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




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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Der Autor - Klaus Piontzik