trapped particle fluxes

README.md

@@ -71,6 +71,15 @@ Dose Estimation by Simulation of China Space Station
 
 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。
+
+<div align=center><img src="docs/fluxmap.png" style="max-width: 80%;"></div>
+
+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。
+
+<div align=center><img src="docs/spectra-ep.png" style="max-width: 80%;"><br /><span style="color: gray;font-size: 12px;">AE8/AP8模型结果</span></div>
+<div align=center><img src="docs/spectra-ep-9.png" style="max-width: 80%;"><br /><span style="color: gray;font-size: 12px;">AE9/AP9模型结果</span></div>
+
 ## 空间站结构
 1. 尺寸与分区[^4]  
 <div align=center><img src="docs/size.webp" style="max-width: 50%;"></div>

assets/css.txt

@@ -0,0 +1,2 @@
+1 48274U 21035A   22131.00000000  .00018566  00000-0  21317-3 0  9998
+2 48274  41.4696  84.9802 0011517 308.1456  44.4159 15.61130380 58963

assets/trapped.csv

@@ -0,0 +1,211 @@
+'*',    75,     1,    33,    37,     3,     3,    29,     1
+'SPENVIS 4.6.10.3403          - 12-May-2022 16:26:20'
+'PRJ_DEF', -1,'DESCSS'
+'PRJ_HDR', -1,' '
+'MOD_ABB', -1,'TRP'
+'MIS_PLA',  1,    3,' '
+'MIS_NTR',  1,    1,' '
+'MIS_STA',  1,  26428.00000000,' '
+'MIS_END',  1,  26793.00000000,' '
+'MIS_DUR',  1, 3.650000E+02,'days'
+'ORB_HDR', -1,' '
+'ORB_TYP', -1,'GEN'
+'ORB_MJD',  1,  26428.00000000,' '
+'ORB_YEA',  1, 2022,' '
+'ORB_MON',  1,  5,' '
+'ORB_DAY',  1, 11,' '
+'ORB_HOU',  1,  0,' '
+'ORB_MIN',  1,  0,' '
+'ORB_SEC',  1,  0.0,' '
+'ORB_APO',  1, 3.938000E+02,'km'
+'ORB_PER',  1, 3.792000E+02,'km'
+'ORB_INC',  1,    41.47,'deg'
+'ORB_RAA',  1,    84.98,'deg'
+'ORB_ARG',  1,   308.15,'deg'
+'ORB_TRA',  1,    44.46,'deg'
+'ORB_PRD',  1, 1.535628E+00,'hrs'
+'ORB_DUR',  1, 3.000000E+01,'days'
+'ORB_TSE',  1,  26793.00000000,' '
+'ORB_AXM',  1,  2,' '
+'ORB_MJR', -1,'1 Jan 1950, 00:00 UT'
+'ORB_GDR', -1,'Astron. J. 66, 15, 1961'
+'TRP_MOD', -1,'AP-8 MIN'
+'TRP_OMN', 1,  1,' '
+'PLT_HDR', -1,'AP-8 MIN Orbit averaged flux'
+'SPECIES', -1,'proton'
+'PS Annotation',  8,  2
+'Mission start: 11/05/2022 00:00:00'
+ 0.05, 0.00, 0.00
+'Mission end: 11/05/2023 00:00:00'
+ 0.95, 0.00, 1.00
+'Nr. of segments:   1'
+ 0.05, 1.50, 0.00
+'Duration: 365.00 days'
+ 0.95, 0.00, 1.00
+'PS Annotation', 24,  1
+'Segment  1:'
+ 0.05, 2.00, 0.00
+'Apogee: 393.8 km'
+ 0.05, 1.50, 0.00
+'Perigee: 379.2 km'
+ 0.50, 0.00, 0.50
+'Inclination: 41.5 deg'
+ 0.95, 0.00, 1.00
+'R.A. Asc. Node: 85.0 deg'
+ 0.05, 1.50, 0.00
+'Arg. Per.: 308.1 deg'
+ 0.50, 0.00, 0.50
+'True Anomaly: 44.5 deg'
+ 0.95, 0.00, 1.00
+'Period: 1.54 hrs'
+ 0.05, 1.50, 0.00
+'Duration: 30.00 days'
+ 0.50, 0.00, 0.50
+'468.86 Orbits'
+ 0.95, 0.00, 1.00
+'Orbit start: 11/05/2022 00:00:00'
+ 0.05, 1.50, 0.00
+'Orbit end: 10/06/2022 00:00:00'
+ 0.95, 0.00, 1.00
+'PS Annotation',  2,  0
+'Trapped proton model: AP-8 MIN'
+ 0.05, 2.00, 0.00
+'Energy','MeV', 1,'Energy'
+'IFlux','cm!u-2!n s!u-1!n', 1,'Integral Flux'
+'DFlux','cm!u-2!n s!u-1!n MeV!u-1!n', 1,'Differential Flux'
+  1.0000E-01,  5.6249E+01,  3.6407E+01
+  1.5000E-01,  5.4498E+01,  3.3650E+01
+  2.0000E-01,  5.2884E+01,  2.8139E+01
+  3.0000E-01,  5.0897E+01,  1.9087E+01
+  4.0000E-01,  4.9067E+01,  1.5006E+01
+  5.0000E-01,  4.7896E+01,  1.1403E+01
+  6.0000E-01,  4.6786E+01,  1.0865E+01
+  7.0000E-01,  4.5723E+01,  1.0565E+01
+  1.0000E+00,  4.2616E+01,  9.3426E+00
+  1.5000E+00,  3.8788E+01,  6.9495E+00
+  2.0000E+00,  3.5667E+01,  5.6931E+00
+  3.0000E+00,  3.1072E+01,  3.8972E+00
+  4.0000E+00,  2.7873E+01,  2.6128E+00
+  5.0000E+00,  2.5847E+01,  1.7887E+00
+  6.0000E+00,  2.4295E+01,  1.2748E+00
+  7.0000E+00,  2.3297E+01,  9.2093E-01
+  1.0000E+01,  2.1228E+01,  5.5396E-01
+  1.5000E+01,  1.9589E+01,  2.7413E-01
+  2.0000E+01,  1.8487E+01,  2.0315E-01
+  3.0000E+01,  1.6804E+01,  1.6215E-01
+  4.0000E+01,  1.5244E+01,  1.4641E-01
+  5.0000E+01,  1.3875E+01,  1.4111E-01
+  6.0000E+01,  1.2421E+01,  1.4029E-01
+  7.0000E+01,  1.1070E+01,  1.2937E-01
+  1.0000E+02,  7.7098E+00,  9.9041E-02
+  1.5000E+02,  3.8373E+00,  5.7465E-02
+  2.0000E+02,  1.9633E+00,  2.9824E-02
+  3.0000E+02,  5.1208E-01,  9.1490E-03
+  4.0000E+02,  1.3353E-01,  0.0000E+00
+'End of Block'
+'*',    75,     1,    33,    37,     3,     3,    30,     0
+'SPENVIS 4.6.10.3403          - 12-May-2022 16:26:20'
+'PRJ_DEF', -1,'DESCSS'
+'PRJ_HDR', -1,' '
+'MOD_ABB', -1,'TRP'
+'MIS_PLA',  1,    3,' '
+'MIS_NTR',  1,    1,' '
+'MIS_STA',  1,  26428.00000000,' '
+'MIS_END',  1,  26793.00000000,' '
+'MIS_DUR',  1, 3.650000E+02,'days'
+'ORB_HDR', -1,' '
+'ORB_TYP', -1,'GEN'
+'ORB_MJD',  1,  26428.00000000,' '
+'ORB_YEA',  1, 2022,' '
+'ORB_MON',  1,  5,' '
+'ORB_DAY',  1, 11,' '
+'ORB_HOU',  1,  0,' '
+'ORB_MIN',  1,  0,' '
+'ORB_SEC',  1,  0.0,' '
+'ORB_APO',  1, 3.938000E+02,'km'
+'ORB_PER',  1, 3.792000E+02,'km'
+'ORB_INC',  1,    41.47,'deg'
+'ORB_RAA',  1,    84.98,'deg'
+'ORB_ARG',  1,   308.15,'deg'
+'ORB_TRA',  1,    44.46,'deg'
+'ORB_PRD',  1, 1.535628E+00,'hrs'
+'ORB_DUR',  1, 3.000000E+01,'days'
+'ORB_TSE',  1,  26793.00000000,' '
+'ORB_AXM',  1,  2,' '
+'ORB_MJR', -1,'1 Jan 1950, 00:00 UT'
+'ORB_GDR', -1,'Astron. J. 66, 15, 1961'
+'TRP_MOD', -1,'AE-8 MAX'
+'TRP_OMN', 1,  1,' '
+'PLT_HDR', -1,'AE-8 MAX Orbit averaged flux'
+'SPECIES',-1,'e-'
+'PS Annotation',  8,  2
+'Mission start: 11/05/2022 00:00:00'
+ 0.05, 0.00, 0.00
+'Mission end: 11/05/2023 00:00:00'
+ 0.95, 0.00, 1.00
+'Nr. of segments:   1'
+ 0.05, 1.50, 0.00
+'Duration: 365.00 days'
+ 0.95, 0.00, 1.00
+'PS Annotation', 24,  1
+'Segment  1:'
+ 0.05, 2.00, 0.00
+'Apogee: 393.8 km'
+ 0.05, 1.50, 0.00
+'Perigee: 379.2 km'
+ 0.50, 0.00, 0.50
+'Inclination: 41.5 deg'
+ 0.95, 0.00, 1.00
+'R.A. Asc. Node: 85.0 deg'
+ 0.05, 1.50, 0.00
+'Arg. Per.: 308.1 deg'
+ 0.50, 0.00, 0.50
+'True Anomaly: 44.5 deg'
+ 0.95, 0.00, 1.00
+'Period: 1.54 hrs'
+ 0.05, 1.50, 0.00
+'Duration: 30.00 days'
+ 0.50, 0.00, 0.50
+'468.86 Orbits'
+ 0.95, 0.00, 1.00
+'Orbit start: 11/05/2022 00:00:00'
+ 0.05, 1.50, 0.00
+'Orbit end: 10/06/2022 00:00:00'
+ 0.95, 0.00, 1.00
+'PS Annotation',  2,  0
+'Trapped electron model: AE-8 MAX'
+ 0.05, 2.00, 0.00
+'Energy','MeV', 1,'Energy'
+'IFlux','cm!u-2!n s!u-1!n', 1,'Integral Flux'
+'DFlux','cm!u-2!n s!u-1!n MeV!u-1!n', 1,'Differential Flux'
+  4.0000E-02,  8.1946E+04,  6.2055E+05
+  1.0000E-01,  4.9550E+04,  4.5929E+05
+  2.0000E-01,  1.7060E+04,  2.1700E+05
+  3.0000E-01,  6.1495E+03,  7.3965E+04
+  4.0000E-01,  2.2670E+03,  2.6562E+04
+  5.0000E-01,  8.3713E+02,  9.0161E+03
+  6.0000E-01,  4.6373E+02,  2.8511E+03
+  7.0000E-01,  2.6691E+02,  1.4556E+03
+  8.0000E-01,  1.7262E+02,  7.6869E+02
+  1.0000E+00,  8.8557E+01,  2.9306E+02
+  1.2500E+00,  5.5059E+01,  1.0847E+02
+  1.5000E+00,  3.4324E+01,  6.4655E+01
+  1.7500E+00,  2.2731E+01,  3.8461E+01
+  2.0000E+00,  1.5093E+01,  2.5204E+01
+  2.2500E+00,  1.0130E+01,  1.6565E+01
+  2.5000E+00,  6.8104E+00,  1.4965E+01
+  2.7500E+00,  2.6473E+00,  1.1534E+01
+  3.0000E+00,  1.0435E+00,  4.6260E+00
+  3.2500E+00,  3.3433E-01,  1.8635E+00
+  3.5000E+00,  1.1176E-01,  5.9872E-01
+  3.7500E+00,  3.4972E-02,  2.1009E-01
+  4.0000E+00,  6.7168E-03,  6.2682E-02
+  4.2500E+00,  3.6308E-03,  1.1339E-02
+  4.5000E+00,  1.0474E-03,  6.6237E-03
+  4.7500E+00,  3.1893E-04,  2.0948E-03
+  5.0000E+00,  0.0000E+00,  8.5048E-04
+  5.5000E+00,  0.0000E+00,  0.0000E+00
+  6.0000E+00,  0.0000E+00,  0.0000E+00
+  6.5000E+00,  0.0000E+00,  0.0000E+00
+  7.0000E+00,  0.0000E+00,  0.0000E+00
+'End of File'

utils/ae9ap9.py

@@ -0,0 +1,48 @@
+import numpy as np
+from matplotlib import pyplot as plt
+
+
+def read_data(file):
+    with open(file, 'r') as f:
+        data = f.readlines()
+    k = 0
+    while data[k][0] == '#':
+        k += 1
+    data = [list(float(s.replace('\n', '').strip()) for s in row.split(',')) for row in data[k:]]
+    return np.array(data)
+
+E_proton = [0.1, 0.2, 0.4, 0.6, 0.8, 1, 2, 4, 6, 8, 10, 15, 20, 30, 50, 60, 80, 100, 150, 200, 300, 400, 700, 1200, 2000]
+E_electron = [0.04, 0.07, 0.1, 0.25, 0.5, 0.75, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 8.5, 10]
+
+data = read_data('assets/AP9_mean_flux.txt')
+proton = [np.mean(data[:, k]) for k in range(4, data.shape[1])]
+
+data = read_data('assets/AE9_mean_flux.txt')
+electron = [np.mean(data[:, k]) for k in range(4, data.shape[1])]
+
+_, ax = plt.subplots(1, 2, dpi=150, figsize=(16, 6))
+
+ax1, ax2 = ax[0], ax[1]
+
+print(proton)
+
+ax1.plot(E_proton, proton)
+ax1.set_ylim([1e-3, 5 * 1e2])
+ax1.set_yscale('log')
+ax1.set_ylabel(r'$Differential\ Flux\ (\mathrm{cm^{-2}s^{-1}})$')
+ax1.set_title('Average spectra - Proton')
+ax1.set_xlabel(r'$Energy\ (\mathrm{MeV})$')
+ax1.set_xlim(1e-1, 2000)
+ax1.set_xscale('log')
+
+ax2.plot(E_electron, electron)
+ax2.set_ylim([1e-3, 1e6])
+ax2.set_yscale('log')
+ax2.set_ylabel(r'$Differential\ Flux\ (\mathrm{cm^{-2}s^{-1}MeV^{-1}})$')
+ax2.set_title('Average spectra - Electron')
+ax2.set_xlabel(r'$Energy\ (\mathrm{MeV})$')
+ax2.set_xlim(0.04, 10)
+ax2.set_xscale('log')
+
+plt.tight_layout()
+plt.savefig('docs/spectra-ep-9')

utils/draw.py

@@ -66,16 +66,16 @@ def GCR(M=1, ax=None):
     else:
         _, ax1 = plt.subplots(1, 1)
 
-    ax1.plot(E, proton_i, label=r'$p$')
+    ax1.plot(E, proton_i, linestyle=':', label=r'$p$')
-    ax1.plot(E, alpha_i, label=r'$\alpha$')
+    ax1.plot(E, alpha_i, linestyle=':', label=r'$\alpha$')
     ax1.set_ylim([1, 5 * 1e2])
     ax1.set_yscale('log')
     ax1.set_ylabel(r'$Integrated\ Flux\ (\mathrm{m^{-2}sr^{-1}s^{-1}})$')
     ax1.legend(loc="upper left")
 
     ax2 = ax1.twinx()
-    ax2.plot(E, proton_d, linestyle=':', label=r'$p$')
+    ax2.plot(E, proton_d, label=r'$p$')
-    ax2.plot(E, alpha_d, linestyle=':', label=r'$\alpha$')
+    ax2.plot(E, alpha_d, label=r'$\alpha$')
     ax2.set_ylim([1e-5, 5 * 1e-2])
     ax2.set_yscale('log')
     ax2.set_ylabel(r'$Differential\ Flux\ (\mathrm{m^{-2}sr^{-1}s^{-1}MeV^{-1}})$')
@@ -101,16 +101,16 @@ def sun():
 
     _, ax1 = plt.subplots(1, 1, dpi=150)
 
-    ax1.plot(E, proton_i, label=r'$p$')
+    ax1.plot(E, proton_i, linestyle=':', label=r'$p$')
-    ax1.plot(E, alpha_i, label=r'$\alpha$')
+    ax1.plot(E, alpha_i, linestyle=':', label=r'$\alpha$')
     ax1.set_ylim([1e-2, 5 * 1e3])
     ax1.set_yscale('log')
     ax1.set_ylabel(r'$Integrated\ Flux\ (\mathrm{cm^{-2}})$')
     ax1.legend(loc="upper left")
 
     ax2 = ax1.twinx()
-    ax2.plot(E, proton_d, linestyle=':', label=r'$p$')
+    ax2.plot(E, proton_d, label=r'$p$')
-    ax2.plot(E, alpha_d, linestyle=':', label=r'$\alpha$')
+    ax2.plot(E, alpha_d, label=r'$\alpha$')
     ax2.set_ylim([1e-5, 5 * 1e0])
     ax2.set_yscale('log')
     ax2.set_ylabel(r'$Differential\ Flux\ (\mathrm{cm^{-2}MeV^{-1}})$')
@@ -124,16 +124,64 @@ def sun():
     plt.savefig('docs/spectra-sun', bbox_inches='tight')
 
 
-# orbit()
+def trapped():
+    data = data_read('assets/trapped.csv')
+    E_proton = [0.1, 0.15, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 1, 1.5, 2, 3, 4, 5, 6, 7, 10, 15, 20, 30, 40, 50, 60, 70, 100, 150, 200, 300, 400]
+    E_electron = [0.04, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5, 5.5, 6, 6.5, 7]
+    proton_i, proton_d = data[0][1]['IFlux'], data[0][1]['DFlux']
+    electron_i, electron_d = data[1][1]['IFlux'], data[1][1]['DFlux']
 
-# fig = plt.figure(figsize=(20, 10), dpi=150)
+    _, ax = plt.subplots(1, 2, dpi=150, figsize=(16, 6))
 
-# GCR(1, fig.add_subplot(1, 2, 1))
+    ax1, ax2 = ax[0], ax[0].twinx()
-# GCR(3, fig.add_subplot(1, 2, 2))
 
-# fig.savefig('docs/spectra.png', bbox_inches='tight')
+    ax1.plot(E_proton, proton_i, linestyle=':')
+    ax1.set_ylim([1e-3, 5 * 1e2])
+    ax1.set_yscale('log')
+    ax1.set_ylabel(r'$Integrated\ Flux\ (\mathrm{cm^{-2}s^{-1}})$')
 
-# GCR(1)
+    ax2.plot(E_proton, proton_d)
-# GCR(3)
+    ax2.set_ylim([1e-3, 5 * 1e2])
+    ax2.set_yscale('log')
+    ax2.set_ylabel(r'$Differential\ Flux\ (\mathrm{cm^{-2}s^{-1}MeV^{-1}})$')
+
+    ax1.set_title('Average spectra - Proton')
+    ax1.set_xlabel(r'$Energy\ (\mathrm{MeV})$')
+    ax1.set_xlim(1e-1, 400)
+    ax1.set_xscale('log')
+
+    ax1, ax2 = ax[1], ax[1].twinx()
+
+    ax1.plot(E_electron, electron_i, linestyle=':')
+    ax1.set_ylim([1e-3, 1e6])
+    ax1.set_yscale('log')
+    ax1.set_ylabel(r'$Integrated\ Flux\ (\mathrm{cm^{-2}s^{-1}})$')
+
+    ax2.plot(E_electron, electron_d)
+    ax2.set_ylim([1e-3, 1e6])
+    ax2.set_yscale('log')
+    ax2.set_ylabel(r'$Differential\ Flux\ (\mathrm{cm^{-2}s^{-1}MeV^{-1}})$')
+
+    ax1.set_title('Average spectra - Electron')
+    ax1.set_xlabel(r'$Energy\ (\mathrm{MeV})$')
+    ax1.set_xlim(0.04, 7)
+    ax1.set_xscale('log')
+
+    plt.tight_layout()
+    plt.savefig('docs/spectra-ep')
+
+
+orbit()
+
+fig = plt.figure(figsize=(16, 6), dpi=150)
+GCR(1, fig.add_subplot(1, 2, 1))
+GCR(3, fig.add_subplot(1, 2, 2))
+fig.tight_layout()
+fig.savefig('docs/spectra.png', bbox_inches='tight')
+
+GCR(1)
+GCR(3)
 
 sun()
+
+trapped()