Franz Heeke: Jupiter's and Saturn's Motion  / Planet Data

Figure 2: Approximate Path of Jupiter's and Saturn's center about the center of mass of their planetary system - roughly calculated by the author
Jupiter and Saturns motion
     Jupiter's Motion                                   Saturn's Motion
    Unit of time (dot-dot)  4.25 hrs (Jupiter)  6.6 hrs (Saturn)

Table 2: Planet - Data

Planet: 
Ring-System ? 
Saturn
yes   (!)
Jupiter
 yes
Uranus
yes 
Neptun
yes 
Mars
no
Earth
no
Radius   (km)
60 268
71 492
25 559
24 764
3 397
6 378
Rotation Period   (h)
   10.66
9.92
- 17.24
16.11
24.62
23.93
Equatorial Velocity 
(km / s)                (a)
     9.87
12.58
2.59
2.68
0.24
0.46
Escape Vel.  (km/s)
Orbital Velocity (b)
35.5
25.1
59.5
42.1
21.3
15.1
23.5
16.6
5.03
3.60
11.19
7.90
Ratio          (a) : (b)
1 : 2.5
1 : 3.3
1 : 5.8
1 : 6.2
1 : 15
1 : 17
Density (kg / dm3)
0.69
1 .33
1 .27
1 .64
3 .93
5. 51
Ellipticity
0.098
0.065
0.023
0.017
0.006
0.003

Above data suggest, that a favourable ratio of equatorial velocity to escape- velocity is a precondition for formation of planetary ring systems. This ratio (a : b) also seems to determine the mean density and ellipticity of a planet. 
Data Source:  NASA  <  http://nssdc.gsfc.nasa.gov/planetary/factsheet/   >  with own calculations.
The rotation period  and  radius of Uranus are not well defined yet. Uranus'  mean density will fall into the apparent pattern, if its radius is being measured at a somewhat different pressure level.

Swing

Figure 3/5: Swing System

"Shaker effects" as described in Article 1 and 2 are equivalent to swing effects.
A rotation in a swing (grafik) is being driven by lifting one's body mass against earth's gravitation.
A rotation produced by "shaker effects" is being driven by "lifting" masses against centrifugal forces - as in case of a rotating fluid in an shaken glass. Gravitational forces and centrifugal forces are equivalent, as far as laws of motion are concerned

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