UDK 621.396.67
DEFINITIONING TECHNIQUE OF SPATIAL POSITION OF NON-DEFORMING CONSTRUCTION OF SPACECRAFT
M. O. Dorofeev
JSC “Information satellite systems” named after academician M. F. Reshetnev” 52, Lenin str., Jeleznogorsk, Krasnoyarsk region, 662972, Russian Federation E-mail: magsau@mail.ru
Currently, the creation of large antenna systems of radio engineering complexes of spacecraft is urgently needed in the process of space exploration. Large-size antenna systems provide direct access for personal consumers of civil and military departments to the resources of spacecraft, passing land operators. The large-size Transformed Antennas (LSTA) allow to create a powerful energy potential of radio lines, it is essential to reduce the sizes and costs of subscriber terminals. In the field of civil application the large-size transformed reflectors will provide direct access to the market of broadband mobile services and creation of space systems of personal and mobile communication. Considering high costs of creation of systems of space communication, its double application in interests of military and civil consumers is possible. When using as a part of the spacecraft of the large LSTA there is a problem of maintenance of the demanded geometry of antenna constructions (a reflector and an irradiator). LSTA needs in periodic adjustment of its geometrical parameters. Geometrical parameters are positions of coordinate system of antenna constructions in some basic coordinate system of spacecraft. For carrying out adjustment of geometrical parameters it is necessary to define them by the operating organs. Determination of geometrical parameters of the antenna is carried out due to measurement of coordinates controlled points of a construction surface. Measurement of coordinates of control points is carried out on reflecting elements, located on antenna designs. In this regard the structure of monitoring systems of geometrical parameters LSTA with the short description of components and their basic purpose is given. The technique of definition of spatial position of non-deforming object on the spacecraft by means of one device measuring rotary is developed. As non-deforming object the irradiator of large-size antenna is considered. The technique is based on the theorem of cosines and knowledge of distances between controlled points of object measurement. At the description of a technique the minimum quantity of reflecting elements equal was considered we rub. Newton-Rafson's method is applied to the decision of the system of the equations given in algorithm of a technique. The quantity of the equations in system is defined by quantity of reflecting elements. The developed technique has rather simple mathematics and realization of algorithm. A mathematical description is presented and the results of the analysis of errors in calculations are described. Besides, applicability of the developed technique and its flexibility are described at change quantity of controllable points.
definition of spatial provision of object, onboard complex of control, large-size transformed antenna, reflector of antenna, position definition technique.
References
  1. Otdel SM1-1 Krupnogabaritnye kosmicheskie konstruktsii [Department of SM1-1 the large-size space designs]. Available at: http://niism.bmstu.ru/ otdelyi-nii-sm/sm1-1 (accessed 08.04.2015).

  2. Zabolotskiy L. V. Krupnogabaritny kosmicheskiy skladnoy reflektor [Large-size space folding reflector]. Patent RF, no. 2101811. 1998.

  3. Modelirovanie sistem gravitatsionnogo uravnoveshivaniya krupnogabaritnykh transformiruemykh konstruktsiy kosmicheskoy tekhniki [Modeling of systems of a gravitational equilibration of the large-size transformed designs of space equipment]. Available at: http://cosmos.basnet.by/uiip_114.html (accessed 11.04.2015).

  4. Usmanov D. B. Modelirovanie napryazhenno-deformirovannogo sostoyaniya krupnogabaritnogo transformiruemogo reflektora. Dis. kand. fiz.-mat. nauk [Modeling of the intense deformed condition of the large-size transformed reflector. Can. techn. sci. diss]. Tomsk, Tomsk State University Publ., 2006, 179 p.

  5. Kirchin Yu. G. Razrabotka i issledovanie optiko-elektronnykh sistem dlya kontrolya smeshcheniy. Dis. cand. tehn. nauk [Development and research of optical-electronic systems for control of shifts. Can. techn. sci. diss]. St.Petersburg, SPbGITMO Publ., 1993, 193 p.

  6. Albota Marius A., Brian F. Aull, Daniel G. Fouche and other. Three-Dimensional Imaging Laser Radars with Geiger-Mode Avalanche Photodiode Arrays. Lincoln Laboratory Journal. 2002, Vol. 13, No. 2, P. 351–370.

  7. Formirovanie svetovogo shablona krupnogabaritnykh ob"ektov metodami difraktsionnoy optiki [Formation of a light template of large-size objects by methods of diffraction optics]. Available at: http://www.computeroptics.smr.ru/KO/PDF/KO37-4/ 370403.pdf (accessed 03.04.2015).

  8. Dorofeev M. O., Bikeev E. V., Matylenko M. G., Titov G. P., Ris D. V. [The choice of instrument systems define the geometry of the large antenna transformed] Мaterialy XV Mezhdunar. nauch. konf. “Reshetnevskie chteniya” [Materials XV Intern. Scientific. Conf “Reshetnev readings”]. Krasnoyarsk, 2011, P. 98–99 (In Russ.).

  9. Demkin V. N. Lazernye metody i sredstva izmereniya geometrii poverkhnostey slozhnoy formy. Dis. cand. tehn. nauk [Laser methods and instruments for measuring the geometry of the surfaces of complex shape. Dr. techn. sci. diss]. Мoscow, NII “Polyus” Publ., 2004, 247 p.

  10. Dorofeev M. O., Bikeev E. V. [Methods of determining the relative position of two objects] Razrabotka, proizvodstvo, ispytaniya i ekspluatatsiya kosmicheskikh apparatov i sistem. Materialy nauchno-tekhnicheskoy konferentsii molodykh spetsialistov OAO “Informatsionnye sputnikovye sistemy» imeni akademika M. F. Reshetneva”, posvyashchennoy 50 letiyu poleta v kosmos Yu. A. Gagarina. Zheleznorogrsk [Development, manufacture, testing and operation of spacecraft and systems. Proceedings of the scientific-technical conference of young specialists of JSC “Information Satellite Systems” named after academician MF Reshetnev” dedicated to the 50th anniversary of the space flight of Yuri Gagarin]. Ed. N. A. Testoedov. Zheleznogorsk, 2011, P. 233‑234 (In Russ.).

  11. Aleksandrov P. S. Lektsii po analiticheskoy geometrii [Lectures on analytical geometry]. Moscow, Nauka Publ, 1968, 176 p.

  12. Foks A., Pratt M. Vychislitel'naya geometriya. Primenenie v proektirovanie i na proizvodstve: perevod s angliyskogo [Computing geometry. Application in designing and on manufacture: the transfer with English]. Moscow, Mir Publ., 1982. 304 p.

  13. Zolotykh N. Yu. Ispol'zovanie paketa Matlab v nauchnoy i uchebnoy rabote: Uchebno-metodicheskie materialy po programme povysheniya klassifikatsii “Informatsionnye tekhnologii i komp'yuternaya matematika” [Use of a Matlab package in scientific and study: Educational and methodical materials according to the program of increase of classification “Information technologies and computer mathematics”]. Nizhny Novgorod, 2006, 165 p.

  14. Zarubin V. S., Krishchenko A. P. Matematicheskoe modelirovanie v tekhnike: uchebnik dlya vuzov [Mathematical modeling in engineering: a textbook for high schools]. Moscow, Izd‑vo MGTU im. N. E. Baumana Publ., 2001, 496 p.

  15. Strogalev V. P., Tolkacheva I. O. Imitatsionnoe modelirovanie [Imitating modeling]. Moscow, Izd‑vo MGTU im. N. E. Baumana Publ., 2008, 280 p.


Dorofeev Maxim Olegovich – chief of group 9358 of general design, tests and operation of onboard complex control of reflector’s position and form of department 935 design and test of systems of orientation and stabilization of spacecraft, JSC “Information Satellite System” named after academician M. F. Reshetnev”. E-mail: magsau@mail.ru