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...
Збережено в:
| Дата: | 2003 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Механика твердого тела |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/123732 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-123732 |
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dspace |
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irk-123456789-1237322017-09-10T03:03:32Z Spectrol properties of symplectic integrators for problem on motion of a free rigid body Khlistunova, N.V. 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. 2003 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/123732 531.38 en Механика твердого тела Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Khlistunova, N.V. |
| spellingShingle |
Khlistunova, N.V. Spectrol properties of symplectic integrators for problem on motion of a free rigid body Механика твердого тела |
| author_facet |
Khlistunova, N.V. |
| author_sort |
Khlistunova, N.V. |
| title |
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_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_sort |
spectrol properties of symplectic integrators for problem on motion of a free rigid body |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/123732 |
| 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. |
| series |
Механика твердого тела |
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2023-10-18T20:44:49Z |
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2023-10-18T20:44:49Z |
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1796151002397671424 |