Curiosities

Uranus and asteroid belt

Let v is distance from the Sun measured perpendicular to planetary axis,
v = a cos j, a is semimajor axis, j obliquity of planetary axis.

            k    a [AU]   j [ ]  |cos j|     v
-------------------------------------------------
Mercury     0     0.39    -2.00    0.999    0.386
Venus       1     0.72   177.30    0.999    0.722
Earth       2     1.00    23.45    0.917    0.917
Mars        3     1.52    23.98    0.914    1.393
Uranus      4    19.18    97.86    0.137    2.631
Jupiter     5     5.20     3.12    0.999    5.198
Saturn      6     9.54    26.73    0.893    8.503
Pluton      7    39.44   118.50    0.477   18.949
Neptune     8    30.06    29.56    0.870   26.164

According to this values Uranus fit into the gap between Mars and Jupiter.

Mobilities of planets

Let T = sqrt(P*R), where P is orbital period, R rotational period. For moons with bound rotation is T=P=R.

                P         R      T
Earth          365.3    0.997   19.1
Mars           687.0    1.026   26.5
Jupiter       4332.6    0.41    42.1
Saturn       10759.2    0.44    68.8
Mercury         88.0   58.64    71.8
Uranus       30688.5    0.7    146.6
Neptune      60182.3    0.7    205.2
Venus          224.8  243.0    233.7
Pluton       90465.0    6.39   760.3

According to values T is the Earth the quickest planet.


Cycles