Influence of planets of the solar system on the precession of the orbit of Mercury is studied in the framework of classical mechanics. It is shown that the average perihelion shift of the orbit of Mercury, calculated in the framework of the planar limited problem, is 556.5 arc seconds per century and coincides with the observed one with a relative accuracy of 2.5%. The incomplete coincidence between the calculated average displacement and the observational data is explained by the presence in the observed displacement of vibrational components with a total amplitude of up to 80 arc seconds and periods from several years to tens of years.

中文翻译：

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水星轨道的近日点偏移

在经典力学的框架下研究了太阳系行星对水星轨道进动的影响。结果表明，在平面有限问题的框架内，水星轨道的平均近日点偏移为每世纪556.5弧秒，与观测到的相吻合，相对精度为2.5％。计算出的平均位移与观测数据之间的不完全重合是由于观测到的位移中存在振动分量而引起的，这些振动分量的总振幅高达80弧秒，周期从数年到数十年不等。