PiMath.de Planetary Systems of the Earth 1
Classic Systems
 
  Copyright © Klaus Piontzik  
     
 German Version    
German Version    

2.0 - Approach for an oscillation model

The aim of this chapter is the description of basic mathematical and physical terms and conditions, that serve the development of an equation for an oscillation structure and allow a quantification of the model. The approach is based on oscillations around a ball.

Examples for oscillation possibilities:

 

Sinus

Kosinus

minus Kosinus

Sine Cosine - Cosine

Illustration 2.0.1 oscillations

 

sine or cosine = oscillation = wave

 

Applies to physical oscillations:

2.01 - Equation: f λ = c Frequency multiplied with wavelength is equal to speed of light



How to get vibrations around a ball ? - Analogous to the Bohr model of the atom, if it contains the surrounding Electron as a wave by de Broglie:

oscillations around a ball

Illustration 2.0.2 oscillations around a ball

 

It fits only an integer number of oscillations around the globe.

2.02 - Equation: nλ ⇔ 360 = 2 π n is element of the integers



The wavelength is proportional to the circle angle alpha:

2.03 - Equation: λ ⇔ α

 

wave length and circle angle

Illustration 2.0.3 wave length and circle angle

 

Condition for n vibrations around a globe:

2.04 - Equation: n α = 2 π n is element of the integers



Theoretically, the following form is possible:

2.05 - Equation: n α = 2 π m m, n are elements of the integers

Here, the oscillation circle does not close after one revolution, but only take m turns.



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 Planetare Systeme 1

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200 sides, 23 of them in color
154 pictures
38 tables

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ISBN 978-3-7357-3854-7

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Der Autor - Klaus Piontzik