I investigated further into the stuttering issue.
I tried the UFO like ThorstenB suggested.
Then I tried some other planes and found something interesting.
There is regular stuttering with every plane I tested.
But the interval between the stutters differs with every plane.
See my results:

C172p       ~6.000 sec    jsbsim
747-400     ~5.100 sec    jsbsim
767-300     ~2.900 sec    yasim
777-200     ~4.000 sec    yasim
Bravo       ~1.300 sec    yasim
ufo        ~41.000 sec

All planes are from the git repositiry.
What I can say is that yasim-planes seem to stutter more frequently than
jsbsim-planes.
With the ufo it's almost not noticeable unless you wait 41 seconds for the
next stutter.

@Csaba and others
If you have time, could you please compare it with your numbers?
I tested at LFML (Marseille) because I get good fps there. But any other
place with good fps should be fine.
The best thing to make the stutters more noticeable is to fly in the
cockpit, fly a continuous steep turn in one direction (so you get a circle)
and look to the ground. Use a stopwatch or use the clock on the panels of
some planes.

I wonder what may be the cause for these stutters.
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