On the evolution of the resonant planetary system HD 128311
Zsolt Sandor & Wilhelm Kley
Astronomy & Astrophysics (2006), 447, L31
Link at Astronomy & Astrophysics:
A&A, 447 L31
Animation of the eccentricity evolution of HD 128311
(Created by: Zsolt Sandor & Peter Klagyivik, Eötvös Lorand University, Budapest, Hungary)
The animation shows the secular evolution of the osculating ellipses.
The timescale of the orbital motion of the planets and apsidal motion
of the ellipses differs very much, therefore it is almost impossible
to show the orbital motion of the planets together with the precession
of the ellipses. The pericenters of the ellipses are marked by
straight lines.
The real period of the whole system is around 1700 years, meaning that
after this time interval the elements return to their initial values.
In order to understand better the dynamics of the system, have alook at
the following plot which shows the evolution of the
eccentricities together with the evolution of the arguments of
pericenters in the same figure (for for one period).
Note that the sudden change of
\omega_2 corresponds to the case when e_2=0! But this is, of course,
quite natural, since \omega is not defined for a circular orbit!
(by Zsolt Sandor).
