Table 3: Stability of orbits in mean motion resonances. The numbers give the stable orbits according to the 8 different initial conditions.
  Gl 777 A 47 Umaa HD 72659 Gl 614b HD 4208c
  P A Mode I Mode II P A P A P A
5:1 1 0 8 6 8 8 0 0 8 8
4:1 0 0 3 0 8 8 0 0 8 8
3:1 0 0 0 0 4 3 0 0 8 7
5:2 0 0 6 7 2 2 0 0 3 2
7:3 0 0 1 1 1 0 0 0 8 8
2:1 0 0 1 2 3 3 0 0 8 8
5:3 0 0 - - 2 1 - - 7 5
3:2 2 1 - - 0 2 0 0 7 8
4:3 0 0 4 0 - - - - 3 1
Sum [%] 4.7 1.6 28.6 69.6 42.2 43.8 0.0 0.0 83.3 76.4
Total Sum [%] 3.1 34.9 43.0 0.0 79.9
a Note that in the case of the 47 Uma system, where two Jovian planets are known, we did not use peri- and apoastron position as initial conditions, but 2 different modes corresponding to an aligned or anti-aligned configuration of the two major bodies.
b Besides the 7 given resonances, we calculated the motion inside the 7:2, 9:2 and 8:3 resonance - again, we only found unstable motion.
c For this system, we calculated all resonances up to the 4th order (see Sect. 4); with the exceptions of the 15:11 and the 13:9 MMRs the other resonant positions showed the same amount of predominantly stable motion.

Source LaTeX | All tables | In the text