Vol. 14, no.2, 2022


Mathematical model for spacecrafts identification

Igor L. Afonin, Alexander L. Polyakov, Yury N. Tyschuk, Vladislav V. Golovin, Gennady V. Slezkin

Sevastopol State University, http://www.sevsu.ru/
Sevastopol 299053, Russian Federation
E-mail: ilafonin@sevsu.ru, alpolyakov@sevsu.ru, yntyshchuk@sevsu.ru, vvgolovin@sevsu.ru, gvslezkin@sevsu.ru

Received February 08, 2022, peer-reviewed February 15, 2022, accepted February 22, 2022

Abstract: Proposed below is a mathematical model for reception and processing of spurious (“uncontrolled” radiation) from constantly operating units of the special complex installed onboard a spacecraft. This model makes it possible to implement a new technique for identification of such radiation thus improving the capabilities of the space monitoring. At the same time creation of stand-alone radio systems solely for identification of the spacecrafts based on the proposed mathematic model would require significant expenses therefore it is worthwhile to add new identification hardware to the existing ground-based radio systems used for space flight control. Identifying features in the proposed mathematical model are the parameters of signals of the uncontrolled radiation from constantly operating units installed onboard spacecrafts that “leak” through antenna systems (master generators, heterodyne oscillators in the spacecraft radio receivers). Identification of spacecrafts by uncontrolled radiation from the receiving master generators and heterodyne oscillators involves keeping track of the behavior of oscillation parameters as well as identifying signs that distinguish the oscillations of one generator from another. Since the uncontrolled radiation from heterodyne oscillators is a harmonic oscillation, it features such parameters as amplitude, frequency and initial phase. It is impossible to use the amplitude and initial phase of the signal for identification purposes because the propagation medium strongly affects these parameters. The most informative for identification purposes is the frequency of oscillations, or rather, the behavior of the frequency changes over time. These changes are due to the frequency instability of the onboard master generators. The behavior of the frequency change depends on the characteristics of each onboard generator, which serves as a basis for identification. It should be noted that the identification process can be conditionally divided into two stages: the first stage includes validation of models and processing (evaluation) algorithms while the second stage involves classification of the results of processing (evaluation).

Keywords: identification, spacecraft, radio engineering system, space control, uncontrolled radiation, effective antenna area

UDC 629.7.086

RENSIT, 2022, 14(2):111-118e DOI: 10.17725/rensit.2022.14.111.

Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/444/14(2)111-118e.pdf