Method for calculating the intersection points of meteor stream orbits with a plane

Authors

  • Станислав Игоревич Борбулев Kharkiv, Melnykova str., 2, Ukraine
  • Юрий Иванович Волощук Kharkiv National University of Radio Electronics Lenina 16, Kharkov, Ukraine, 61166, Ukraine
  • Юрий Васильевич Черкас Kharkiv National University of Radio Electronics Lenina 16, Kharkov, Ukraine, 61166, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.16339

Keywords:

orbits intersections, meteor streams, penalty functions, D-criterion, distance, orbit, meteor

Abstract

Current functions of orbit elements distance in space (Dsh− Sutvort’s and Hawkins’s criterion, Dr−Drumond’s criterion, etc.), despite the same goal, can give significantly different distance parameters for one and the same range of input parameters, and even for one of the same pair of orbits.

In general, each of the existing D-criteria is acceptable for determining the distance between orbits only in certain areas of possible orbits.

The research describes a method and algorithm for calculating the intersection points of meteor orbits with a plane, perpendicular to the mean orbit of meteor stream at a given angle of true anomaly.

The position of these intersections in characteristic points of the mean orbit allows investigating the fine structure of a meteor stream and checking the stream allocation quality using the D-criteria. This method will help to resolve controversial situations, when different D-criteria provide substantially different distance parameters for the same orbits.

Author Biographies

Станислав Игоревич Борбулев, Kharkiv, Melnykova str., 2

General director of LLC “Apmer”

Юрий Иванович Волощук, Kharkiv National University of Radio Electronics Lenina 16, Kharkov, Ukraine, 61166

Professor

Department of Communication network

Юрий Васильевич Черкас, Kharkiv National University of Radio Electronics Lenina 16, Kharkov, Ukraine, 61166

Postgraduate student

Department of Communication network

References

  1. Southworth, R.D. Statistics of Neteor Streams [Text] / R.D. Southworth, G.S. Hawkins // Smithson. Contribs. Astrophys. – 1963. – №7. – pp. 261-285.
  2. Волощук, Ю. И. Метеорный комплекс вблизи орбиты Земли: спорадический фон, потоки, ассоциации. I. Методика выделения потоков и ассоциаций из выборки орбит индивидуальных метеоров большого объема [Текст] / Ю. И. Волощук, Б. Л. Кащеев, В. А. Подоляка // Астрон. вестн. – 1995. – Т. 29, №5. – С. 439-449.
  3. Secanina, Z. Model of Meteor Streams. IV. A Study of Radio Streams from the Synoptic Year [Text] / Z. Secanina // Icarus. – 1976. – V. 27. – pp. 265-321.
  4. Волощук, Ю. И. Методика расчета средних орбит метеорных потоков [Текст] / Ю. И. Волощук, Б. Л. Кащеев // Астрон. вестн. – 1999. – Т. 33, №4. – С. 345-359.
  5. Волощук, Ю. И. Метеорный комплекс вблизи орбиты Земли: спорадический фон, потоки, ассоциации. 2. Сравнительный анализ некоторых статистических характеристик потоковых и спорадических метеорных тел [Текст] / Ю. И. Волощук, Б. Л. Кащеев // Астрон. вестн. – 1996. – Т. 30, №6. – С. 541-560.
  6. Волощук, Ю. И. Метеорный комплекс вблизи орбиты Земли: спорадический фон, потоки, ассоциации. 3. Источники потоковых и спорадических метеорных тел [Текст] / Ю. И. Волощук, А. В. Воргуль, Б. Л. Кащеев // Астрон. вестн. – 1997. – Т. 31, №4. – С. 345-369.
  7. Волощук, Ю. И. Метеорные потоки и ассоциации, выявленные по результатам многолетних радиолокационных наблюдений метеоров в Харькове [Текст] / Ю. И. Волощук, Д. Ю. Горелов // Харьков: Изд-во «НТМТ», 2011. – 383с.
  8. Айвазян, С. А. Прикладная статистика: Классификация и снижение размерности [Текст] / С. А. Айвазян, В. М. Бухштабер, И. С. Енюков, Л. Д. Мешалкин // М.: Финансы и статистика, 1989. – 607 с.
  9. Загоруйко, Н. Г. Методы распознавания и их применение [Текст] / Н. Г. Загоруйко // М.: Сов. радио, 1972. – 206 с.
  10. Батьківські тіла метеорних потоків і оцінка їх зустрічі із Землую [Текст]: звіт про НДР №117 (закл.) / ХНУРЕ; керівн. Ю. І. Волощук; викон.: А. В. Воргуль, С. В. Коломієць, С. І. Борбульов, Є. П. Павленко. – Харків, 2002. – 118 с. – Інв. № 0100U001338.
  11. Southworth, R. D., Hawkins, G. S. (1963). Statistics of Neteor Streams. Smithson. Contribs. Astrophys., №7. 261-285.
  12. Voloshchuk, Yu. I., Kashckeev, B. L., Podolyaka, V. A. (1995). Meteor complex near Earth’s orbit: sporadic background, streams, associations. II. Technique of streams and associations’ detection from large sample of individual meteors’ orbits. Astron. Vestn., V.29, №5, 439-449.
  13. Secanina, Z. (1976). Model of Meteor Streams. IV. A Study of Radio Streams from the Synoptic Year. Icarus, V. 27, 265-321.
  14. Voloshchuk, Yu. I., Kashckeev, B. L. (1999). Technique of mean orbits’ calculation. Astron. Vestn., V. 33, №4, 345-359.
  15. Voloshchuk, Yu. I., Kashckeev, B. L. (1996). Meteor complex near Earth’s orbit: sporadic background, streams, associations. I. Comparative analysis of some statistical characteristics of stream and sporadic meteoroids, Astron. Vestn., V. 30, №6, 541-560.
  16. Voloshchuk, Yu. I, Vorgul, A. I., Kashcheev, B. L. (1997). Meteor complex near Earth’s orbit: sporadic background, streams, associations. III. Sources of stream and sporadic meteoroids. Astron. Vestn., V. 31, №4, 345-369.
  17. Voloshchuk, Yu.I., Gorelov, D.Yu. (2011). Meteor streams and associations detected by long-term radar observations of meteors in Kharkiv. Kharkiv: NTMT, 383.
  18. Aivazyan, S. A, Buchstaber, V. M., Yenyukov, I. S., Meshalkin, L. D. (1989). Applied statistics: classification and reduction of dimensionality. M.: Finansy i statistika, 607.
  19. Zagoruiko, N. G. (1972). Detection methods and their application. M.: Sov. Radio, 206.
  20. Voloshchuk, Yu. I, Vorgul, A. I., Kolomiyets, S. V., Borbulev, S. I., Pavlenko, Ye. P. (2002). Meteor streams parent bodies and estimation of their approach to the Earth. Kharkiv: KNURE, report of research № 0100U001338, 118.

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Published

2013-08-14

How to Cite

Борбулев, С. И., Волощук, Ю. И., & Черкас, Ю. В. (2013). Method for calculating the intersection points of meteor stream orbits with a plane. Eastern-European Journal of Enterprise Technologies, 4(4(64), 45–49. https://doi.org/10.15587/1729-4061.2013.16339

Issue

Vol. 4 No. 4(64) (2013): Mathematics and cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2014 Станислав Игоревич Борбулев, Юрий Иванович Волощук, Юрий Васильевич Черкас

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