Franz Heeke: Jupiter's and Saturn's Motion

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's Motion                           Saturn's Motion
Unit of time (dot-dot) 4.25 hrs         Unit of time 6.6 hrs


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)

10.7

9.9

- 17.2

16.1

24.6

23.9

Equatorial Velocity
(km/s) (a)

9.87

12.58

2.59

2.68

0.24

0.46

Escape Velocity (km/s)
Orbital Vel. (km/s)  (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 (rings presumably formed from ejected, escaped matter). 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.

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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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