水星近日点异常岁差的成因
On the origin of the anomalous precession of Mercury's perihelion
摘要：
牛顿物理学中的远距离作用被经典后牛顿物理学中的有限传播速度所取代。因此，牛顿物理学中的运动微分方程被泛函微分方程所取代，其中考虑了与有限传播速度相关的延迟。带有后牛顿修正的牛顿运动方程常用来近似泛函微分方程。在“On the origin of量子力学”，preprint，physics/0505181，2005年5月中，提出了一个简单的原子模型，该模型基于再现量子化玻尔原子模型的泛函微分方程。唯一的假设是电动相互作用具有有限的传播速度。在“On the origin of the gravitational quantization：The Titius-Bode Law”，preprint，physics/0507072，Jul 2005中，描述了一个基于泛函微分方程的简单引力模型，该模型给出了引力量化和对修改后的Titius-Bode定律的解释。首先，在这项工作中，我们回顾了爱因斯坦的计算，以达到水星近日点的异常岁差的解释。其次，我们恢复了一个古老的工作格伯在1898年作为一个先驱的弱智理论。格伯用速度势解释了水星近日点的异常进动。本文用一个简单的推迟势解释了水星近日点的反常岁差，这个推迟势在一级上与Gerber势一致，这与作者以前的工作是一致的。
英文摘要：
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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