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Context. Within the framework of the accepted simplifying hypotheses, an approximate scheme of calculation of the parameters of the active and passive sections of the trajectory is proposed, which allow to study the trajectory properties of the existing as well as perspective samples of the reactive and rocket assisted projectiles. The object of the study is a model for the calculation of the trajectories of the reactive and rocket assisted projectiles based on a nonlinear system of differential equations of motion of the center of mass of the solid. Purpose. The purpose of the work is to propose for practical apply a new system of corrections in the range and direction for deviation of the flight conditions of the projectiles from the table value, based on the calculations of elements of the trajectory of the projectiles at the end of the active section of the trajectory, which greatly improves the accuracy of preparation of installations for firing and as a result  the effectiveness of hitting the target. Objective. The goal of the work is to propose a new system of corrections in the range and direction for deviation of the flight conditions of the projectiles from the table value, based on the calculations of elements of the trajectory of the projectiles at the end of the active section of the trajectory, which greatly improves the accuracy of preparation of installations for firing and as a result  the effectiveness of hitting the target. Method. The proposed analytical method allows to: determine the set of indicators characterizing the process of approaching the rocket projectile from the guide and clarify the initial conditions necessary to solve the system of equations of motion on the active section of the trajectory; which is regarded as a standalone trajectory that affects the course of the projectile's flight on the active section of the trajectory. The calculation of the passive trajectory plot for rocket projectile and the second passive plot for active rockets projectile is necessary to obtain the trajectory parameters at the point of fall (in the vicinity of the target) which is important for the correction of fire in the subsequent defeat of the target by reactive (active-reactive) projectile's (mortar shells). Results. The developed calculation method was tested in the estimation of the accuracy of the calculation of the elements of the trajectory of projectile movement. Conclusions. The calculations performed on the basis of the developed analytical method confirm the workability of the proposed mathematical support and allow recommending it for practical use in solving problems of external ballistics with the prospect of optimizing the trajectory of motion of controlled and unmanaged flying objects. Prospects for further research are to create consistent methods for calculating tactical and technical indicators of new types of ammunition. KEYWORDS: mathematical modeling of the ballistic solid motion, the movement of the center of masses of solids, which modeling of reactive (active-reactive...

Abstract. Urban planning is a critical issue in urban planning around the world. Real monitoring of landscape and environmental processes, urban planning and sustainable development designers associate with the construction of virtual models. The aim of the study is to develop methodological approaches to planning in the field of landscape and environmental sustainability taking into account the landscape features of the city of Volgograd and the formation of a topographic basis of a virtual model aimed at resolving environmental, social and figurative problems of the city. The construction of the landscape object of the Green ring in the suburban area of Volgograd and the environmental impact of the water surfaces of the Volga river on the sustainable development of the comfortable spaces of the city were analyzed. The modeling for the integration of a system of natural components of the landscape based on the climate aspect and the specifics of the topography in the virtual model of landscape ecological sustainable development the water-green landscapeology. The results of the study reveal the scientific and methodological provisions of urban planning and establish practical goals and implementation of virtual models aimed at preserving the true image of the city

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Urbanization has a dual effect on the opportunities of sustainable development. On the one part, urbanization gives rise to favourable living conditions for the population, on the other part, man-induced impact on the environment and humans themselves grows because of the increased urban infrastructure and population density. Taking into account the diversity of land resources and regions in a country, it is necessary to work for the highest possible population distribution throughout the country. The adverse urbanization effect might be reduced and, consequently, sustainable development will be supported. Besides, land resources might be developed more effectively, the fact having a positive effect on the sustainability as well. The highest potential is seen in developing ecological settlement types based on rural settlements. The article demonstrates the statistical analysis of ecological settlements designed as a sustainable territorial unit. Such type of settlement contributes to the region’s economic base development while the environment factors are taken into account. Thus, in general, it facilitates the sustainable development of urban areas by means of making the population less concentrated and the man-induced impact reduced.