Several fourth-order force gradient symplectic algorithms

• 作 者: Jia Xu Xin Wu
• 机 构: DepartmentofPhysics
• 出 处: 天文和天体物理学研究：英文版
• 发表日期: 2010年2期
• 关键词: 梯度算法 四阶 哈密顿系统 哈密顿分解 计算精度 相对位置 轨道运动 N体问题 celestial mechanics -- methods： numerica
• 基金项目: Supported by the National Natural Science Foundation of China.Acknowledgements We would like to thank the anonymous referee for significant suggestions. This research is supported by the National Natu

By adding force gradient operators to symmetric compositions, we build a set of explicit fourth-order force gradient symplectic algorithms, including those of Chin and coworkers, for a separable Hamiltonian system with quadratic kinetic energy T and poten