Spectrol properties of symplectic integrators for problem on motion of a free rigid body
In this paper a new approach useful for numerical integration of the motion equations for a free rigid body with a fixed point is studied. The approach employs symplectic integration schemes of the second and third order. These schemes are presented as a sequence of rotations with two frequencies pe...
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| Published in: | Механика твердого тела |
|---|---|
| Date: | 2003 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/123732 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectrol properties of symplectic integrators for problem on motion of a free rigid body / N.V. Khlistunova // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 190-199. — Бібліогр.: 9 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748103222755328 |
|---|---|
| author | Khlistunova, N.V. |
| author_facet | Khlistunova, N.V. |
| citation_txt | Spectrol properties of symplectic integrators for problem on motion of a free rigid body / N.V. Khlistunova // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 190-199. — Бібліогр.: 9 назв. — рос. |
| collection | DSpace DC |
| container_title | Механика твердого тела |
| description | In this paper a new approach useful for numerical integration of the motion equations for a free rigid body with a fixed point is studied. The approach employs symplectic integration schemes of the second and third order. These schemes are presented as a sequence of rotations with two frequencies per each integration step. Roth schemes are implemented and tested against Runge-Kutta-Fehlberg fifth order method, the represented computational results are satisfactory.
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| first_indexed | 2025-12-07T20:54:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-123732 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-1975 |
| language | English |
| last_indexed | 2025-12-07T20:54:06Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Khlistunova, N.V. 2017-09-09T06:19:43Z 2017-09-09T06:19:43Z 2003 Spectrol properties of symplectic integrators for problem on motion of a free rigid body / N.V. Khlistunova // Механика твердого тела: Межвед. сб. науч. тр. — 2002. — Вип. 32. — С. 190-199. — Бібліогр.: 9 назв. — рос. 0321-1975 https://nasplib.isofts.kiev.ua/handle/123456789/123732 531.38 In this paper a new approach useful for numerical integration of the motion equations for a free rigid body with a fixed point is studied. The approach employs symplectic integration schemes of the second and third order. These schemes are presented as a sequence of rotations with two frequencies per each integration step. Roth schemes are implemented and tested against Runge-Kutta-Fehlberg fifth order method, the represented computational results are satisfactory. en Інститут прикладної математики і механіки НАН України Механика твердого тела Spectrol properties of symplectic integrators for problem on motion of a free rigid body Article published earlier |
| spellingShingle | Spectrol properties of symplectic integrators for problem on motion of a free rigid body Khlistunova, N.V. |
| title | Spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| title_full | Spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| title_fullStr | Spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| title_full_unstemmed | Spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| title_short | Spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| title_sort | spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/123732 |
| work_keys_str_mv | AT khlistunovanv spectrolpropertiesofsymplecticintegratorsforproblemonmotionofafreerigidbody |