The nonlinear problems of navigational data processing, the essence of which consists in estimation of time invariant vector, are considered. In the framework of Bayesian approach a linear optimal (minimum variance) algorithm is suggested. Such algorithm minimizes the root mean square criterion using linear (relative measurements) estimates. The peculiarities of the algorithm and its interrelation with the algorithm based on linearization are discussed. The efficiency of the proposed algorithm is shown.

The paper develops the mathematical basis and techniques for deriving attitude algorithms, which are tailored to the frequency response of any type of gyros used. The results presented in the paper make it possible the following algorithm design problems to be treated: (1) to estimate attitude vibrational errors when gyros exhibit complex frequency responses; (2) to prove and specify gyros characteristics when developing new SINS; (3) to account for a known gyro function in the derivation of the algorithm coefficients; (4) to clarify and overcome the main practical limitations involved in such an algorithm design. The results of algorithm errors simulation are presented which support the conclusion that problems of algorithm dynamical tuning are of great importance.

Dry friction moments in gimbal axes are among the drift sources of electrically suspended gyroscopes mounted into the gimbal. They result in errors of gimbal servo systems (rotor and housing axis misalignment) and therefore in rotor drifts being also the drift source of such ESG as error torques related to such a misalignment always exist in real gyros.The paper offers a method for autocompensation of the moments acting on ESG mounted into the gimbal. It consists in mounting of optical angular sensor following the rotor position, inclined at a calculated angle, in the gyro housing rotating around its axis. This adds coning motion to the housing rotation.The method does not require any additional mechanical devices. Such a dual autocompensation at the same time modulates the housing moments both related and unrelated to the gyro rotor and housing axis misalignment. Deduction of expression for calculation of rotor and housing axis misalignment angle is given, namely: A > Omega/w, where A is a misalignment angle, Omega - earth rotation rate, w the gyro rate.

Review of various methods for determination of mobile telephone subscriber coordinates in GSM networks is given. Coordinates determination principles are considered, examples of service realization in present GSM networks are given, problems and prospects of such systems development are shown.

Results of using ac electronic motor and hysteresis-reluctance motor in precision gyroscopic devices are compared in relative units with the help of control algorithms designed. It is demonstrated that with comparison in relative units of gyroscopic device drift changes at power supply interruption the results obtained are practically the same for both driving gear types.

In many classes of modern sensors of air and space instrument-making (extrasmall pressure sensors, floated-type and micromechanical gyroscopes and others) methods of thin-film technology are reshaped bridge measuring circuits. The elastic bonding contact pads of these schemes paired to contacts of a body by elastic conductors. These conductors have the composite curvilinear form, and the design of such measuring circuit represents a dynamic oscillating system with distributed parameters. Object of research - developed in Research institute of physical measurements from Penza, firm "Korpus" from Saratov, Central Scientific and Research Institute "Elektropribor" from St. Petersburg and other firms, the sensors of air and space instrument making operating in conditions of vibrational effects, and in designs which one are contained considered dynamic oscillating systems.
The purposes of work are:
1. Construction and research of mathematical models for calculation of natural frequencies (and control by them) curvilinear conductors of sensors of air and space instrument-making.
2. Choice, on the basis of knowledge of natural frequencies, parameters of conductors ensuring in conditions of external vibrations, drift from resonant modes and, there by, allowing to avoid destruction of a measuring circuit of sensors. Mathematical model (1) (28) is constructed, (fig. 1, 2) and algorithms are developed for calculation of natural oscillations frequency of considered dynamic oscillatory system with curvilinear elastic conductors. The supporting software is developed for realization of the constructed mathematical model and algorithms, allowing is automated to solve tasks in view.
On the basis of constructed model (1) (28) and the developed general technique, calculations of natural oscillations frequency of curvilinear gold conductors of a variable and constant curvature (fig. 3, 4 and the table) when the ends of conductors base (fig. 2) on the elastic bases a membrane and pressure seal are made.
The opportunity of the decision of problems of calculation and the analysis of natural oscillations frequency of considered dynamic oscillatory systems as functions of geometrical and physical parameters and characteristics of these systems is shown.
The opportunity of the decision and return problems, for example, problems of a choice of geometrical parameters of the oscillatory system providing set natural oscillations frequency is shown.