Orbits in the two-body problem in terms of symmetries

For the two-body problem computed 12-parameter group symmetry transformations which translate the obvious solution - uniform motion of bodies in circular orbits with a common fixed center - a motion with arbitrary initial data.

Bibliographic Details
Main Author: Gennadii Nikolaevich Yakovenko
Format: Article
Language:Russian
Published: Institute of Computer Science 2011-03-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2011_1/11103.pdf
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author Gennadii Nikolaevich Yakovenko
author_facet Gennadii Nikolaevich Yakovenko
author_sort Gennadii Nikolaevich Yakovenko
collection DOAJ
description For the two-body problem computed 12-parameter group symmetry transformations which translate the obvious solution - uniform motion of bodies in circular orbits with a common fixed center - a motion with arbitrary initial data.
first_indexed 2024-12-19T09:01:17Z
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institution Directory Open Access Journal
issn 2076-7633
2077-6853
language Russian
last_indexed 2024-12-19T09:01:17Z
publishDate 2011-03-01
publisher Institute of Computer Science
record_format Article
series Компьютерные исследования и моделирование
spelling doaj.art-94c41b9e42c6473ab18a6d4c6b86c61f2022-12-21T20:28:29ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532011-03-0131394510.20537/2076-7633-2011-3-1-39-451755Orbits in the two-body problem in terms of symmetriesGennadii Nikolaevich YakovenkoFor the two-body problem computed 12-parameter group symmetry transformations which translate the obvious solution - uniform motion of bodies in circular orbits with a common fixed center - a motion with arbitrary initial data.http://crm.ics.org.ru/uploads/crmissues/crm_2011_1/11103.pdftwo-body problema symmetry transformationelliptical orbitthe parabolic orbithyperbolic orbit
spellingShingle Gennadii Nikolaevich Yakovenko
Orbits in the two-body problem in terms of symmetries
Компьютерные исследования и моделирование
two-body problem
a symmetry transformation
elliptical orbit
the parabolic orbit
hyperbolic orbit
title Orbits in the two-body problem in terms of symmetries
title_full Orbits in the two-body problem in terms of symmetries
title_fullStr Orbits in the two-body problem in terms of symmetries
title_full_unstemmed Orbits in the two-body problem in terms of symmetries
title_short Orbits in the two-body problem in terms of symmetries
title_sort orbits in the two body problem in terms of symmetries
topic two-body problem
a symmetry transformation
elliptical orbit
the parabolic orbit
hyperbolic orbit
url http://crm.ics.org.ru/uploads/crmissues/crm_2011_1/11103.pdf
work_keys_str_mv AT gennadiinikolaevichyakovenko orbitsinthetwobodyproblemintermsofsymmetries