Method for approximate construction of three-dimensional mass distribution function and gradient of an elipsoidal planet based on external gravitational field parameters

Purpose. To investigate the technique for constructing a three-dimensional distribution function for the masses of the interior of the Earth and its derivatives, coordinated with the parameters of the planet's gravitational field to fourth order inclusive. By using the mass distribution function constructed, to make an interpretation of the features of the internal structure of an ellipsoidal planet. Methodology. Based on the created initial approximation of the function, which includes a reference density model, further refinements are built.

The Essence and Methodical Approaches to the Evaluation of the Tourist Potential of the Territory

The contemporary content is disclosed and the possibility of using the term “tourist potential of the territory” is explained. My position on the content of the concept “tourist potential of the territory” is formulated. The complex approach to estimation of tourist potential of a locality with consideration of its components and indicators is offered

One option of constructing three-dimensional distribution of the mass and its derivatives for a spherical planet Earth

Purpose. To build a three-dimensional function of the mass distribution of the Earth's interior according to the parameters (Stokes constant to the second order inclusive) of the external gravitational field of the Earth without considering the minimum deviation from its known density models in geophysics. Methodology. The classic methods of constructing mass distribution use only the Stoke’s constants zero and second orders.

Development of industrial enterprises by streamlining their staff

The article highlights the importance of modernization of enterprises in the conditions of  rapid scientific and technological progress and fierce competition in the domestic and foreign markets. It is shown that only entrepreneurs can effectively function that modernizes its material base, especially technological equipment. It impossible to apply the latest technology using the old and worn-out equipment.

Modernization of industrial enterprises as an important precondition of their competitive potential development

An attempt is made to analyze and generalize the effect of main organizational and technical as well as economic factors which can accelerate increase of competitiveness of the industrial production potential of Ukraine. Their content and scope of influence in the dynamic conditions of scientific and technical progress acceleration and hard competition are described. 

Conceptual bases of organizing modernization process of industrial enterprises

In  this  article  the  authors  attempt  to  highlight  the  main  conceptual  principles  of organizing the modernization process of industrial enterprises, to identify the components of this process, to reveal the content of these components and their materialization in specific projects, to define the possible ways to implement these projects in order to achieve efficient results in high-competitive  economic conditions.

Legendre polynomials use one-dimensional approximation for distribution density mass planet and investigation of their convergence

This paper presents investigation of the image's possibility of distribution of lumply-continuous functions with are presented by Legendre polynomials and practical realization of this technique and methods for its improving were investigated.


Decomposition of the gravitational field of the triaxial ellipsoidal planet using a class of nonorthogonal harmonic functions

In this work is presented a potential of triaxial ellipsoid this help of converging rows. The koeficients which are determined integral descriptions of distributing function density of planet. This approach gives a possibility in a complex to study distributing of the masses of planet, its figure and its external gravity field.


Elaboration of equipotential surfaces of planets using biorthogonal expansions

Purpose. Using known and fixed Earth potential, presented asthe biorthogonal expansion, to culculate the geoid surface, which describes the actual shape of the planet. The external gravitational field is generally described by the series of spherical functions. Since the geoid is determined with the help of such functions,  a question arises converning the identity to define the shape, moreover its several points does not belong to the region of convergence. Methodology and results.