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Осреднение аномалий и поправокG1 при вычислении характеристик гравитационного ноля по формулам молоденского

The averaging of anomalies and ofG1-corrections in computing the characteristics of the gravity field by Molodensky's formulas

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Summary

The formula for the mean value of sum (16) of free air anomalies plus theG 1-correction (2) is obtained when the area in question is sufficiently large. It is shown that this sum is equal to that of the mean value of incomplete topographic anomalies and Bouguer corrections, when the Bouguer coefficient is selected optimally, plus the\(\overline {\delta G} \) - correction (14) (practically calculated withr min-minimum distance between gravity points). Recommendations are given to calculate thek opt,k(roi) (11) and\(\overline {\delta G} \) values (14) using an electronic computer by the method of statistical analysis of the heights and anomalies. It is noted that the\(\overline {\delta G} \) - correction may be neglected as usual.

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Лимерамура

  1. М. С. Молоденский, В. Ф. Еремеев, М. И. Юркина: Методы изучения внешнего гравитационого поля и фигуры земли. Труды ЦНИИГАиК, 131, 1960.

  2. Л. П. Пеллинен: Влияние топографических масс на вывод характеристик гравитационного поля Земли. Труды ЦНИИГАиК, 145, 1962.

  3. Л. П. Пеллинен: Применение формул первого приближения для вычисления характеристик гравитационного поля Земли. Труды ЦНИИГАиК, 157, 1965.

  4. K. Arnold: Gravimetric deflections of the vertical in high mountains determined by free-air anomalies. Bull. géod., 1962, No 63.

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  6. Л. П. Пеллинен: Об одном удобном преобразовании формул Молоденского для вычисления высот квазигеоида и уклонений отвеса. Studia geoph. et geod., 9 (1965), 124.

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Пеллинен, Л.П. Осреднение аномалий и поправокG1 при вычислении характеристик гравитационного ноля по формулам молоденского. Stud Geophys Geod 9, 150–155 (1965). https://doi.org/10.1007/BF02607324

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  • DOI: https://doi.org/10.1007/BF02607324

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