Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 629.76/78.001.63
MATHEMATICAL METHODS USED TO ASSESS THE POSITION AND FORM ACCURACY OF A LARGE-SIZED SPACECRAFT REFLECTOR
N. N. Goldobin
JSC “Information satellite systems” named after academician M. F. Reshetnev” 52, Lenin str., Jeleznogorsk, Krasnoyarsk region, 662972, Russian Federation E-mail: dirtykola@rambler.ru
The article considers some mathematical methods used to assess the position accuracy as well as the form accuracy of a reflecting surface of a large-sized spacecraft reflector. The basic points and examples of each method are given. The following mathematical methods: using a kinematic scheme boom-reflector; the method for selecting the control points of the reflecting surface; the method of determining the RMS of reflecting surface; the method of determining the best fit paraboloid are developed by the author of the article.
spacecraft, reflecting surface, reflector, paraboloid, Levenberg–Marquardt method, Newton method.
References

1. Tibert G. Deployable tensegrity structures for space applications. Doctoral thesis. Stockholm: Royal Institute of Technology, 2002. Available at: http://www.mech. kth.se/thesis/2002/phd/phd_2002_gunnar_tibert.pdf. (accessed 05.02.2014)

2. Harada S., Meguro A., Watanabe M. A High Preci-sion Surface Shape Design for Large Deployable Mesh Antenna: meeting paper AIAA 2003-1497 of 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Norfolk, VA, 2003. Access via AIAA Electronic Library. Available at: http://www.aiaa.org. (accessed 03.03.2014)

3. Goldobin N. N. [Objectives of the assessment methodology forms of the radar-reflection surface of lthe arge transformable spacecraft using the Levenberg-Marquardt]. Trudi V obsherossiyskoy naychno-prakticheskoy konferentsii “Innovatsionnye tekhnologii I tekhnicheskie sredstva spetsialnogo naznacheniya” [Proc. V obscheros. scientific-practical. conf. “Innovative tech-nologies and facilities for special purposes”]. St. Petersburg, 2012, p. 93–98. (In Russ.)

4. Marquardt D. An algorithm for Least-Squares Es-timation of the Nonlinear Parameters. SIAM Journal on Applied Mathematics. Vol. 11 (2), 1963, p. 431–441.

5. Goldobin N. N. [The estimation of the form of a large-sized transformed radar-reflection for a spacecraft]. Vestnik SibGAU, 2013, vol. 47, no. 1, p. 106–111. (In Russ.)

6. Goldobin N. N., Shendalv D. O. [Mathematical methods used to assess the position and form accuracy of a large-sized spacecraft reflector]. Materiali XVII Mezhdynarodnoy naychnoy conferentsii “Reshetnevskie chteniya” [Proceedings of the XVII Intern. scientific. conf. “Reshetnev reading”]. Krasnoyarsk, 2013, p. 65–66. (In Russ.)


Goldobin Nikolay Nikolayevich – graduate student, Siberian State Aerospace University named after academician M. F. Reshetnev; Engineer 2nd category, JSC “Information Satellite System” named after academician M. F. Reshetnev”. E-mail: goldobin@iss-reshetnev.ru.