| Chaos in Compact Binaries with Frequency Map Analysis |
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| 作者姓名： | Yi Xie and Tian-Yi Huang |
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| 作者单位： | Yi Xie and Tian-Yi Huang Department of Astronomy，Nanjing University，Nanjing 210093; |
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| 基金项目： | Supported by the National Natural Science Foundation of China. |
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| 摘 要： | The dynamics of compact binaries is very complicated because of spin-orbit coupling and spin-spin coupling. With Laskar's frequency map analysis (FMA) and frequency diffusion as an indicator, we found that misalignment of the spins and orbital angular momentum has a great effect on the dynamics, and for systems with different mass ratiosβ= m2/m1 chaos occurs at different spin-orbit configurations. For equal-mass binaries (β= 1), chaos occurs when the spins nearly cancel each other out. For some other systems (for exampleβ~ 1/2), the binaries are irregular, even chaotic, when the spins are perpendicular to the orbital angular momentum. For the case where gravitational radiation is taken into account, we give an analytic estimation for the frequency diffusion based on the decay of the orbit, which is roughly consistent with our simulations. This means the FMA is not suitable as a chaos indicator for weak chaotic cases with dissipative terms.
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| 关 键 词： | 天体力学 致密二体 频率图分析 混沌 轨道角动量 黑洞 中子星 |
Chaos in Compact Binaries with Frequency Map Analysis |
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| Yi Xie and Tian-Yi Huang.Chaos in Compact Binaries with Frequency Map Analysis[J].Chinese Journal of Astronomy and Astrophysics,2006,6(6):705-715. |
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| Authors: | Yi Xie Tian-Yi Huang |
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| Institution: | Department of Astronomy, Nanjing University, Nanjing 210093 |
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| Abstract: | |
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| Keywords: | celestial mechanics - (stars:) binaries (including multiple): close |
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