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.
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Format: | Article |
Language: | Russian |
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Institute of Computer Science
2011-03-01
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Series: | Компьютерные исследования и моделирование |
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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 |
format | Article |
id | doaj.art-94c41b9e42c6473ab18a6d4c6b86c61f |
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 |