title: On distances between orbits of planets and asteroids
metadata.name: dc.contributor.author
metadata.value: Kholshevnikov, Konstantin V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shchepalova, Anastasiia S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-09-18T11:59:15Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-09-18T11:59:15Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kholshevnikov K.V., Shchepalova A. S. On distances between orbits of planets and asteroids. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 3, pp. 509–523.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.314
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/14893
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In various astronomical problems it is required to estimate a proximity of celestial bodies
  orbits. It can serve as a criterion of a common origin (usually of a parent body fragmentation).
  Several submetrics were proposed for this goal in the latter half of the 20th century.
  We call submetric a function defined for each pair of Keplerian orbits, and satisfying the
  first two axioms of metric space, but not obligatory the third, triangle axiom. It was shown
  during the last decade that for each of the proposed submetrics one can indicate an open set
  of orbital pairs for which this key axiom violates. Recently new metrics were constructed
  satisfying all axiom of mertric space, as well as induced by them metrics in widespread
  in celestial mechanics factor-spaces of the space of non-rectilinear Keplerian orbits. In the
  present paper we extended to examine properties of considered submetrics and metrics;
  calculated corresponding subdistances and distances between planetary orbits in the Solar
  System; calculated distances between all pairs of orbits of numbered asteroids (in the space
  of orbits, as well as in its three subspaces); calculated distances between the orbit of the
  Chelyabinsk body and orbits of all numbered asteroids.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена с использованием оборудования Вычислительного центра Научного парка СПбГУ при финансовой поддержке РНФ (грант 18-12-00050).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: metrics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Keplerian orbit
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asteroid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: distance between orbits
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On distances between orbits of planets and asteroids
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-Kholshevnikov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/14893/1/14-Kholshevnikov.pdf
resources.format: Adobe PDF
resources.size: 341,8 kB