets I have looked at the chaos onsets only for the two orbital coordinates: radius and angle. However, it will be straightforward to check the semi-major axis time behavior when there are small changes made in the initial conditions. I'll post those results...
As a retired physics professor with a long experience in complex simulation software for high energy physics experiments (e.g. the LHC) I revisited last July the n-body planetary simulations which I taught in an undergraduate physics course during the Spring 2017.
It was then that the...