Gravitational Model of the Three Elements Theory

Frederic Lassiaille

University of Nice Sophia-Antipolis.

DOI: 10.4236/jmp.2012.35054                

Abstract

The gravitational model of the three elements theory is an alternative theory to dark matter. It uses a modification of Newton’s law in order to explain gravitational mysteries. The results of this model are explanations for the dark matter mysteries, and the Pioneer anomaly. The disparity of the gravitational constant measurements might also be explained. Concerning the Earth flyby anomalies, the theoretical order of magnitude is the same as the experimental one. A very small change of the perihelion advance of the planet orbits is calculated by this model. Meanwhile, this gravitational model is perfectly compatible with restricted relativity and general relativity, and is part of the three element theory, a unifying theory.

Keywords

Relativity; Gravitation; Newton

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	F. Lassiaille, “A Solution for the Dark Matter Mystery Based on Euclidean Relativity,” 2010. http://lumi.chez-alice.fr/anglais/mystmass.pdf
[2]	F. Lassiaille, “Validation of Dark Matter Explanation,” 2010. http://lumi.chez-alice.fr/anglais/Calcul_NGC3310.pdf
[3]	F. Lassiaille, “Gravitational Model of the Three Elements Theory: Explanation of the Pioneer Anomaly,” 2012. http://lumi.chez-alice.fr/anglais/PioneerExpl.pdf
[4]	S. T. Turyshev and V. T. Toth, “The Pioneer Anomaly,” Living Reviews in Relativity, Vol. 13, 2010, p. 4.
[5]	G. A. Kyazumov, “The Velocity Field of the Galaxy NGC 7541,” Pis’ma v Astronomicheskii Zhurnal, Vol. 6, 1980, pp. 398-401.
[6]	G. Galletta, and E. Recillas-Cruz, “The Large Scale Trend of Rotation Curves in the Spiral Galaxies NGC 1068 and NGC 3310,” Astronomy and Astrophysics, Vol. 112, 1982, pp. 361-365.
[7]	J. D. Anderson, J. K. Campbell, J. E. Ekelund, J. Ellis, and J. F. Jordan, “Anomalous Orbital-Energy Changes Observed during Spacecraft Flybys of Earth,” Physical Review Letters, Vol. 100, No. 9, 2008, pp. 091102-091105. doi:10.1103/PhysRevLett.100.091102
[8]	I. Lorenzo, “The Recently Determined Anomalous Peri- helion Precession of Saturn,” Astronomical Journal, Vol. 137, No. 3, 2009, p. 3615. doi:10.1088/0004-6256/137/3/3615
[9]	G. T. Gillies, “The Newtonian Gravitational Constant: Recent Measurements and Related Studies,” Physical Review Letters, Vol. 60, No. 2, 1997, p. 151. doi:10.1088/0034-4885/60/2/001
[10]	M. L. Gershteyn, L. I. Gershteyn, A. Gershteyn and O. V. Karagioz, “Experimental Evidence That the Gravitational Constant Varies with Orientation,” Classical Physics, Gravitation & Cosmology, Vol. 8, No. 3, 2002, pp. 1-6.
[11]	M. L. Gershteyn and L. I. Gershteyn, “The Attractive Universe Theory,” Australian National University, Redaktsiya Izvestiya Vuzov Radiophysica, 2004. http://hdl.handle.net/1885/41360
[12]	W. Michaelis, H. Haars, and R. Augustin, “A New Precise Determination of Newton’s Gravitational Constant,” Metrologia, Vol. 32, No. 4, 1995, pp. 267-270. doi:10.1088/0026-1394/32/4/4
[13]	C. H. Bagley and G. G. Luther, “Preliminary Results of a Determination of the Newtonian Constant of Gravitation: A Test of the Kuroda Hypothesis,” Physical Review Letters, Vol. 78, 1997, pp. 3047-3050. doi:10.1103/PhysRevLett.78.3047
[14]	F. Lassiaille, “Three Elements Theory,” 1999. http://lumi.chez-alice.fr/3elt.pdf