Theories of the Aether Articles relating to the Emergence of Scientific Theories of the Cosmic Aether
On the distribution of the planets and the satellites of the planet Maurice Allais - 22-DEC-2003 Translated from the French by François Bocquet 1-AUG-2004
Web Publication by Mountain Man Graphics, Australia - Southern Winter 2004

Introduction

On the distribution of the planets and the satellites

This study of Maurice Allais contains 69 pages and is 
finished with a bibliography naming 29 different research 
works dating from 1766 to our present days. 

It has not been yet the object of a publication.

Here follow a resume of his paper.


The distances of the sun to the planets of the solar system 
and the distances of the planet central of the satellites 
of Jupiter, Saturn and Uranus are not just any numbers.

We observe that those distances answer to a mathematical law, 
yet not knowing as of today of an explicit reason.


1.	Anterior Works.

The effort to bring to attention the relation of the 
proportional distances of and in the solar system as very 
ancient origin and Wolf, the German Astronomer has been 
one of the first to realize the importance of those 
researches in 1741.

Titius, rediscovered it in 1766. Yet it is mainly known 
due to Bode who published his work in 1772. It is known 
as the Titius- Bode law.

Subsequently numerous contribution have been presented, 
some of greater value than others. To the fore ranks of 
those contributions, we can situate the formulation of 
Gaussin, simultaneously valuable for the planets and 
for the satellites of the planets.


2.	Contribution of Maurice Allais.

The research work of Maurice Allais inscribes itself in 
the long lineage of all those publications. His formulation 
depends only on 2 parameters and situates itself in the way 
opened by Gauss in 1880.


The formula is written as:








Where:

dn’ represents the distance of the satellite to the central planet, and 
ra the radius of the central planet, and 
na* a positive integer.

The parameter A* and na*, represent 2 parameter of adjustment. 
The values of the n represent the numerical order of the satellite 
to the central planet.

Altogether this formulation gives excellent results for the system 
of the Sun, of Jupiter and of Saturn and Uranus.

The estimations of the dn, ra results of the relation of the 
Celestial mechanics, which place itself in the isotropic and 
Euclidian space.

The considered formulation can be interpreted as corresponding 
to a localization of the planets and of the satellites of the 
planets at the sinusoids knots of the period T=2 in the space 
of the n’.

As of today, no theoretical explanation has been given for this 
formulation, which brings the intervention of the neperien 
logarithms of the distance in space fundamentally isotrope and 
Euclidian of the celestial mechanic. Nevertheless, it certainly 
doesn’t diminish its importance and significance.


Author:      Maurice Allais (22-DEC-2003)

Translator:  François Bocquet 01-AUG-2004


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