Abstract

The work is devoted to the study of the physical libration of the Moon. Interest in the traditional topic related to the rotation of the Moon is stirred up by the activity of many countries regarding the development of circumlunar space. Scientifically, the main agenda is to consider the viscosity of the core. At this stage of the theory development, such effects as indirect and direct perturbations from the planets were considered, the 4th order harmonic was included in the gravitational potential of the Moon, and the mean tidal potential was also considered. The inclusion of the described effects in the equations of the Moon’s rotation led to a significant improvement in the solution when compared with the corresponding data from the DE421 theory, although the residual differences still remain greater than the 1 ms accuracy required by the theory. The influence of the direct effect from the planets was milliseconds. The influence of the 4th harmonic manifested itself as a systematic shift of the order of 0.85\('' \) in the residual differences in libration in longitude. Considering the tide made it possible to reduce the residual differences in latitude by almost an order of magnitude. In this case, the main factor that reduces the residual differences is changes in the second-order Stokes coefficients. The calculations were carried out using the DE421 ephemeris built at NASA Jet Propulsion Laboratory.

中文翻译：

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月球的物理解放：一个扩展的问题

摘要

这项工作致力于研究月球的物理解放。许多国家围绕月球空间发展的活动激起了人们对与月球自转有关的传统话题的兴趣。从科学上讲，主要议程是考虑核心的黏性。在理论发展的这个阶段，考虑了诸如来自行星的间接和直接扰动的影响，在月球的引力中包括了四阶谐波，并且还考虑了平均潮汐势。与来自DE421理论的相应数据相比，在月球自转方程中包含上述影响导致了解决方案的重大改进，尽管残差仍然保持大于理论要求的1 ms精度。行星直接作用的影响是毫秒。第四谐波的影响表现为0.85量级的系统偏移\（''\）在经度上的残差差异。考虑到潮汐，可以将剩余的纬度差异减小近一个数量级。在这种情况下，减小残留差异的主要因素是二阶斯托克斯系数的变化。计算是使用NASA喷气推进实验室制造的DE421星历表进行的。