add: trapped proton fit
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README.md
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README.md
@ -89,20 +89,34 @@ Dose Estimation by Simulation of China Space Station
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#### 俘获辐射带
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1. 电子
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根据文献,在轨道较高($L>2.5$)的内带中,电子能谱中有$\sim64\%$符合指数分布,$\sim4\%$符合幂律分布。[^6]
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在轨道较高($L>2.5$)的内带中,电子能谱中有$\sim64\%$符合指数分布,$\sim4\%$符合幂律分布。[^6]
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但在本例中,轨道较低($L\sim1.06$),因此使用指数分布$j = j_0e^{-\frac{E}{E_0}}$和幂律分布$j=j_0E^{-\alpha}$进行拟合,随后使用`Origin Lab`对两者进行拟合比较,最终选用指数分布模型$j_0=1.333680\times10^6,\ E_0=0.0824$。
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但在本例中,轨道较低($L\sim1.06$),因此使用指数模型$j = j_0e^{-\frac{E}{E_0}}$和幂律模型$j=j_0E^{-\alpha}$进行拟合,随后使用`Origin Lab`对两者进行`BIC test`,最终选用指数模型$j_0=1.333680\times10^6,\ E_0=0.0824$。
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<div align=center>
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| Model | $R^2$ | BIC | BIC diff |
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| Model | $R^2$ | BIC | BIC diff |
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|:-----:|:-------:|:---------:|:--------:|
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| Ex | 0.98107 | 402.50208 | 0 |
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| Pow | 0.94279 | 423.51296 | 21.01088 |
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</div>
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<div align=center><img src="docs/ExFit-trapped-electron.png" style="max-width: 80%;"><br /></div>
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2. 质子
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与电子保持一致,额外考虑幂律平移模型$j=j_0(E-\beta)^{-\alpha}$,同电子进行`BIC test`,最终选用幂律平移模型$j_0=559.76377,\ \alpha=-2.40873,\ \beta=-1.53424$。
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<div align=center>
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| Model | $R^2$ | BIC | BIC diff |
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|:-----:|:-------:|:--------:|:--------:|
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| Ex | 0.9957 | 67.24594 | 0 |
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| Pow-T | 0.99883 | 39.11969 | 28.12625 |
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</div>
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<div align=center><img src="docs/ExFit-trapped-proton.png" style="max-width: 80%;"><br /></div>
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## 空间站结构
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1. 尺寸与分区[^7]
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docs/ExFit-trapped-electron.png
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docs/ExFit-trapped-electron.png
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docs/ExFit-trapped-proton.png
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