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The gravitational model of the three elements theory gives explanations
for the dark matter mysteries, and the Pioneer anomaly. Concerning the
earth flyby anomalies, the theoretical order of magnitude is the same as
the experimental one. A very small modification of the perihelion
advance of the planet orbits is calculated by this model. Sideral gravity is explained. The disparity
of the gravitational constant measurements might also be explained. Anomalies are predicted for the inner planets ephemerides. Meanwhile, this gravitational model is perfectly compatible with
restricted and general relativity, and is part of the three element
theory, a unifying theory.

The gravitational model of the three elements theory gives explanations for the dark matter mysteries, and the Pioneer anomaly. Concerning the earth flyby anomalies, the theoretical order of magnitude is the same as the experimental one. A very small modification of the perihelion advance of the planet orbits is calculated by this model. The disparity of the gravitational constant measurements might also be explained. Meanwhile, this gravitational model is perfectly compatible with restricted and general relativity, and is part of the three element theory, a unifying theory.

This paper is following the article "A solution for the 'Dark Matter Mystery' based on Euclidean Relativity" (2009). It validates the explanation of dark matter mystery detailed in this article.

The study of this article suggests an explanation for the ?dark matter mystery?. This explanation is based on a modification of Newton's law. This modification is conducted from an Euclidean vision of relativity. Concerning the mystery of the velocity of the stars inside a galaxy, the study calculates a theoretical curve which is different from the one coming from Newton's law. This theoretical curve is very close to the measured one. Concerning the mystery of the velocity of a galaxy inside its group, the explanation is more direct. For this mystery, the study calculates a greater value for G, the gravitational constant.

This is a short description of the Three elements theory (20 pages). The complete document (150 pages) is available in french language only, on the internet site http://lumi.chez-alice.fr/3elt.pdf. The three elements theory is a unifying theory.

The study of this article suggests an explanation for the "dark matter mystery". This explanation is based on a modification of Newton's law. This modification is conducted from an Euclidean vision of relativity. Concerning the mystery of the velocity of the stars inside a galaxy, the study calculates a theoretical curve which is different from the one coming from Newton's law. This theoretical curve is very close to the measured one. Concerning the mystery of the velocity of a galaxy inside its group, the explanation is more direct. For this mystery, the study calculates a greater value for G, the gravitational constant.

A 2-page description of the article "A Solution for "Dark Matter Mystery" Based on Euclidean Relativity".