From 172b0dbe9ec1cd988a0c7db32099a72d698e2247 Mon Sep 17 00:00:00 2001 From: YiHui Liu Date: Fri, 13 May 2022 12:17:21 +0800 Subject: [PATCH] add: trapped proton fit --- README.md | 20 +++++++++++++++++--- debug.txt | 1 + docs/ExFit-trapped-electron.png | Bin 0 -> 101290 bytes docs/ExFit-trapped-proton.png | Bin 0 -> 255316 bytes fit.opju | Bin 330368 -> 885826 bytes 5 files changed, 18 insertions(+), 3 deletions(-) create mode 100644 debug.txt create mode 100644 docs/ExFit-trapped-electron.png create mode 100644 docs/ExFit-trapped-proton.png diff --git a/README.md b/README.md index 94d9b9e..23082e0 100644 --- a/README.md +++ b/README.md @@ -89,20 +89,34 @@ Dose Estimation by Simulation of China Space Station #### 俘获辐射带 1. 电子 - 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] + 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] - 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$j_0=1.333680\times10^6,\ E_0=0.0824$。 + 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$j_0=1.333680\times10^6,\ E_0=0.0824$。
- | Model | $R^2$ | BIC | BIC diff | + | Model | $R^2$ | BIC | BIC diff | |:-----:|:-------:|:---------:|:--------:| | Ex | 0.98107 | 402.50208 | 0 | | Pow | 0.94279 | 423.51296 | 21.01088 |
+

+ 2. 质子 + 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$j_0=559.76377,\ \alpha=-2.40873,\ \beta=-1.53424$。 + +
+ + | Model | $R^2$ | BIC | BIC diff | + |:-----:|:-------:|:--------:|:--------:| + | Ex | 0.9957 | 67.24594 | 0 | + | Pow-T | 0.99883 | 39.11969 | 28.12625 | + +
+ +

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