Estimation of near asteroids coordinates on CCD-frame

Authors

  • Наталья Сергеевна Соковикова Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166, Ukraine
  • Вадим Евгеньевич Саваневич Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166, Ukraine
  • Михаил Михайлович Безкровный Zaporizhzhya Institute of Economics and Information Technologies Kiyashko str., 16b, 69015, Zaporizhzhya, Ukraine, Ukraine
  • Сергей Васильевич Хламов Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.16338

Keywords:

near-Earth objects, statistically dependent images, assessment of image parameters, asteroids

Abstract

The development of computational methods for highly precise estimation of near-Earth objects coordinates on a sampled image is of current importance nowadays due to a significant increase of penetrating power of optical systems.

In this regard, it becomes much more difficult to achieve the required accuracy of observations of near-Earth objects with statistically dependent images.

The paper proposes a method that allows potentially accurate estimation of coordinates of several near-Earth celestial objects on the CCD-frame.

The developed method is based on the OLS assessment of parameters of statistically dependent objects images.

The optimization problem of minimizing the sum of squared residuals (between theoretical and experimental brightness of the CCD matrix pixels) can be solved by the Levenberg-Marquardt algorithm.

The developed method can be used in the systems of concurrent automatic detection of asteroids, for example, in the program CoLiTec, for estimating the coordinates of several near-Earth statistically dependent objects

Author Biographies

Наталья Сергеевна Соковикова, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166

Graduate student

Department of Electronic computer

Вадим Евгеньевич Саваневич, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166

Professor, Doctor of Engineering 

Department of Electronic computer

Михаил Михайлович Безкровный, Zaporizhzhya Institute of Economics and Information Technologies Kiyashko str., 16b, 69015, Zaporizhzhya, Ukraine

Senior teacher

Department of Computer systems and networks

Сергей Васильевич Хламов, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, 61166

Student

Department of Electronic computer

References

  1. Ericson, J. Asteroids, comets, and meteorites. Cosmic Invaders of the Earth [Текст]/ J. Ericson // New York: Fact on File. – 2003.
  2. IAU Minor Planet Center. Guide to Minor Body Astrometry [Электронный ресурс] — Режим доступа : WWW/ URL http://www.minorplanetcenter.net/iau/info/ Astrometry.html#quality — Загл. с
  3. экрана.
  4. Harris, W. E. A comment on image detection and the definition of limiting magnitude [Текст]/ W. E., Harris // Publications of the Astronomical Society of the Pacific. – 1990. – №102. – рр. 949-953.
  5. Gubanov, V. S. Precision estimate of CCD positional observations [Текст]/ V. S., Gubanov, I. I., Kumkova, E. I., Malakhov // Cinematics and Physics of Celestial Bodies. – 1990. – №6/2. – рр. 83-90.
  6. Kouprianov, V. V. Distinguishing features of CCD astrometry of faint GEO objects [Текст]/ V. V. Kouprianov // Advances in Space Research. – 2008. – Vol. 41, Issue 7. – рр. 1029 – 1038.
  7. Bauer, T. Improving the Accuracy of Position Detection of Point Light Sources on Digital Images [Текст]/ T. Bauer // Proceedings of the IADIS Multiconference, Computer Graphics, Visualization, Computer Vision and Image Processing, Algarve, Portugal. – June 20-22 2009. – рр. 3-15.
  8. Mighell, K. J. Stellar photometry and astrometry with discrete point spread functions [Текст]/ K. J. Mighell // Monthly Notices of Royal Astronomical Society. – 2005. – Vol. 361. – рр. 861 – 878.
  9. Zacharias, N. UCAC3 pixel processing [Текст]/ N. Zacharias // The Astronomical Journal. – 2010. – №139. – рр. 2208–2217.
  10. Veiga, C. H. Astrometric position determination of digitized images of natural satellites [Текст]/ C. H. Veiga, R. Vieira Martins // Astronomy and Astrophysics Supplement Series. – 1995. – v.111. – рр. 387-392.
  11. Izmailov, I. S. Astrometric CCD observations of visual double stars at the Pulkovo Observatory [Текст]/ I. S. Izmailov, M. L. Khovricheva, M. Yu. Khovrichev et al. // Astronomy Letters. – 2010. – Vol. 36, Issue 5 – рр. 349 – 354.
  12. Саваневич, В. Е. Оценка координат астероида на дискретном изображении [Текст]/ В. Е. Саваневич, А. Б. Брюховецкий, А. М. Кожухов, Е. Н. Диков // Радиотехника: Всеукр. межвед. науч.-техн. сб. – 2010. – Вып. 162. – С. 78 – 86.
  13. Алгоритм Левенберга-Марквардта [Электронный ресурс] — Режим доступа: WWW/ URL: http://www.katy.ru/science/LMA.pdf — 8.06.2004г. — Загл. с экрана.
  14. Вавилова, И. Б. Астроинформационный ресурс Украинской виртуальной обсерватории (УкрВО): объединенный архив данных наблюдений, научные задачи и программное обеспечение [Текст]/ И. Б. Вавилова, Л. К. Пакуляк, В. Е. Саваневич и др. // Кинематика и физика небесных тел. – 2012. – т.28. – №2. – С. 59–80.
  15. Саваневич, В.Е. Программа CoLiTec автоматизированного обнаружения небесных тел со слабым блеском [Текст] / В. Е. Саваневич, А. Б. Брюховецкий, А. М. Кожухов, Е. Н. Диков, В. П. Власенко // Космічна наука і технологія. – 2012. – т.18. – №1. – С. 39 – 46.
  16. Ericson, J. (2003). Asteroids, comets, and meteorites. Cosmic Invaders of the Earth. New York: Fact on File.
  17. IAU Minor Planet Center. Guide to Minor Body. Available: http://www.minorplanetcenter.net/iau/info/Astrometry.html#quality.
  18. Harris, W. E. (1990). A comment on image detection and the definition of limiting magnitude. Publications of the Astronomical Society of the Pacific, 102, 949-953.
  19. Gubanov, V. S., Kumkova, I., Malakhov, E. I. ( 1990). Precision estimate of CCD positional observations. Cinematics and Physics of Celestial Bodies, 6/2, 83-90.
  20. Kouprianov, V. V. (2008). Distinguishing features of CCD astrometry of faint GEO, Advances in Space Research, Vol. 41, Issue 7, 1029 – 1038.
  21. Bauer, T. (June 20-22 2009). Improving the Accuracy of Position Detection of Point Light Sources on Digital Images. Proceedings of the IADIS Multiconference, Computer Graphics, Visualization, Computer Vision and Image Processing, Algarve, Portugal, 3-15.
  22. Mighell, K. J. (2005). Stellar photometry and astrometry with discrete point spread functions. Monthly Notices of Royal Astronomical Society, Vol. 361, 861 – 878.
  23. Zacharias, N. (2010). UCAC3 pixel processing. The Astronomical Journal, 139, 2208–2217.
  24. Veiga, C. H., Vieira Martins, R. (1995). Astrometric position determination of digitized images of natural satellites. Astronomy and Astrophysics Supplement Series, 111, 387-392.
  25. Izmailov, I. S., Khovricheva, M. L., Khovrichev, M. Yu. et al. (2010). Astrometric CCD observations of visual double stars at the Pulkovo Observatory. Astronomy Letters, Vol. 36, Issue 5, 349 – 354.
  26. Savanevich, V., Bryukhovetskiy, A., Kozhuhov, A., Dickov, E. (2010). Assessment asteroid coordinates on a digital image. Radio Engineering: All-Ukrainian interagency scientific and technical collection, Issue 162, 78-86.
  27. Ranganathan, A. (2004). Levenberg-Marquardt algorithm. Available: http://www.katy.ru/science/LMA.pdf
  28. Vavilova, I. B., Pakuliak, L. K., Shlyapnikov, A. A., Savanevich, V. E
  29. et al. (2012). Astroinformatic resource of Ukrainian Virtual Observatory (UKRVO): Joint observational data archive, scientific tasks and software. Kinematics and physics of celestial bodies, Vol. 28, Issue 2, 59-80.
  30. Savanevich, V., Bryukhovetskiy, A., Kozhuhov, A., Dickov, E., Vlasenko, V. (2012). The program of automated detection of faint celestial bodies CoLiTec. Space Science and Technology, Vol. 18, Issue 1, 39 - 46.

Published

2013-08-14

How to Cite

Соковикова, Н. С., Саваневич, В. Е., Безкровный, М. М., & Хламов, С. В. (2013). Estimation of near asteroids coordinates on CCD-frame. Eastern-European Journal of Enterprise Technologies, 4(4(64), 41–44. https://doi.org/10.15587/1729-4061.2013.16338

Issue

Section

Mathematics and Cybernetics - applied aspects