新的高精度LLR数据对确定相对论参数的益处
Benefit of New High-Precision LLR Data for the Determination of Relativistic Parameters
摘要：
自1969年以来，各天文台收集了月球激光测距数据，并由不同的分析小组进行了分析。近年来，使用更大的望远镜（APOLLO）和红外波长（OCA）进行了观测，从而使精确的LLR数据在月球轨道上的分布更好，并观察到月球上的后向反射器。这对于对数似然比分析中的各种研究来说是一个很大的优势。本研究的目的是评估新的LLR数据的相对论参数的确定的好处。在这里，我们展示了当前的结果，相对论参数，如可能的时间变化的引力常量$\dot{G}/G_0 = (-5.0 \pm 9.6) \times 10^{-15} \, \mathrm{yr}^{-1}$，等效原理与$Δ\left(m_g/m_i\right)_{\mathrm{EM}} = (-2.1 \pm 2.4)\times10^{-14}$和PPN参数$β-1 = (6.2 \pm 7.2) \times 10^{-5}$和$γ-1 = (1.7 \pm 1.6) \times 10^{-4}$。结果表明，各种参数的准确性有了显着提高，主要是由于更好的月球轨道覆盖范围，更好地分布在月球后向反射器上的测量，最后但并非最不重要的是，更高的数据精度。在估计的精度范围内，没有发现违反爱因斯坦理论的情况，并且结果为不同的效应设置了改进的限制。
英文摘要：
Since 1969, Lunar Laser Ranging (LLR) data have been collected by various observatories and analysed by different analysis groups. In the recent years, observations with bigger telescopes (APOLLO) and at infra-red wavelength (OCA) are carried out, resulting in a better distribution of precise LLR data over the lunar orbit and the observed retro-reflectors on the Moon. This is a great advantage for various investigations in the LLR analysis. The aim of this study is to evaluate the benefit of the new LLR data for the determination of relativistic parameters. Here we show current results for relativistic parameters like a possible temporal variation of the gravitational constant $\dot{G}/G_0 = (-5.0 \pm 9.6) \times 10^{-15} \, \mathrm{yr}^{-1}$, the equivalence principle with $Δ\left(m_g/m_i\right)_{\mathrm{EM}} = (-2.1 \pm 2.4)\times10^{-14}$ and the PPN parameters $β-1 = (6.2 \pm 7.2) \times 10^{-5}$ and $γ-1 = (1.7 \pm 1.6) \times 10^{-4}$. The results show a significant improvement in the accuracy of the various parameters, mainly due to better coverage of the lunar orbit, better distribution of measurements over the lunar retro-reflectors, and last but not least, higher accuracy of the data. Within the estimated accuracies, no violation of Einstein's theory is found and the results set improved limits for the different effects.
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