From f555549db267c226614727d529c7c38fb5d46204 Mon Sep 17 00:00:00 2001 From: YiHui Liu Date: Fri, 13 May 2022 17:47:32 +0800 Subject: [PATCH] add: gcr fit --- README.md | 74 ++++++++++----- assets/CREME86-M3.csv | 204 +++++++++++++++++++++--------------------- assets/fit.opju | Bin 0 -> 2704025 bytes assets/model.txt | 37 ++++++++ debug.txt | 1 - docs/spectra-M1.png | Bin 47410 -> 0 bytes docs/spectra.png | Bin 154214 -> 0 bytes fit.opju | Bin 885826 -> 0 bytes requirements.txt | Bin 0 -> 202 bytes utils/draw.py | 30 ++----- 10 files changed, 197 insertions(+), 149 deletions(-) create mode 100644 assets/fit.opju create mode 100644 assets/model.txt delete mode 100644 debug.txt delete mode 100644 docs/spectra-M1.png delete mode 100644 docs/spectra.png delete mode 100644 fit.opju create mode 100644 requirements.txt diff --git a/README.md b/README.md index 23082e0..1b2f7ee 100644 --- a/README.md +++ b/README.md @@ -49,47 +49,73 @@ Dose Estimation by Simulation of China Space Station ### 辐射环境 #### 银河宇宙射线[^2] -银河宇宙射线 (`GCR`，`Galactic cosmic rays`) 是从系外进入太阳系的高能带电粒子，其通量与太阳活动负相关，由质子、电子和完全电离的原子核组成。 +银河宇宙射线 (`GCR`，`Galactic cosmic rays`) 是从系外进入太阳系的高能带电粒子，其通量与太阳活动负相关，主要由质子、电子和完全电离的原子核组成，核成分约占$98\%$，分别为`H`（$\approx87\%$）、`He`（$\approx12\%$）和少量较重的原子核（$\approx1\%$）。 -以高能重带电粒子为主（可达到$10^{11}\ \mathrm{GeV}$），贡献绝大部分有效剂量。一般在太阳活动极小时最大（还取决太阳磁性）。各向同性，通量约为$1\sim10\ \mathrm{cm^{-2}s^{−1}}$ +`GCR`一般各向同性，通量约为$1\sim10\ \mathrm{cm^{-2}s^{−1}}$，以高能粒子为主（可达到$10^{11}\ \mathrm{GeV}$），贡献绝大部分有效剂量。一般在太阳活动极小时最大（还取决太阳磁性）。 -宇宙射线中还包含有所谓异常部分（`anomalous component`），星际间的中性粒子进入太阳系后，太阳辐射使其失去电子，离子太阳风作用和碰撞加速，其穿透地磁场的能力比其他宇宙射线更大，又可分为部分电离（`singly-ionized anomalous component`）和完全电离（`fully-ionized anomalous component`）。 +`GCR`中还包含有所谓异常成分（`anomalous component`），星际间的中性粒子进入太阳系后，太阳辐射使其失去电子，离子太阳风作用和碰撞加速，其穿透地磁场的能力比其他成分更大，又可分为部分电离（`singly-ionized anomalous component`）和完全电离（`fully-ionized anomalous component`）。 -考虑异常部分，我们使用`SPENVIS`+`CREME86`模型进行模拟，分别获取银河宇宙射线通量的最佳近似值（`M=1`）以及`90%`最坏情况下的银河宇宙射线通量（即实际情况大约只有`10%`的可能通量大于这一估计值，`M=3`）。 +考虑异常部分，我们使用`SPENVIS`+`CREME86`模型进行模拟，获取1号（`H`）至28号（`Ni`）元素在$90\%$最坏情况下的`GCR`通量（即实际情况大约只有$10\%$的可能通量大于这一估计值，`M=3`）。 -
+
#### 太阳辐射[^3] -太阳辐射的主要来源是日冕抛射和太阳耀斑，具有明显的周期性，主要的周期有11年、22年等。太阳辐射以质子为主（`90~95%`），通量可达$10^9\ \mathrm{cm^{-2}s^{−1}}$；其次为α粒子（`5~8%`）。太阳活动较强时，质子的比例会上升。 +太阳辐射的主要来源是日冕抛射和太阳耀斑，具有明显的周期性，主要的周期有11年、22年等。太阳辐射以质子为主（$90\sim95\%$），通量可达$10^9\ \mathrm{cm^{-2}s^{−1}}$；其次为α粒子（$5\sim8\%$）。太阳活动较强时，质子的比例会上升。 -使用`SPENVIS`+`SAPPHIRE`模型太阳质子和太阳α粒子任务期间总通量，置信概率为`95%`（即实际情况大约只有`5%`的可能通量大于这一估计值）。 +使用`SPENVIS`+`SAPPHIRE`模型太阳质子和太阳α粒子任务期间总通量，置信概率为$95\%$（即实际情况大约只有$5\%$的可能通量大于这一估计值）。
+可以发现，整个任务期间的总通量不超过$10^3\ \mathrm{cm^{-2}}$，远远小于银河宇宙射线和俘获辐射带的通量，因此在后续模拟中忽略这一因素的剂量。 + #### 俘获辐射带[^3] 近地俘获辐射带被称为`Van Allen`带，是部分宇宙射线、宇宙射线与地球磁场和大气层作用产生的带电粒子被地磁场俘获形成的辐射带，分为内外两个辐射带。 电子能量可达$7\ \mathrm{MeV}$，质子能量可达$600\ \mathrm{MeV}$，重带电粒子可达$50\ \mathrm{MeV/u}$，绝大部分是中低能量。 -使用`VDL`的`AE8/AP8`模型，计算轨道上的太阳活动极大时的俘获质子通量和太阳活动极小时的俘获电子通量，结果如下图所示。 +内带的高度一般在$600\ \mathrm{km}$以上，但是在高纬度地区和南大西洋地区，由于地磁异常，内袋高度会下降至$\sim300\ \mathrm{km}$，因此只有经过这些区域时才会有明显的俘获带电粒子通量。
-对整个任务期间求均值，获得俘获质子/电子通量的能谱，同时使用`AE9/AP9`模型进行计算，通量略高于`AE8/AP8`模型。保险起见，采用`AE9/AP9`模型的结果。 +使用`VDL`的`AE8/AP8`模型，计算轨道上的太阳活动极大时的俘获质子通量和太阳活动极小时的俘获电子通量，对整个任务期间求均值，获得俘获质子/电子通量的能谱。同时使用`AE9/AP9`模型进行计算，通量略高于`AE8/AP8`模型。保险起见，采用`AE9/AP9`模型的结果。

AE8/AP8模型结果

AE9/AP9模型结果
### 辐射环境拟合 -#### 银河宇宙射线 -[^4] +#### 银河宇宙射线[^4] +考虑`GCR`中1号（`H`）至28号（`Ni`）元素的强度模型，定义粒子刚度（`particle rigidity`）$R=\frac{pc}{Ze}$，其中$p$是粒子动量，$c$为光速，$Ze$是粒子电荷量，则有： +$$ +F(p,t) = \frac{C_i\beta^{\alpha_i}}{R(p)^{\gamma_i}}\left[\frac{R(p)}{R(p)+(0.37+3\times10^{-4}W(t)^{1.45})}\right]^{b\cdot W(t)+c}\frac{A_i}{Z_i}\frac{1}{\beta} +$$ -#### 太阳辐射 -[^5] +其中$pc=\sqrt{2m_0c^2E+E^2}$，不考虑$t$，则$W(t)$为常数，$C_i$，$\gamma_i$，$\alpha_i$为与粒子有关的常数，$A_i$，$Z_i$分别为质量数与电荷数，$\beta=\frac{v}{c}=\frac{pc}{\sqrt{m_0^2c^4+E^2}}$，则可简化为： +$$ +F(pc) = \frac{C_1\beta^{\alpha-1}}{pc}\left(\frac{pc}{pc+C_2}\right)^{C_3} +$$ + +同时考虑简单的双指数模型： +$$ +F(E)=C_1e^{-C_2E}(1-e^{-C_3E+C_4}) +$$ + +两者同时进行拟合与比较，同时考虑简洁性，除`H`以外，其余元素均采用双指数模型，`H`采用简化模型。 + +
+ +| Z | H | He | Li | Be | B | C | N | O | F | Ne | +|:--:|:-------:|:-------:|:-------:|:-------:|:-------:|:-------:|:-------:|:-------:|:-------:|:-------:| +| $R^2$ | 0.98915 | 0.98936 | 0.99755 | 0.99708 | 0.99569 | 0.98936 | 0.98892 | 0.98936 | 0.99323 | 0.99014 | +| Z | Na | Mg | Al | Si | P | S | Cl | Ar | K | Ca | +| $R^2$ | 0.99263 | 0.98972 | 0.99217 | 0.98873 | 0.99183 | 0.98873 | 0.99087 | 0.99432 | 0.98963 | 0.98935 | +| Z | Sc | Ti | V | Cr | Mn | Fe | Co | Ni | | | +| $R^2$ | 0.99251 | 0.9934 | 0.99424 | 0.99313 | 0.99385 | 0.99351 | 0.99426 | 0.99231 | | | + +
#### 俘获辐射带 -1. 电子 - 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] +1. 电子[^5] + 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。 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$j_0=1.333680\times10^6,\ E_0=0.0824$。 @@ -119,7 +145,7 @@ Dose Estimation by Simulation of China Space Station

## 空间站结构 -1. 尺寸与分区[^7] +1. 尺寸与分区[^6]
* 全长：16.6 m @@ -139,8 +165,8 @@ Dose Estimation by Simulation of China Space Station 2. 材料 * 外壳： 3层 2mm 铝 + 10mm 芳纶 + 5mm 铝
- * 5系铝合金[^8] - * 泰普龙[^9] + * 5系铝合金[^7] + * 泰普龙[^8]
* 填充：金属为主，使得总重大致相当 * 内部：空气 @@ -160,13 +186,13 @@ Dose Estimation by Simulation of China Space Station * 太阳活动极小时 * 更长的任务尺度 * 各向异性的模拟（如俘获辐射带质子各向异性通量） + * 太阳质子的检验 [^1]: [中国空间站轨道参数](http://www.cmse.gov.cn/gfgg/zgkjzgdcs/) [^2]: 程彭超,闵锐.近地空间辐射环境与防护方法概述[J].辐射防护通讯,2017,37(01):14-21. [^3]: Bourdarie S, Xapsos M. The near-earth space radiation environment[J]. IEEE transactions on nuclear science, 2008, 55(4): 1810-1832. -[^4]: -[^5]: -[^6]: Zhao H, Johnston W R, Baker D N, et al. Characterization and evolution of radiation belt electron energy spectra based on the Van Allen Probes measurements[J]. Journal of Geophysical Research: Space Physics, 2019, 124(6): 4217-4232. -[^7]: [【知识点·航天】“天和”核心舱、“天宫”空间站和新一代载人飞船的最新知识点（干货版）](https://zhuanlan.zhihu.com/p/103709953) -[^8]: [中铝造为“天和”号核心舱披“铠甲”壮“筋骨”](https://m.thepaper.cn/baijiahao_12484370) -[^9]: [泰普龙产品相关知识](https://wenku.baidu.com/view/a2ecf93501d8ce2f0066f5335a8102d276a261cd.html) +[^4]: Matthiä D, Berger T, Mrigakshi A I, et al. A ready-to-use galactic cosmic ray model[J]. Advances in Space Research, 2013, 51(3): 329-338. +[^5]: Zhao H, Johnston W R, Baker D N, et al. Characterization and evolution of radiation belt electron energy spectra based on the Van Allen Probes measurements[J]. Journal of Geophysical Research: Space Physics, 2019, 124(6): 4217-4232. +[^6]: [【知识点·航天】“天和”核心舱、“天宫”空间站和新一代载人飞船的最新知识点（干货版）](https://zhuanlan.zhihu.com/p/103709953) +[^7]: [中铝造为“天和”号核心舱披“铠甲”壮“筋骨”](https://m.thepaper.cn/baijiahao_12484370) +[^8]: [泰普龙产品相关知识](https://wenku.baidu.com/view/a2ecf93501d8ce2f0066f5335a8102d276a261cd.html) diff --git a/assets/CREME86-M3.csv b/assets/CREME86-M3.csv index cd7ff89..e129b99 100644 --- a/assets/CREME86-M3.csv +++ b/assets/CREME86-M3.csv @@ -1,5 +1,5 @@ -'*', 89, 1, 41, 43, 3, 185, 95, 0 -'SPENVIS 4.6.10.3443 - 12-May-2022 15:13:45' +'*', 89, 1, 41, 43, 3, 57, 95, 0 +'SPENVIS 4.6.10.3443 - 13-May-2022 08:31:52' 'PRJ_DEF', -1,'DESCSS' 'PRJ_HDR', -1,' ' 'MOD_ABB', -1,'GCR' @@ -30,7 +30,7 @@ 'ORB_MJR', -1,'1 Jan 1950, 00:00 UT' 'ORB_GDR', -1,'Astron. J. 66, 15, 1961' 'GCR_IEL', 1, 1,' ' -'GCR_JEL', 1, 92,' ' +'GCR_JEL', 1, 28,' ' 'GCR_MOD', -1,'CREME86' 'GCR_IWI', 1, 3,' ' 'GCR_IAC', 1, 0,' ' @@ -40,7 +40,7 @@ 'GCR_OMN', 1, 0,' ' 'GCR_ABS', -1,'Energy' 'PLT_HDR', -1,'ion spectrum (GCR)' -'SPECIES', -92,'H ','He','Li','Be','B ','C ','N ','O ','F ','Ne','Na','Mg','Al','Si','P ','S ','Cl','Ar','K ','Ca','Sc','Ti','V ','Cr','Mn','Fe','Co','Ni','Cu','Zn','Ga','Ge','As','Se','Br','Kr','Rb','Sr','Y ','Zr','Nb','Mo','Tc','Ru','Rh','Pd','Ag','Cd','In','Sn','Sb','Te','I ','Xe','Cs','Ba','La','Ce','Pr','Nd','Pm','Sm','Eu','Gd','Tb','Dy','Ho','Er','Tm','Yb','Lu','Hf','Ta','W ','Re','Os','Ir','Pt','Au','Hg','Tl','Pb','Bi','Po','At','Rn','Fr','Ra','Ac','Th','Pa','U ' +'SPECIES', -28,'H ','He','Li','Be','B ','C ','N ','O ','F ','Ne','Na','Mg','Al','Si','P ','S ','Cl','Ar','K ','Ca','Sc','Ti','V ','Cr','Mn','Fe','Co','Ni' 'PS Annotation', 8, 2 'Mission start: 11/05/2022 00:00:00' 0.05, 0.00, 0.00 @@ -78,108 +78,108 @@ 'PS Annotation', 8, 0 'GCR model: CREME86' 0.05, 1.50, 0.00 -'Ion range: H - U Interplanetary weather index: M = 3' +'Ion range: H - Ni Interplanetary weather index: M = 3' 0.05, 1.50, 0.00 'no propagation of flux' 0.05, 1.50, 0.00 'Magnetic shielding on' 0.05, 1.50, 0.00 'Energy','MeV/n', 1,'Energy' -'IFlux','m!u-2!n sr!u-1!n s!u-1!n', 92,'Integral Flux of ','SPECIES' -'DFlux','m!u-2!n sr!u-1!n s!u-1!n (MeV/n)!u-1!n', 92,'Differential Flux of ','SPECIES' - 1.0000E+00, 4.1813E+02, 5.4307E+01, 3.8266E-01, 1.9779E-01, 5.0841E-01, 1.6509E+00, 4.1647E-01, 1.5423E+00, 3.5271E-02, 2.5469E-01, 5.8646E-02, 3.5611E-01, 6.0996E-02, 2.6978E-01, 1.3029E-02, 5.4190E-02, 1.1655E-02, 2.3413E-02, 1.4647E-02, 3.7373E-02, 7.2356E-03, 2.5861E-02, 1.2580E-02, 2.4472E-02, 1.7791E-02, 1.9284E-01, 6.6784E-04, 9.3900E-03, 1.3413E-04, 1.7272E-04, 1.3206E-05, 2.8729E-05, 2.0325E-06, 1.2219E-05, 1.7149E-06, 4.8553E-06, 2.3035E-06, 7.5188E-06, 1.4027E-06, 3.5077E-06, 5.3279E-07, 1.4673E-06, 3.2626E-07, 1.1017E-06, 3.1050E-07, 9.4334E-07, 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0.0000E+00, 6.5662E-04, 2.4121E-05, 1.0756E-05, 1.9744E-05, 1.9961E-05, 5.2017E-06, 1.8648E-05, 9.1052E-07, 3.6562E-06, 1.3544E-06, 4.9644E-06, 1.2984E-06, 3.0401E-06, 2.6053E-07, 6.1066E-07, 2.3933E-07, 8.6517E-07, 2.4177E-07, 2.8610E-07, 1.9736E-07, 8.1950E-07, 4.5870E-07, 7.4195E-07, 6.0774E-07, 3.7878E-06, 1.5315E-08, 1.4261E-07, 3.1806E-09, 3.9367E-09, 3.9005E-10, 9.0702E-10, 6.4362E-11, 4.5163E-10, 5.6556E-11, 1.8147E-10, 8.2278E-11, 2.6448E-10, 4.5791E-11, 1.1468E-10, 1.6667E-11, 4.8460E-11, 9.8793E-12, 3.7705E-11, 1.0358E-11, 3.3902E-11, 9.2575E-12, 2.9613E-11, 1.1556E-11, 6.7527E-11, 9.2513E-12, 6.2105E-11, 1.4235E-11, 3.6278E-11, 5.8059E-12, 6.5078E-11, 5.5606E-12, 1.5984E-11, 2.8027E-12, 1.0673E-11, 1.7246E-12, 8.9019E-12, 1.4886E-12, 7.6930E-12, 1.8148E-12, 7.7648E-12, 2.8783E-12, 4.7511E-12, 9.5691E-13, 4.9776E-12, 7.1397E-13, 4.5982E-12, 4.1292E-13, 4.4219E-12, 1.5052E-12, 6.7473E-12, 4.4012E-12, 8.6522E-12, 1.5389E-12, 2.7976E-12, 2.2571E-12, 2.1452E-11, 1.1172E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 1.2427E-12, 0.0000E+00, 7.5716E-13 - 3.5000E+02, 4.1813E+02, 5.4262E+01, 3.8074E-01, 1.9696E-01, 5.0698E-01, 1.6496E+00, 4.1611E-01, 1.5410E+00, 3.5207E-02, 2.5444E-01, 5.8551E-02, 3.5577E-01, 6.0907E-02, 2.6957E-01, 1.3011E-02, 5.4148E-02, 1.1639E-02, 2.3348E-02, 1.4630E-02, 3.7352E-02, 7.2214E-03, 2.5801E-02, 1.2546E-02, 2.4418E-02, 1.7746E-02, 1.9257E-01, 6.6671E-04, 9.3800E-03, 1.3390E-04, 1.7243E-04, 1.3176E-05, 2.8659E-05, 2.0275E-06, 1.2183E-05, 1.7105E-06, 4.8407E-06, 2.2969E-06, 7.4978E-06, 1.3992E-06, 3.4987E-06, 5.3150E-07, 1.4635E-06, 3.2550E-07, 1.0988E-06, 3.0969E-07, 9.4064E-07, 2.6955E-07, 7.6252E-07, 2.9670E-07, 1.6120E-06, 2.1415E-07, 1.2690E-06, 3.2535E-07, 7.7168E-07, 1.2703E-07, 1.3346E-06, 1.1713E-07, 3.5031E-07, 6.4891E-08, 2.3955E-07, 4.0894E-08, 1.9134E-07, 3.2801E-08, 1.5611E-07, 3.7696E-08, 1.5640E-07, 5.8067E-08, 9.5997E-08, 1.9763E-08, 9.8699E-08, 1.4315E-08, 9.0022E-08, 8.0983E-09, 8.5738E-08, 2.9301E-08, 1.2729E-07, 8.3869E-08, 1.6356E-07, 2.9437E-08, 5.2385E-08, 4.1270E-08, 3.9031E-07, 2.0589E-08, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2.1096E-08, 0.0000E+00, 1.2704E-08, 0.0000E+00, 1.3901E-03, 3.2307E-05, 1.5106E-05, 3.0653E-05, 4.2259E-05, 1.1126E-05, 3.9478E-05, 1.5088E-06, 7.2740E-06, 2.3167E-06, 9.7375E-06, 2.2730E-06, 6.4361E-06, 4.6465E-07, 1.2928E-06, 4.1985E-07, 1.2857E-06, 4.5284E-07, 6.2204E-07, 3.1958E-07, 1.2738E-06, 6.8434E-07, 1.1673E-06, 9.2429E-07, 6.1429E-06, 2.3826E-08, 2.4829E-07, 4.9011E-09, 6.1348E-09, 5.6351E-10, 1.2841E-09, 9.1035E-11, 6.0936E-10, 7.8994E-11, 2.4405E-10, 1.1215E-10, 3.6221E-10, 6.4159E-11, 1.6061E-10, 2.3663E-11, 6.7655E-11, 1.4164E-11, 5.2066E-11, 1.4415E-11, 4.6126E-11, 1.2780E-11, 3.9426E-11, 1.5373E-11, 8.8041E-11, 1.1964E-11, 7.7898E-11, 1.8350E-11, 4.5949E-11, 7.4034E-12, 8.1701E-11, 7.0266E-12, 2.0390E-11, 3.6248E-12, 1.3696E-11, 2.2444E-12, 1.1303E-11, 1.9014E-12, 9.6332E-12, 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1.2660E-07, 1.3298E-06, 1.1672E-07, 3.4911E-07, 6.4678E-08, 2.3874E-07, 4.0763E-08, 1.9068E-07, 3.2689E-08, 1.5554E-07, 3.7563E-08, 1.5583E-07, 5.7857E-08, 9.5650E-08, 1.9692E-08, 9.8337E-08, 1.4263E-08, 8.9689E-08, 8.0683E-09, 8.5418E-08, 2.9192E-08, 1.2680E-07, 8.3552E-08, 1.6294E-07, 2.9326E-08, 5.2183E-08, 4.1108E-08, 3.8878E-07, 2.0509E-08, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2.1008E-08, 0.0000E+00, 1.2650E-08, 0.0000E+00, 2.8175E-03, 4.3219E-05, 2.0963E-05, 4.6915E-05, 8.5652E-05, 2.2890E-05, 8.0017E-05, 2.4837E-06, 1.4105E-05, 3.9447E-06, 1.8682E-05, 3.9656E-06, 1.3045E-05, 8.2512E-07, 2.6203E-06, 7.3955E-07, 1.8965E-06, 8.4870E-07, 1.3104E-06, 5.1563E-07, 1.9637E-06, 1.0133E-06, 1.8237E-06, 1.3944E-06, 9.9563E-06, 3.6887E-08, 4.3529E-07, 7.5170E-09, 9.5145E-09, 8.1388E-10, 1.8238E-09, 1.2920E-10, 8.3727E-10, 1.1103E-10, 3.3469E-10, 1.5504E-10, 5.0215E-10, 9.0394E-11, 2.2620E-10, 3.3684E-11, 9.5058E-11, 2.0330E-11, 7.2583E-11, 2.0207E-11, 6.3693E-11, 1.7813E-11, 5.3768E-11, 2.0956E-11, 1.1895E-10, 1.6112E-11, 1.0416E-10, 2.4679E-11, 6.1504E-11, 9.9239E-12, 1.0925E-10, 9.4013E-12, 2.7335E-11, 4.8815E-12, 1.8391E-11, 3.0302E-12, 1.5136E-11, 2.5499E-12, 1.2880E-11, 3.0568E-12, 1.2976E-11, 4.8120E-12, 7.9460E-12, 1.6094E-12, 8.2877E-12, 1.1918E-12, 7.6348E-12, 6.8586E-13, 7.3272E-12, 2.4961E-12, 1.1122E-11, 7.2684E-12, 1.4267E-11, 2.5433E-12, 4.6053E-12, 3.7004E-12, 3.5143E-11, 1.8339E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2.0188E-12, 0.0000E+00, 1.2288E-12 - 4.5000E+02, 4.1813E+02, 5.3984E+01, 3.7643E-01, 1.9488E-01, 5.0238E-01, 1.6411E+00, 4.1384E-01, 1.5331E+00, 3.4964E-02, 2.5305E-01, 5.8166E-02, 3.5393E-01, 6.0519E-02, 2.6829E-01, 1.2930E-02, 5.3889E-02, 1.1566E-02, 2.3161E-02, 1.4546E-02, 3.7222E-02, 7.1708E-03, 2.5608E-02, 1.2446E-02, 2.4239E-02, 1.7609E-02, 1.9159E-01, 6.6308E-04, 9.3372E-03, 1.3315E-04, 1.7149E-04, 1.3095E-05, 2.8477E-05, 2.0147E-06, 1.2099E-05, 1.6994E-06, 4.8072E-06, 2.2814E-06, 7.4476E-06, 1.3901E-06, 3.4762E-06, 5.2815E-07, 1.4541E-06, 3.2348E-07, 1.0915E-06, 3.0767E-07, 9.3427E-07, 2.6777E-07, 7.5714E-07, 2.9460E-07, 1.6001E-06, 2.1253E-07, 1.2585E-06, 3.2288E-07, 7.6551E-07, 1.2604E-07, 1.3236E-06, 1.1618E-07, 3.4757E-07, 6.4402E-08, 2.3770E-07, 4.0591E-08, 1.8982E-07, 3.2545E-08, 1.5482E-07, 3.7390E-08, 1.5510E-07, 5.7585E-08, 9.5201E-08, 1.9601E-08, 9.7869E-08, 1.4196E-08, 8.9258E-08, 8.0296E-09, 8.5005E-08, 2.9051E-08, 1.2617E-07, 8.3142E-08, 1.6213E-07, 2.9183E-08, 5.1924E-08, 4.0900E-08, 3.8680E-07, 2.0405E-08, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2.0895E-08, 0.0000E+00, 1.2582E-08, 0.0000E+00, 4.1005E-03, 5.3496E-05, 2.5977E-05, 5.9338E-05, 1.2465E-04, 3.3737E-05, 1.1645E-04, 3.2331E-06, 2.0025E-05, 5.2146E-06, 2.6373E-05, 5.3054E-06, 1.8985E-05, 1.1143E-06, 3.8134E-06, 1.0034E-06, 2.4169E-06, 1.1900E-06, 1.9703E-06, 6.7358E-07, 2.5267E-06, 1.2921E-06, 2.3555E-06, 1.7844E-06, 1.3099E-05, 4.7819E-08, 5.9183E-07, 9.7215E-09, 1.2340E-08, 1.0421E-09, 2.3327E-09, 1.6525E-10, 1.0696E-09, 1.4201E-10, 4.2742E-10, 1.9819E-10, 6.4204E-10, 1.1561E-10, 2.8930E-10, 4.3086E-11, 1.2158E-10, 2.6016E-11, 9.2833E-11, 2.5848E-11, 8.1409E-11, 2.2782E-11, 6.8587E-11, 2.6729E-11, 1.5122E-10, 2.0455E-11, 1.3136E-10, 3.1316E-11, 7.7753E-11, 1.2566E-11, 1.3781E-10, 1.1878E-11, 3.4615E-11, 6.1973E-12, 2.3317E-11, 3.8511E-12, 1.9147E-11, 3.2300E-12, 1.6236E-11, 3.8589E-12, 1.6349E-11, 6.0635E-12, 1.0014E-11, 2.0309E-12, 1.0431E-11, 1.5013E-12, 9.6003E-12, 8.6255E-13, 9.2062E-12, 3.1373E-12, 1.3942E-11, 9.1187E-12, 1.7888E-11, 3.1918E-12, 5.7694E-12, 4.6261E-12, 4.3913E-11, 2.2943E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2.5052E-12, 0.0000E+00, 1.5229E-12 - 5.0000E+02, 4.1813E+02, 5.3754E+01, 3.7350E-01, 1.9346E-01, 4.9912E-01, 1.6341E+00, 4.1194E-01, 1.5266E+00, 3.4786E-02, 2.5193E-01, 5.7878E-02, 3.5246E-01, 6.0226E-02, 2.6722E-01, 1.2868E-02, 5.3676E-02, 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5.1511E-11, 1.2576E-10, 2.0465E-11, 2.2080E-10, 1.9165E-11, 5.6397E-11, 1.0222E-11, 3.8199E-11, 6.3838E-12, 3.1049E-11, 5.2692E-12, 2.5940E-11, 6.2039E-12, 2.6069E-11, 9.6726E-12, 1.5980E-11, 3.2602E-12, 1.6561E-11, 2.3908E-12, 1.5188E-11, 1.3653E-12, 1.4526E-11, 4.9556E-12, 2.1827E-11, 1.4318E-11, 2.8022E-11, 5.0169E-12, 9.0129E-12, 7.1776E-12, 6.8036E-11, 3.5679E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 3.7994E-12, 0.0000E+00, 2.3009E-12 - 7.1000E+02, 4.1813E+02, 5.2310E+01, 3.5677E-01, 1.8517E-01, 4.7957E-01, 1.5902E+00, 3.9971E-01, 1.4856E+00, 3.3707E-02, 2.4498E-01, 5.6126E-02, 3.4333E-01, 5.8435E-02, 2.6054E-01, 1.2491E-02, 5.2333E-02, 1.1156E-02, 2.2207E-02, 1.4053E-02, 3.6361E-02, 6.8990E-03, 2.4598E-02, 1.1935E-02, 2.3294E-02, 1.6899E-02, 1.8618E-01, 6.4353E-04, 9.0898E-03, 1.2919E-04, 1.6645E-04, 1.2679E-05, 2.7551E-05, 1.9490E-06, 1.1682E-05, 1.6433E-06, 4.6408E-06, 2.2038E-06, 7.1957E-06, 1.3444E-06, 3.3617E-06, 5.1102E-07, 1.4060E-06, 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2.0324E-09, 2.7686E-10, 8.1000E-10, 3.7964E-10, 1.2342E-09, 2.2588E-10, 5.6507E-10, 8.4903E-11, 2.3697E-10, 5.1584E-11, 1.7955E-10, 5.0271E-11, 1.5572E-10, 4.4056E-11, 1.2887E-10, 5.0185E-11, 2.7858E-10, 3.7358E-11, 2.3054E-10, 5.6982E-11, 1.3833E-10, 2.2562E-11, 2.4216E-10, 2.1065E-11, 6.2183E-11, 1.1319E-11, 4.2197E-11, 7.0814E-12, 3.4182E-11, 5.8121E-12, 2.8426E-11, 6.8110E-12, 2.8549E-11, 1.0594E-11, 1.7505E-11, 3.5775E-12, 1.8115E-11, 2.6173E-12, 1.6596E-11, 1.4920E-12, 1.5861E-11, 5.4127E-12, 2.3780E-11, 1.5612E-11, 3.0534E-11, 5.4720E-12, 9.8133E-12, 7.7989E-12, 7.3895E-11, 3.8794E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 4.1029E-12, 0.0000E+00, 2.4824E-12 - 8.0000E+02, 4.1813E+02, 5.1497E+01, 3.4822E-01, 1.8087E-01, 4.6912E-01, 1.5655E+00, 3.9272E-01, 1.4625E+00, 3.3121E-02, 2.4109E-01, 5.5169E-02, 3.3823E-01, 5.7451E-02, 2.5677E-01, 1.2282E-02, 5.1576E-02, 1.0957E-02, 2.1766E-02, 1.3811E-02, 3.5919E-02, 6.7697E-03, 2.4124E-02, 1.1699E-02, 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5.4955E-09, 3.4377E-08, 3.0937E-09, 3.2670E-08, 1.1175E-08, 4.8195E-08, 3.1831E-08, 6.1960E-08, 1.1182E-08, 1.9800E-08, 1.5510E-08, 1.4651E-07, 7.7526E-09, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 7.7784E-09, 0.0000E+00, 4.6693E-09, 3.2077E-02, 4.8390E-03, 3.1133E-05, 1.6373E-05, 4.3395E-05, 1.4710E-04, 3.8068E-05, 1.3743E-04, 3.0673E-06, 2.2599E-05, 5.1236E-06, 3.0503E-05, 5.3458E-06, 2.3208E-05, 1.1445E-06, 4.6617E-06, 1.0218E-06, 1.9841E-06, 1.2954E-06, 3.3483E-06, 6.2553E-07, 2.2153E-06, 1.0671E-06, 2.1023E-06, 1.5162E-06, 1.6890E-05, 5.8119E-08, 8.2932E-07, 1.1655E-08, 1.5035E-08, 1.1346E-09, 2.4581E-09, 1.7387E-10, 1.0334E-09, 1.4631E-10, 4.1025E-10, 1.9536E-10, 6.3843E-10, 1.1976E-10, 2.9943E-10, 4.5613E-11, 1.2517E-10, 2.7989E-11, 9.3747E-11, 2.6469E-11, 7.9967E-11, 2.2996E-11, 6.4431E-11, 2.5064E-11, 1.3523E-10, 1.7904E-11, 1.0445E-10, 2.7163E-11, 6.3855E-11, 1.0550E-11, 1.0990E-10, 9.6797E-12, 2.9099E-11, 5.4255E-12, 1.9956E-11, 3.4280E-12, 1.5855E-11, 2.7265E-12, 1.2836E-11, 3.1095E-12, 1.2847E-11, 4.7709E-12, 7.8890E-12, 1.6289E-12, 8.0896E-12, 1.1752E-12, 7.3649E-12, 6.6271E-13, 7.0045E-12, 2.3952E-12, 1.0356E-11, 6.8340E-12, 1.3311E-11, 2.4001E-12, 4.2571E-12, 3.3412E-12, 3.1575E-11, 1.6690E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 1.6866E-12, 0.0000E+00, 1.0135E-12 - 5.0000E+03, 2.9834E+02, 1.9903E+01, 8.4259E-02, 4.4744E-02, 1.2099E-01, 6.0504E-01, 1.2636E-01, 5.6524E-01, 1.2199E-02, 9.2353E-02, 2.0494E-02, 1.4200E-01, 2.1469E-02, 1.0894E-01, 4.6101E-03, 2.1883E-02, 3.7319E-03, 7.0127E-03, 4.7801E-03, 1.5718E-02, 2.2511E-03, 7.9035E-03, 3.7749E-03, 7.5201E-03, 5.3851E-03, 7.5861E-02, 2.5864E-04, 3.7771E-03, 5.1759E-05, 6.6934E-05, 4.9683E-06, 1.0716E-05, 7.5779E-07, 4.4549E-06, 6.3587E-07, 1.7670E-06, 8.4422E-07, 2.7619E-06, 5.2084E-07, 1.3021E-06, 1.9897E-07, 5.4395E-07, 1.2236E-07, 4.0637E-07, 1.1494E-07, 3.4541E-07, 9.9677E-08, 2.7681E-07, 1.0766E-07, 5.7779E-07, 7.6329E-08, 4.4098E-07, 1.1569E-07, 2.7047E-07, 4.4786E-08, 4.6414E-07, 4.0968E-08, 1.2354E-07, 2.3130E-08, 8.4880E-08, 1.4640E-08, 6.7212E-08, 1.1580E-08, 5.4166E-08, 1.3146E-08, 5.4177E-08, 2.0122E-08, 3.3277E-08, 6.8834E-09, 3.4070E-08, 4.9540E-09, 3.0984E-08, 2.7884E-09, 2.9443E-08, 1.0071E-08, 4.3426E-08, 2.8683E-08, 5.5829E-08, 1.0077E-08, 1.7839E-08, 1.3971E-08, 1.3197E-07, 6.9840E-09, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 7.0023E-09, 0.0000E+00, 4.2030E-09, 3.0624E-02, 4.1609E-03, 2.4889E-05, 1.3140E-05, 3.5126E-05, 1.2649E-04, 3.2105E-05, 1.1817E-04, 2.6131E-06, 1.9400E-05, 4.3725E-06, 2.6371E-05, 4.5674E-06, 2.0106E-05, 9.7865E-07, 4.0386E-06, 8.6304E-07, 1.6558E-06, 1.0974E-06, 2.9162E-06, 5.2582E-07, 1.8560E-06, 8.9090E-07, 1.7631E-06, 1.2680E-06, 1.4528E-05, 4.9821E-08, 7.1651E-07, 9.9829E-09, 1.2890E-08, 9.6645E-10, 2.0904E-09, 1.4785E-10, 8.7548E-10, 1.2428E-10, 3.4746E-10, 1.6563E-10, 5.4147E-10, 1.0175E-10, 2.5441E-10, 3.8798E-11, 1.0633E-10, 2.3826E-11, 7.9562E-11, 2.2478E-11, 6.7787E-11, 1.9516E-11, 5.4528E-11, 2.1210E-11, 1.1429E-10, 1.5124E-11, 8.8076E-11, 2.2941E-11, 5.3877E-11, 8.9049E-12, 9.2679E-11, 8.1660E-12, 2.4562E-11, 4.5831E-12, 1.6850E-11, 2.8968E-12, 1.3379E-11, 2.3015E-12, 1.0823E-11, 2.6227E-12, 1.0831E-11, 4.0224E-12, 6.6514E-12, 1.3738E-12, 6.8186E-12, 9.9072E-13, 6.2066E-12, 5.5849E-13, 5.9020E-12, 2.0183E-12, 8.7220E-12, 5.7568E-12, 1.1212E-11, 2.0219E-12, 3.5850E-12, 2.8127E-12, 2.6578E-11, 1.4052E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 1.4179E-12, 0.0000E+00, 8.5187E-13 - 5.5000E+03, 2.8340E+02, 1.7969E+01, 7.2998E-02, 3.8796E-02, 1.0507E-01, 5.4627E-01, 1.1157E-01, 5.1033E-01, 1.0991E-02, 8.3347E-02, 1.8470E-02, 1.2972E-01, 1.9354E-02, 9.9567E-02, 4.1568E-03, 1.9999E-02, 3.3342E-03, 6.2517E-03, 4.2737E-03, 1.4356E-02, 2.0092E-03, 7.0501E-03, 3.3655E-03, 6.7093E-03, 4.8023E-03, 6.9111E-02, 2.3550E-04, 3.4437E-03, 4.7124E-05, 6.0949E-05, 4.5199E-06, 9.7459E-06, 6.8921E-07, 4.0490E-06, 5.7823E-07, 1.6060E-06, 7.6743E-07, 2.5109E-06, 4.7365E-07, 1.1841E-06, 1.8097E-07, 4.9464E-07, 1.1130E-07, 3.6947E-07, 1.0452E-07, 3.1398E-07, 9.0627E-08, 2.5154E-07, 9.7827E-08, 5.2484E-07, 6.9322E-08, 4.0021E-07, 1.0506E-07, 2.4553E-07, 4.0662E-08, 4.2124E-07, 3.7188E-08, 1.1217E-07, 2.1007E-08, 7.7075E-08, 1.3298E-08, 6.1017E-08, 1.0514E-08, 4.9156E-08, 1.1932E-08, 4.9164E-08, 1.8260E-08, 3.0199E-08, 6.2474E-09, 3.0914E-08, 4.4955E-09, 2.8112E-08, 2.5300E-09, 2.6712E-08, 9.1375E-09, 3.9390E-08, 2.6020E-08, 5.0642E-08, 9.1412E-09, 1.6181E-08, 1.2671E-08, 1.1968E-07, 6.3341E-09, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 6.3469E-09, 0.0000E+00, 3.8092E-09, 2.9138E-02, 3.5727E-03, 2.0154E-05, 1.0653E-05, 2.8553E-05, 1.0861E-04, 2.7049E-05, 1.0146E-04, 2.2216E-06, 1.6624E-05, 3.7229E-06, 2.2755E-05, 3.8932E-06, 1.7393E-05, 8.3492E-07, 3.4936E-06, 7.2780E-07, 1.3879E-06, 9.2821E-07, 2.5339E-06, 4.4184E-07, 1.5574E-06, 7.4681E-07, 1.4800E-06, 1.0634E-06, 1.2474E-05, 4.2718E-08, 6.1711E-07, 8.5574E-09, 1.1053E-08, 8.2718E-10, 1.7882E-09, 1.2647E-10, 7.4792E-10, 1.0628E-10, 2.9680E-10, 1.4154E-10, 4.6278E-10, 8.7023E-11, 2.1758E-10, 3.3193E-11, 9.0924E-11, 2.0389E-11, 6.8017E-11, 1.9221E-11, 5.7925E-11, 1.6684E-11, 4.6563E-11, 1.8111E-11, 9.7515E-11, 1.2901E-11, 7.5007E-11, 1.9565E-11, 4.5908E-11, 7.5905E-12, 7.8932E-11, 6.9572E-12, 2.0937E-11, 3.9093E-12, 1.4368E-11, 2.4716E-12, 1.1402E-11, 1.9620E-12, 9.2166E-12, 2.2341E-12, 9.2223E-12, 3.4250E-12, 5.6636E-12, 1.1702E-12, 5.8045E-12, 8.4350E-13, 5.2825E-12, 4.7535E-13, 5.0225E-12, 1.7176E-12, 7.4191E-12, 4.8976E-12, 9.5371E-12, 1.7202E-12, 3.0491E-12, 2.3913E-12, 2.2594E-11, 1.1948E-12, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 1.2038E-12, 0.0000E+00, 7.2307E-13 - 6.3000E+03, 2.6109E+02, 1.5416E+01, 5.9036E-02, 3.1409E-02, 8.5239E-02, 4.6864E-01, 9.2483E-02, 4.3781E-01, 9.4061E-03, 7.1470E-02, 1.5814E-02, 1.1338E-01, 1.6576E-02, 8.7072E-02, 3.5608E-03, 1.7490E-02, 2.8181E-03, 5.2698E-03, 3.6151E-03, 1.2531E-02, 1.6962E-03, 5.9475E-03, 2.8371E-03, 5.6612E-03, 4.0497E-03, 6.0149E-02, 2.0484E-04, 3.0000E-03, 4.0981E-05, 5.3013E-05, 3.9267E-06, 8.4640E-06, 5.9855E-07, 3.5134E-06, 5.0206E-07, 1.3934E-06, 6.6604E-07, 2.1793E-06, 4.1127E-07, 1.0282E-06, 1.5717E-07, 4.2948E-07, 9.6684E-08, 3.2074E-07, 9.0746E-08, 2.7249E-07, 7.8672E-08, 2.1820E-07, 8.4861E-08, 4.5506E-07, 6.0095E-08, 3.4664E-07, 9.1069E-08, 2.1272E-07, 3.5236E-08, 3.6486E-07, 3.2217E-08, 9.7200E-08, 1.8210E-08, 6.6802E-08, 1.1529E-08, 5.2868E-08, 9.1118E-09, 4.2574E-08, 1.0336E-08, 4.2579E-08, 1.5815E-08, 2.6154E-08, 5.4115E-09, 2.6770E-08, 3.8932E-09, 2.4341E-08, 2.1906E-09, 2.3128E-08, 7.9116E-09, 3.4097E-08, 2.2525E-08, 4.3838E-08, 7.9137E-09, 1.4006E-08, 1.0965E-08, 1.0357E-07, 5.4820E-09, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 0.0000E+00, 5.4894E-09, 0.0000E+00, 3.2943E-09, 2.6649E-02, 2.8108E-03, 1.4753E-05, 7.8140E-06, 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+125.89223, 44.00673, -0.000460574, 112356 +0.01815, 0.000297726, 0.00184, 0.49271 +0.000184794, 0.000389118, 0.0021, 0.49406 +0.0000953693, 0.000386546, 0.002, 0.48222 +0.000245835, 0.000383147, 0.00182, 0.45495 +0.000551454, 0.000297607, 0.00184, 0.49310 +0.000177397, 0.000347376, 0.00161, 0.43464 +0.000515269, 0.000297659, 0.00184, 0.49294 +0.0000121025, 0.000307953, 0.00208, 0.53260 +0.0000855093, 0.000299579, 0.00188, 0.50022 +0.0000200236, 0.000306074, 0.00204, 0.52582 +0.000107752, 0.000283677, 0.00197, 0.52149 +0.0000207575, 0.000304806, 0.00201, 0.52089 +0.0000809795, 0.000281074, 0.00191, 0.51232 +0.00000442291, 0.000303868, 0.00198, 0.51717 +0.0000162654, 0.000281067, 0.00191, 0.51235 +0.00000463438, 0.00033962, 0.00178, 0.46921 +0.00000956898, 0.000351681, 0.00199, 0.49986 +0.00000578307, 0.000336363, 0.00172, 0.45907 +0.0000109853, 0.000266092, 0.00154, 0.42213 +0.00000291072, 0.000344777, 0.00187, 0.48297 +0.0000104814, 0.000348052, 0.00193, 0.49105 +0.0000051388, 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