Estimation of near asteroids coordinates on CCD-frame
DOI:
https://doi.org/10.15587/1729-4061.2013.16338Keywords:
near-Earth objects, statistically dependent images, assessment of image parameters, asteroidsAbstract
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
References
- Ericson, J. Asteroids, comets, and meteorites. Cosmic Invaders of the Earth [Текст]/ J. Ericson // New York: Fact on File. – 2003.
- 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
- экрана.
- 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.
- 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.
- 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.
- 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.
- 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.
- Zacharias, N. UCAC3 pixel processing [Текст]/ N. Zacharias // The Astronomical Journal. – 2010. – №139. – рр. 2208–2217.
- 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.
- 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.
- 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.
- Алгоритм Левенберга-Марквардта [Электронный ресурс] — Режим доступа: WWW/ URL: http://www.katy.ru/science/LMA.pdf — 8.06.2004г. — Загл. с экрана.
- 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.
- 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.
- Ericson, J. (2003). Asteroids, comets, and meteorites. Cosmic Invaders of the Earth. New York: Fact on File.
- IAU Minor Planet Center. Guide to Minor Body. Available: http://www.minorplanetcenter.net/iau/info/Astrometry.html#quality.
- 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.
- 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.
- Kouprianov, V. V. (2008). Distinguishing features of CCD astrometry of faint GEO, Advances in Space Research, Vol. 41, Issue 7, 1029 – 1038.
- 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.
- Mighell, K. J. (2005). Stellar photometry and astrometry with discrete point spread functions. Monthly Notices of Royal Astronomical Society, Vol. 361, 861 – 878.
- Zacharias, N. (2010). UCAC3 pixel processing. The Astronomical Journal, 139, 2208–2217.
- Veiga, C. H., Vieira Martins, R. (1995). Astrometric position determination of digitized images of natural satellites. Astronomy and Astrophysics Supplement Series, 111, 387-392.
- 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.
- 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.
- Ranganathan, A. (2004). Levenberg-Marquardt algorithm. Available: http://www.katy.ru/science/LMA.pdf
- Vavilova, I. B., Pakuliak, L. K., Shlyapnikov, A. A., Savanevich, V. E
- 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.
- 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.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Наталья Сергеевна Соковикова, Вадим Евгеньевич Саваневич, Михаил Михайлович Безкровный, Сергей Васильевич Хламов
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.