Abstract

The increase in the complexity of facilities entails the requirements increasing for the accuracy of geodetic measurements and the need to revise some existing techniques for accounting of factors’ variety that affect the measurements results of urban development. Such factors include the Moon influence on the magnitude and direction of gravity. In order to determine the need for adjusting the methods of accounting for the effects of the moon on the geodetic measurements results, an assessment was made of their maximum influence on the value of the earth’s gravity force and the deviation of plumb lines. The results of a computational experiment for estimating the extreme values of the variation in the plumb lines’ deviations (up to 1 “), the oscillations of the measured exceedances (up to 0.5 mm per 100 m) and variations in the gravity (up to 5.44 × 10-5 μg / s2) are sufficient grounds for correcting existing methods of precision leveling and gravimetric measurements.

Highlights

  • The Moon influence on the plumb line and the size of the gravity force is known, but there is some uncertainty in this matter

  • The authoritative Encyclopedia [1] reported that the plumb line under the Moon influence is up to 0.025 "

  • The above formulas estimate only the Moon extreme impact on the measured values at the points of the Earth's surface belonging to the planes

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Summary

Introduction

The Moon influence on the plumb line and the size of the gravity force is known, but there is some uncertainty in this matter. To assess the appropriateness of taking into account the Moon influence on the value and direction of the gravity force at points on the Earth's surface, it is necessary to determine the maximum changes in these quantities under the Moon action. With this goal, we determine the changes in the projection g of gravity by the radius vector of the determined point and the projection of f to its normal.

Deviations of vertical lines
Variations of gravity
Materials and Methods
Results
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