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.
| Main Author: | |
|---|---|
| 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 |
| id |
doaj-94c41b9e42c6473ab18a6d4c6b86c61f |
|---|---|
| record_format |
Article |
| spelling |
doaj-94c41b9e42c6473ab18a6d4c6b86c61f2020-11-25T01:30:21ZrusInstitute 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 |
| collection |
DOAJ |
| language |
Russian |
| format |
Article |
| sources |
DOAJ |
| author |
Gennadii Nikolaevich Yakovenko |
| 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 |
| author_facet |
Gennadii Nikolaevich Yakovenko |
| author_sort |
Gennadii Nikolaevich Yakovenko |
| title |
Orbits in the two-body problem in terms of symmetries |
| title_short |
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_sort |
orbits in the two-body problem in terms of symmetries |
| publisher |
Institute of Computer Science |
| series |
Компьютерные исследования и моделирование |
| issn |
2076-7633 2077-6853 |
| publishDate |
2011-03-01 |
| 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. |
| 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 |
| _version_ |
1725091905404928000 |