Spectrol properties of symplectic integrators for problem on motion of a free rigid body

• Published in: Механика твердого тела
• Date: 2003
• Main Author: Khlistunova, N.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/123732
• 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.

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...