| A Survey of Newtonian Core-Shell Systems with Pseudo High Order Symplectic Integrator and Fast Lyapunov Indicator |
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| 引用本文： | Jun-Fang Zhu Xin Wu Da-Zhu Ma. A Survey of Newtonian Core-Shell Systems with Pseudo High Order Symplectic Integrator and Fast Lyapunov Indicator[J]. 中国天文和天体物理学报, 2007, 7(4): 601-610 |
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| 作者姓名： | Jun-Fang Zhu Xin Wu Da-Zhu Ma |
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| 作者单位： | Department of Physics, Nanchang University, Nanchang 330031 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金 |
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| 摘 要： | Newtonian core-shell systems, as limiting cases of relativistic core-shell models under the two conditions of weak field and slow motion, could account for massive circumstellar dust shells and rings around certain types of star remnants. Because this kind of systems have Hamiltonians that can be split into a main part and a small perturbing part, a good choice of the numerical tool is the pseudo 8th order symplectic integrator of Laskar ＆ Robutel, and, to match the symplectic calculations, a good choice of chaos indicator is the fast Lyapunov indicator （FLI） with two nearby trajectories proposed by Wu, Huang ＆ Zhang. Numerical results show that the FLI is very powerful when describing not only the transition from regular motion to chaos but also the global structure of the phase space of the system.
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| 关 键 词： | celestial mechanics — chaos — methods: numerical |
| 修稿时间： | 2006-12-22 |
A Survey of Newtonian Core-Shell Systems with Pseudo High Order Symplectic Integrator and Fast Lyapunov Indicator |
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| Jun-Fang Zhu,Xin Wu,Da-Zhu Ma. A Survey of Newtonian Core-Shell Systems with Pseudo High Order Symplectic Integrator and Fast Lyapunov Indicator[J]. Chinese Journal of Astronomy and Astrophysics, 2007, 7(4): 601-610 |
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| Authors: | Jun-Fang Zhu Xin Wu Da-Zhu Ma |
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| Abstract: | |
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| Keywords: | celestial mechanics - chaos - methods: numerical |
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