dorsal/arxiv
View SchemaOn the origin of the anomalous precession of Mercury's perihelion
| Authors | Jaume Giné |
|---|---|
| Categories | |
| ArXiv ID | physics/0510086 |
| URL | https://arxiv.org/abs/physics/0510086 |
| Journal | Chaos, Solitons & Fractals, Volume 38, Issue 4, Pages 1004-1010, November 2008 |
Abstract
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the delay associated with the finite propagation speed is taken into account. Newtonian equations of motion, with post--Newtonian corrections, are often used to approximate the functional differential equations. In ``On the origin of quantum mechanics'', preprint, physics/0505181, May 2005, a simple atomic model based on a functional differential equation which reproduces the quantized Bohr atomic model was presented. The unique assumption was that the electrodynamic interaction has a finite propagation speed. In ``On the origin of the gravitational quantization: The Titius--Bode Law'', preprint, physics/0507072, Jul 2005, a simple gravitational model based on a functional differential equation which gives a gravitational quantification and an explanation of the modified Titius--Bode law is described. Firstly, in this work, we recall the calculations made by Einstein to arrive at the explanation of the anomalous precession of Mercury's perihelion. Secondly, we recover an ancient work of Gerber in 1898 as a precursor of the retarded theories. In this paper Gerber gave an explanation of the anomalous precession of the Mercury's perihelion in terms of a velocity--dependent potential. In this paper an explanation of the anomalous precession of Mercury's perihelion is given in terms of a simple retarded potential, which, at first order, coincides with Gerber's potential, and which agrees with the author's previous works.
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"abstract": "Action at distance in Newtonian physics is replaced by finite propagation\nspeeds in classical post--Newtonian physics. As a result, the differential\nequations of motion in Newtonian physics are replaced by functional\ndifferential equations, where the delay associated with the finite propagation\nspeed is taken into account. Newtonian equations of motion, with\npost--Newtonian corrections, are often used to approximate the functional\ndifferential equations. In ``On the origin of quantum mechanics\u0027\u0027, preprint,\nphysics/0505181, May 2005, a simple atomic model based on a functional\ndifferential equation which reproduces the quantized Bohr atomic model was\npresented. The unique assumption was that the electrodynamic interaction has a\nfinite propagation speed. In ``On the origin of the gravitational quantization:\nThe Titius--Bode Law\u0027\u0027, preprint, physics/0507072, Jul 2005, a simple\ngravitational model based on a functional differential equation which gives a\ngravitational quantification and an explanation of the modified Titius--Bode\nlaw is described. Firstly, in this work, we recall the calculations made by\nEinstein to arrive at the explanation of the anomalous precession of Mercury\u0027s\nperihelion. Secondly, we recover an ancient work of Gerber in 1898 as a\nprecursor of the retarded theories. In this paper Gerber gave an explanation of\nthe anomalous precession of the Mercury\u0027s perihelion in terms of a\nvelocity--dependent potential. In this paper an explanation of the anomalous\nprecession of Mercury\u0027s perihelion is given in terms of a simple retarded\npotential, which, at first order, coincides with Gerber\u0027s potential, and which\nagrees with the author\u0027s previous works.",
"arxiv_id": "physics/0510086",
"authors": [
"Jaume Gin\u00e9"
],
"categories": [
"physics.gen-ph"
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"journal_ref": "Chaos, Solitons \u0026 Fractals, Volume 38, Issue 4, Pages 1004-1010,\n November 2008",
"title": "On the origin of the anomalous precession of Mercury\u0027s perihelion",
"url": "https://arxiv.org/abs/physics/0510086"
},
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