The issue of the study of the problem of determining the geoid and quasi-geoid models is considered. Development of methods for constructing an exact geoid model using different dimensions. Analysis of the calculation of normal heights using satellite measurements, construction of geoid and quasi-geoid models by different methods is performed. Based on the results of the analytical review of existing methods for determining the geoid, it was proposed to use various data (geodetic heights, mixed gravity anomalies, anomalous potential) to construct this model, which allows building a model of a geoid with millimetre accuracy. The possibility of using the collocation method is considered. The task is to develop a methodology for constructing a geoid model using a network of low density gravity points and using pure and mixed gravity anomalies, which allows us to solve the problem of finding potential by solving the Laplace equation or using wavelets.

The possibilities of using the geospatial analysis methods for visualizing land monitoring data and modelling the spatial distribution of the main agrochemical soil indicators are discussed in the article. The research was conducted within the limits of land use of RUP “Uchkhoz BGSHA” (Republic of Belarus, Mogilev region, Goretsky district). The total area of the surveyed territory was 3187.0 hectares. The geospatial analysis of the spatial distribution of humus, mobile phosphorus, mobile potassium and pHKCl was carried out using the Geostatistical Analyst module of the ArcGIS software. Semivariograms were used as the main tool for studying the structure of the spatial distribution of agrochemical indicators. The exponential function was identified as the best variogram model, the type of the circle was standard, the type and the number of sectors was 4 with a displacement of 450, and the lag was 200 metres. The interpolation accuracy was determined from the mean error (ME), mean square error (RMSE) and standard error (RMSS). The universal kriging method was used to perform the forecast and visualize the spatial distribution of agrochemical indicators. The multivariate analysis was performed using the functionality of the Raster Calculator tool, Principal Component analysis and Maximum Likelihood Classification. The search and determination of areas of sites with the most optimal agrochemical indicators were carried out by the multifactor analysis in the GIS environment. Calculation of the area of each circuit within the limits of working parcels was carried out using the utility "Zone Statistics".

The purpose of this scientific research is to reveal the theoretical foundations of modern land management and determine its tasks. The patterns of land management, its tasks and principles are formulated in the conditions of modern agrarian reform. The system of interconnected forecasting and design of land management development is proposed. The methodological and theoretical basis of research is a dialectical method and a systematic approach to the cognition of economic phenomena and processes. According to this method, all objects are viewed not in isolation, but in a reciprocal relationship and in the process of constant development. In the course of the research, monographic, abstract-logical methods, a system approach, comparative analysis, and expert assessments were used. The scientific research is based on the development of domestic scientists, the experience of land management in the Republic of Belarus, land-cadastral data, normative and reference literature. As a result of the research, it was established that in the conditions of the agrarian reform carried out in the Republic of Belarus land management is an effective mechanism for implementing state policy in the field of land management, regulation of land relations, organization of use and protection of land. Modern land management, based on the state strategy of land reforms, should have a concept of its development based on the laws, which were set in the work, as well as successful solve these problems. For the successful solving of the problems, it is important to revive the previously existing system of forecast and project of land management development in an improved form.