Low frequency Kepler orbital elements (a, e, I)
Low-pass filtered orbital elements (a=semimajor axis,
e=eccentricy, and I=orbital inclination) of each
planet in each of our numerical integrations. The cut-off frequencies of
the low-pass filter are about 50 million years in N_+/-1,2,3 integrations,
and 274 million years in F_+/- integrations.
The horizontal axes denote time whose
unit is Gyr. The unit of a is AU, and that of I is degree.
N+1
a
e
I
N+2
a
e
I
N+3
a
e
I
N-1
a
e
I
N-2
a
e
I
N-3
a
e
I
50G+
a
e
I
50G-
a
e
I
a
e
I
a
e
I
a
e
I
a
e
I
a
e
I
a
e
I
a
e
I
a
e
I