Identifying celestial bodies of common origin using metric approach

Authors

  • Kokhirova G.I. Institute of Astrophysics, Academy of Sciences of Tajikistan, Dushanbe, Tajikistan
  • Kholshevnikov K.V. Saint Petersburg State University, Saint-Petersburg, Russian Federation
  • Babadzhanov P.B. Institute of Astrophysics, Academy of Sciences of Tajikistan, Dushanbe, Tajikistan
  • Khamroev U.Kh. Institute of Astrophysics, Academy of Sciences of Tajikistan, Dushanbe, Tajikistan
  • Milanov D.V. Saint Petersburg State University, Saint-Petersburg, Russian Federation

UDC

521.11

Abstract

Finding a common origin for various celestial bodies, especially the relations between meteoroid streams, comets and asteroids (possibly extinct comets) remains one of the important problems in the Solar System astronomy. Different criteria, starting with one by Southworth and Hawkins, have been used for this purpose. Unfortunately, they do not satisfy axioms of metric space, in particular the triangle axiom. Besides, they are inapplicable if at least one of the orbits is circular. Recently we proposed metrics free of all these drawbacks. In the present paper the traditional criteria are applied, as well as new metrics, to the problem of searching for minor bodies of the Solar System with a common origin. The focus is on the asteroid-meteoroid complex σ-Capricornids (Adonis family). Our investigations confirm genetic relations of objects of the complex, and allow us to determine a moment of the maximal similarity of their orbits. Most probably at this moment a break-up of the nucleus of a comet-progenitor of the complex occurs. Besides, we examine several NEA supposingly connected with the σ-Capricornids complex. It was established that besides the meteoroid stream itself at least 5 NEO of a comet nature: (2101) Adonis, 1995CS, 2008BO16, 2011EC41, 2013CN36 enter the complex.

Keywords:

metric space, space of Keplerian orbits, asteroid, comet, evolution, common origin

Author Infos

Gulchekhra I. Kokhirova

д-р физ.-мат. наук, член-корреспондент АН Республики Таджикистан, директор Института астрофизики АН Республики Таджикистан, ведущий научный сотрудник отдела межпланетных тел Института астрофизики АН Республики Таджикистан

e-mail: kokhirova2004@mail.ru

Konstantin V. Kholshevnikov

д-р физ.-мат. наук, профессор, заведующий кафедрой небесной механики Санкт-Петербургского государственного университета

e-mail: kvk@astro.spbu.ru

Pulat B. Babadzhanov

д-р физ.-мат. наук, академик АН Республики Таджикистан, заведующий отделом межпланетных тел Института астрофизики АН Республики Таджикистан

e-mail: p.b.babadzhanov@mail.ru

Umeddzhon Kh. Khamroev

научный сотрудник отдела межпланетных тел Института астрофизики АН Республики Таджикистан

e-mail: Umed-1982@mail.ru

Danila V. Milanov

аспирант кафедры небесной механики Санкт-Петербургского государственного университета

e-mail: danila.milanov@gmail.com

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Issue

2017. No. 4. Part 2

Pages

67-78

Submitted

2017-10-27

Published

2017-12-28

How to Cite

Kokhirova G.I., Kholshevnikov K.V., Babadzhanov P.B., Khamroev U.Kh., Milanov D.V. Identifying celestial bodies of common origin using metric approach. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 4, pp. 67-78. (In Russian)

Copyright (c) 2017 Kokhirova G.I., Kholshevnikov K.V., Babadzhanov P.B., Khamroev U.Kh., Milanov D.V.

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