Relativistic perihelion precession of orbits of Venus and the Earth

Relativistic perihelion precession of orbits of Venus and the Earth
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金星和地球轨道的相对论近日点进动

DOI:
10.2478/s11534-008-0081-6
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发表时间:
2008
影响因子:
--
通讯作者:
Krishnan R. S. Mani
Krishnan R. S. Mani
中科院分区:
--
文献类型:
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作者:
A. Biswas;Krishnan R. S. Mani

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1859年勒威耶首次提出的解释水星轨道近日点“异常”进动的理论中,只有爱因斯坦在1915年11月提出的广义相对论可以计算水星的“异常”进动,其精度达到观测精度的要求。由于水星的岁差是广义相对论的直接结果,爱因斯坦认为这是他提出的三个检验中对广义相对论最关键的检验。随着空间时代的到来,观测精度进一步提高,现在有可能探测太阳系其他行星轨道的这种岁差,金星和地球这一结果有力地证明了行星轨道近日点进动的“反常”现象是一种相对论效应。我们以前的论文提出了数学模型和水星轨道的相对论近日点进动的计算值使用一个替代的相对论引力模型,这是爱因斯坦的相对论理论的改造形式,只保留实验证明的原则。此外,这个模型还得益于近世纪来相对论实验的数据,包括那些随着太空时代的到来而成为可能的实验数据。本文用这个模型计算了金星和地球的相对论性岁差,计算结果与广义相对论的预言比较好,在不确定度范围内与观测值也是一致的。
Among all the theories proposed to explain the “anomalous” perihelion precession of Mercury’s orbit first announced in 1859 by Le Verrier, the general theory of relativity proposed by Einstein in November 1915 alone could calculate Mercury’s “anomalous” precession with the precision demanded by observational accuracy. Since Mercury’s precession was a directly derived result of the full general theory, it was viewed by Einstein as the most critical test of general relativity from amongst the three tests he proposed. With the advent of the space age, the level of observational accuracy has improved further and it is now possible to detect this precession for other planetary orbits of the solar system — viz., Venus and the Earth. This conclusively proved that the phenomenon of “anomalous” perihelion precession of planetary orbits is a relativistic effect. Our previous papers presented the mathematical model and the computed value of the relativistic perihelion precession of Mercury’s orbit using an alternate relativistic gravitational model, which is a remodeled form of Einstein’s relativity theories, and which retained only experimentally proven principles. In addition this model has the benefit of data from almost a century of relativity experimentation, including those that have become possible with the advent of the space age. Using this model, we present in this paper the computed values of the relativistic precession of Venus and the Earth, which compare well with the predictions of general relativity and are also in agreement with the observed values within the range of uncertainty.