ОБ УЧЕТЕ ВЛИЯНИЯ ТОПОГРАФИЧЕСКИХ МАСС ПРИ ВЫЧИСЛЕНИИ УКЛОНЕНИЙ ОТВЕСА И ВЫСОТ КВАЗИГЕОИДА

Summary

In accordance with the requirements for solving the Molodenskii boundary-value problem of the theory of the potential, a theory of topographic gravity reductions and gravity anomalies has been elaborated. Their definitions are founded on the method of removing and restoring the effect of a topographic massif, all terrestrial topographical masses above the surface of reference being considered as such. The result is Eq. (5), the term on the r.h.s. being close in absolute value to the terrain correction, the second close to the usual Bouguer reduction, and the third proportional to the potential of all topographic masses. To compute the third term one would have to know the geoid heights, however, it would be completely eliminated in formulating the boundary condition in the form of Eq. (7) and neither is it necessary for the boundary condition in classical form (1) to compute the deflections of the vertical and the disturbing potential, or the quasi-geoid heights. This can be seen from the formulae for these quantities in the “zero-approximation” (22) and (24).