potential

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.

A circuit design of a cyclic voltage generator

The present paper describes a simple circuit for construction of a cyclic voltage generator, which can be used in electrochemical synthesis of conducting polymer films like polyaniline(PANI), polythiophene, polypyrrol etc. The circuit consists of a clock generator; its frequency is converted into digital voltage which is further converted to analog form using digital to analog converter (DAC). This analog voltage, after boosting, is used as a source of voltage in the synthesis of conducting polymer.