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.

The use of Legendre polynomials for the approximation of one-dimensional distributions of planetary mass densities and the study 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.