## 4 Rapid Prognostic Model Validation and Analysis
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Type**} & \multirow{2}{*}{**L**} & \multirow{2}{*}{**H**} & \multirow{2}{*}{**S1**} & \multirow{2}{*}{**S2**} & \multirow{2}{*}{**K1**} & \multirow{2}{*}{**K2**} & \multirow{2}{*}{**Bs**} & \multirow{2}{*}{**Bh**} & \multicolumn{2}{c}{**Rapid**} & \multicolumn{2}{c}{**Monte**} & \multirow{2}{*}{**Angular**} \\  & & & & & & & & & **Cargo Model** & & **Method** & **Error** \\  & & & & & & & & & **Results** & & & \\ \hline \multirow{4}{*}{planar configuration} & 121 & 1003 & 998 & - & - & - & 0 & 0 & 0.799 & 0.797 & 0.002 \\  & 148 & 983 & 211 & - & - & - & 0 & 0 & 0.45 & 0.449 & 0.001 \\  & 99 & 995 & 1033 & - & - & - & 0 & 0 & 0.824 & 0.827 & \(-\)0.003 \\  & 201 & 1012 & 195 & - & - & - & 1 & 0 & 0.027 & 0.027 & 0 \\  & 387 & 987 & 401 & - & - & - & 2 & 2 & 0.001 & 0.001 & 0 \\ \hline \multirow{4}{*}{cylindrical configuration} & 103 & 805 & 908 & - & 0.001 & - & 0 & 0 & 0.792 & 0.790 & 0.002 \\  & 100 & 404 & 733 & - & 0.001 & - & 0 & 0 & 0.694 & 0.695 & \(-\)0.001 \\  & 231 & 374 & 1010 & - & 0.001 & - & 0 & 1 & 0.139 & 0.139 & 0 \\  & 110 & 442 & 182 & - & 0.003 & - & 1 & 0 & 0.138 & 0.138 & 0 \\  & 229 & 479 & 167 & - & 0.003 & - & 2 & 0 & 0.042 & 0.042 & 0 \\ \hline \multirow{4}{*}{circular truncated conic configuration} & 106 & 849 & 471 & 1107 & 0.002 & 0.001 & 0 & 0 & 0.776 & 0.778 & \(-\)0.002 \\  & 112 & 575 & 389 & 1093 & 0.003 & 0.001 & 0 & 0 & 0.718 & 0.716 & 0.002 \\ \cline{1-1}  & 253 & 998 & 143 & 333 & 0.002 & 0.001 & 1 & 0 & 0.032 & 0.032 & 0 \\ \cline{1-1}  & 341 & 332 & 222 & 532 & 0.002 & 0.001 & 0 & 1 & 0.082 & 0.082 & 0 \\ \cline{1-1}  & 308 & 321 & 442 & 686 & 0.002 & 0.001 & 2 & 2 & 0.002 & 0.002 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Comparison of results from rapid prognostic model and Monte Carlo methods. Figure 6: Spacecraft partition number. spacecraft partition with bias = (0,0) are much larger than those of the other spacecraft partitions, i.e., the orthogonal spacecraft partition receives the majority of the energy from the corresponding infrared cage partition; (2) the angular coefficients of the orthogonal spacecraft partition decrease gradually with the increase in the spacing, and the angular coefficients of the surrounding spacecraft partitions increase, which indicates that the further the distance between the infrared cage partition and the spacecraft partition, the greater the angular coefficients of the infrared cage partition; (3) the relationship between the sum of all the angular coefficients of all the 5 \(\times\) 5 partitions in Figure 6 and the spacing is compared, as shown in the blue-green curve in Figure 7, where it can be seen that the sum of the angular coefficients decreases with the increase of the spacing, which indicates that under the condition of a certain area of the heated and illuminated surfaces, the bigger the spacing is, the more the energy leaks out of the illuminated surfaces. Similarly, the variation rule of the angular coefficients with altitude or arc length is obtained, as shown in Figure 8, and the results of the rapid prognostic model are also very close to those of the Monte Carlo method. In addition, it is found that (1) the angular coefficients of the directly opposite spacecraft partitions are also much larger than those of the other spacecraft partitions; (2) the angular coefficients of the directly opposite spacecraft partitions gradually increase with the increase in the altitude or the arc length and the angular coefficients of the surrounding spacecraft partitions gradually decrease, which shows that the larger the partition area is, the smaller is the ratio of the energy dissipated to the outside of the directly opposite partition; (3) the sum of the angular coefficients of all the 5 \(\times\) 5 partitions increases with the increase in the altitude or the arc length; i.e., with the increase of partition area, the energy dissipation gradually decreases, but there is always some energy loss.