4 - The angle approach
4.1 - Angle differences
temporary, a quantitative analysis can be reached also by
other methods. The angle approach takes the co-ordinates
of the extreme values (total intensity) and forms the
differences first between the latitudes and then with the
For simplicity only the extreme values 1 (chapter 2.4) have been illustrated for the following analysis.
Der Einfachheit halber sind im Folgenden nur die Extremwerte 1 aus zur Auswertung abgebildet worden.
forming the difference of the latitude coordinates for the extreme values
forming the difference of the longitude coordinates for the extreme values
|Saddle point||164,5625||45,6375||7, 8125||7, 8125|
|If one looks these angle
differences more exactly, than can be shown that
practically all appearing angles are multiples
of certain basic angles.
Most angles lie close to values which are a multiple of 7.5 degrees. And one receives 7.5 degrees, if the full circle is disassembled in 48 sections. The number 48 again is a multiple of the number 3 as well as the number 4.
Already from it will consist evidently that here oscillation figures can appear with the number 3 or 4 or a combination of both numbers.
4.2 - Angle forming
|To allow a better comparison, the angle spectra are constructed at first for the 3rd, 4th and 5th partition from 0 degrees up to 180 degrees.|
Multiple of 2,8125
Multiple of 3,75
Multiple of 2,25
4.3 - Evaluation of the differences
differences between the magnetic extreme values are now
compared with the angle spectra constructed on top.
Only the values from the 3rd, 4th or 5th partition, whose difference to the extreme value differences are smaller than ± 1 degree, are put down in a table.
|An analysis occurs at first which regard to the latitude coordinates:|
Difference evaluation of the latitude coordinates for the extreme values
|And afterwards an analysis occurs with regard to the longitude coordinates:|
Difference evaluation of the longitude coordinates for the extreme values
|Anomaly-Saddle point||7, 8125||7,5||8,4375||-|
|Minimum-Saddle point||7, 8125||7,5||8,4375||-|
|How is to be seen from
both tables, the 3rd 4th and 5th partition with enough
exactness (smaller than ±1 degrees) appears. In the
latitude, as well as in the longitude. However, the
geometrical or stereometrical consequence from this is,
that all Platonic solids can appear as
oscillation figures. And just with thus becomes
tetrahedron- against dodecahedron-discussion (what
concerns fields) simply superfluously.
The consequence is likewise that the pure tetrahedron-, octahedron or dodecahedron and icosahedron models deliver only partial views of the complete oscillation field, and, hence, are not entire. To the treatment of the concerning geologic models see chapter 13.
4.4 - The zero point
|Most angles of the
extreme values lie close to values which show a multiple
of 7.5 degrees.
The question which rises here, if within this oscillation structure a zero point exists, from which the whole field becomes representable?
To answer this question it must be checked, how often 7.5 is included in the respective longitude data and which rest appears.
The longitude coordinates for the extreme values 1
|Name||Longitude||Longitude devide by 7,5||Rest|
|North-Maximum||- 96,125 degrees West||-12||6,125|
|South-Maximum||+144,95 degrees East||19||2,45|
|Great Anomaly||+107,125 degrees East||14||2,125|
|Minimum||- 50,8375 degrees West||-6||5,8375|
|Saddle point||+99,3125 degrees East||13||1,8125|
|If a zero point exists, than the rest shows the longitude of the zero point. It is the matter tf find factors (m) which deliver the identical rest for all points. It turns out the following result:|
The coordinates for the extreme values 1
|North-Maximum||- 96,125 degrees West||-11||-13,625|
|South-Maximum||+144,95 degrees East||21||-12,55|
|Great Anomaly||+107,125 degrees East||16||-12,875|
|Minimum||- 50,8375 degrees West||-5||-13,3375|
|Saddle point||+99,3125 degrees East||15||-13,1875|
The coordinates for the extreme values 2
|North-Maximum||- 96,04 degrees West||-11||-13,54|
|South-Maximum||+144 degrees East||21||-13,5|
|Great Anomaly||+106,5 degrees East||16||-13,5|
|Minimum||- 50,8145 degrees West||-5||-13,3145|
|Saddle point||+99 degrees East||15||-13,5|
|The average from all rest corners amounts to -13,29 degrees. Up to 2 values all rests lie close to -13,5 degrees. Hence -13,5 degrees can be accepted here as longitude position of the zero point.|
|In the consequence the longitude positions of the extreme values of the total intensity from the earth magnetic field are representable by the following formula:|
|m is an element of the integers (...-3,-2,-1,0,1,2,3...) and λ0 = -13,5 degrees of west.|
|From now on this equation is called longitude position formula for the magnetic extreme values.|
help of satellite geodesy in 1966 by C.A.Lundquist and G.
Veis determined the following parametres:
(see in addition Geodetic parameters for a 1966 Smithsonian Institution Standard Earth" von Lundquist, C.A., Veis, G., See also Torges Geodäsie" page 77.)
a1 is the great
equator half-axis, a2 the small
equator half-axis and λo the longitude of
the great half-axis.
the longitude positions of the extreme values from the
earth magnetic field
stand in relation with the equator axes of a three-axle ellipsoid.
|See also chapter 17.
Also in modern publications is still maintained that the magnetic field disposes of no symmetrical structures. As to be seen in this chapter angle approach, however, this is right only the first sight and does not withstand a more precise examination.
|The book to the website - The website to
at time is the book only in german language available
|The Advanced Book: Planetary Systems|
|The theory, which is developed in this book is based on the remake and expansion of an old idea. It was the idea of a central body, preferably in the shape of a ball, formed around or in concentric layers.
Democritus was the first who took this idea with his atomic theory and thereby introduced himself to the atoms as fixed and solid building blocks.
Is the atom used as a wave model, that allows to interpret concentric layers as an expression of a spatial radial oscillator so you reach the current orbital model of atoms.
Now, this book shows that these oscillatory order structures, described by Laplace`s equation, on earth and their layers are (geologically and atmospherically) implemented. In addition the theory can be applied on concentric systems, which are not spherical but flat, like the solar system with its planets, the rings that have some planets and the moons of planets or also the neighbouring galaxies of the milky way. This principle is applicable on fruits and flowers, such as peach, orange, coconut, dahlia or narcissus.
This allows the conclusion that the theory of a central body as a spatial radial oscillator can be applied also to other spherical phenomena such as spherical galactic nebulae, black holes, or even the universe itself. This in turn suggests that the idea of the central body constitutes a general principle of structuring in this universe as a spatial radial oscillator as well as macroscopic, microscopic and sub microscopic.