|
Earth
and the Relationship to Phi
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| The
Relative Mean Distance of all Planets and the largest asteroid
is 1.618 when calculated in the following manner: |
|
Planet
|
Mean distance
in million
kilometers
per NASA
|
Relative mean
distance
where
Mercury=1
|
|
Mercury
|
57.91
|
1.00000
|
|
Venus
|
108.21
|
1.86859
|
|
Earth
|
149.60
|
1.38250
|
|
Mars
|
227.92
|
1.52353
|
|
Ceres
|
413.79
|
1.81552
|
|
Jupiter
|
778.57
|
1.88154
|
|
Saturn
|
1,433.53
|
1.84123
|
|
Uranus
|
2,872.46
|
2.00377
|
|
Neptune
|
4,495.06
|
1.56488
|
|
Pluto
|
5,869.66
|
1.30580
|
|
|
Total .................................
|
16.18736
|
|
|
Average .....................
|
1.61874
|
|
|
Phi ............................
|
1.61803
|
|
Degree of variance ...................................
|
(0.00043)
|
The key is to compute
the distance of the Earth from the Sun, where Mercury is 1. It is
computed as follows:
((½
(
Ö3 + 1 ))
^ (½ (
Ö4 + 1 ))
* (½ (
Ö5 + 1 )))
Note: Ö
indicates the square root of x.
There is something quite incredible
about this computation for Earth.
|
Note
the repeating term ½ ( Öx
+ 1 ) with 3, 4, and 5
|
|
½
( Öx
+ 1 )
appears in three successive
terms using the integers 3, 4, and 5 for x.
The same key integers used
in the most elementary example of the Pythagorean Theorem.
|
 |
|
The
third term, ½ ( Ö5
+ 1 ), is Phi!
|
|
More incredible yet is that
the third term,
½ ( Ö5 + 1 ), is none other
than Phi, or Ø... the Fibonacci ratio 1.6180339.
The reciprocal of Ø is Ø-1,
or 0.6180339... known as phi.
|
This results in the relationship
of 1 and Ø between Venus ¾
(raised to the ¾ power) and Earth:
|
Venus and the
Earth are linked in an another unusual relationship involving
Phi. Again, start by letting Mercury represent the basic unit
of orbital distance and period in the solar system:
|
|
Distance
from
the sun
in km (000) |
Distance
where
Mercury
equals 1 |
Period
where
Mercury
equals 1 |
| Mercury |
57,910 |
1.0000 |
1.0000 |
| Venus |
108,200 |
1.8684 |
2.5490 |
| Earth |
149,600 |
2.5833 |
4.1521 |
We then find:
:
Ö
Period of Venus * Phi = Distance of the Earth from the Sun
Earth = Venus ¾ * ½ ( Ö
5 + 1 ) = 2.583306
Earth = 1.596571
* 1.618034 = 2.583306
|
