# Elevation Angle Characterization for LEO Satellites: First and Second Order Statistics
## Appendix A
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\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c} \hline \hline \multicolumn{11}{c}{**Shape parameter, \(a\)**} \\ \hline  & \multicolumn{1}{c}{20\({}^{\circ}\)} & \multicolumn{1}{c}{25\({}^{\circ}\)} & \multicolumn{1}{c}{30\({}^{\circ}\)} & \multicolumn{1}{c}{35\({}^{\circ}\)} & \multicolumn{1}{c}{40\({}^{\circ}\)} & \multicolumn{1}{c}{45\({}^{\circ}\)} & \multicolumn{1}{c}{50\({}^{\circ}\)} & \multicolumn{1}{c}{55\({}^{\circ}\)} & \multicolumn{1}{c}{60\({}^{\circ}\)} & \multicolumn{1}{c}{65\({}^{\circ}\)} & \multicolumn{1}{c}{70\({}^{\circ}\)} & \multicolumn{1}{c}{75\({}^{\circ}\)} & \multicolumn{1}{c}{80\({}^{\circ}\)} & \multicolumn{1}{c}{85\({}^{\circ}\)} \\ \hline \(0^{\circ}\) & 2.1133 & 2.0407 & 1.8663 & 1.8277 & 1.6515 & 1.7151 & 1.7434 & 1.7543 & 1.7634 & 1.7690 & 1.7733 & 1.7757 & 1.7747 & 1.7801 \\ \(5^{\circ}\) & 2.2236 & 2.1664 & 1.9608 & 1.6623 & 1.6910 & 1.7328 & 1.7511 & 1.7601 & 1.7697 & 1.7742 & 1.7707 & 1.7779 & 1.7768 & 1.7748 \\ \(10^{\circ}\) & 1.8464 & 1.7634 & 1.9054 & 1.9463 & 1.8627 & 1.8681 & 1.7180 & 1.7460 & 1.7568 & 1.7711 & 1.7679 & 1.7719 & 1.7718 & 1.7738 \\ \(15^{\circ}\) & 1.5715 & 1.7152 & 1.8664 & 1.9610 & 1.9725 & 1.8702 & 1.6873 & 1.7189 & 1.7443 & 1.7574 & 1.7629 & 1.7669 & 1.7668 & 1.7698 \\ \(20^{\circ}\) & 1.6176 & 1.6821 & 1.7717 & 1.8939 & 1.9824 & 1.9815 & 1.8733 & 1.8662 & 1.7153 & 1.7485 & 1.7528 & 1.7886 & 1.7621 & 1.7578 \\ \(25^{\circ}\) & NAN & 1.6675 & 1.6277 & 1.7869 & 1.9111 & 1.9917 & 1.8782 & 1.6667 & 1.7271 & 1.7421 & 1.7518 & 1.7559 & 1.7621 \\ \(30^{\circ}\) & NAN & NAN & 1.6781 & 1.6874 & 1.7922 & 1.9143 & 1.9936 & 1.9985 & 1.8457 & 1.6893 & 1.7104 & 1.7379 & 1.7463 & 1.7527 \\ \(35^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6879 & 1.9211 & 1.9905 & 1.9984 & 1.8674 & 1.6807 & 1.7433 & 1.7237 \\ \(40^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & 1.6861 & 1.6955 & 1.7996 & 1.9118 & 1.9194 & 1.9157 & 1.9646 & 1.6827 & 1.6813 & 1.6952 \\ \(50^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.9584 & 1.6849 & 1.6924 & 1.7925 & 1.9092 & 1.9715 & 1.9623 & 1.8499 & 1.6713 \\ \(55^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6842 & 1.6870 & 1.7886 & 1.8887 & 1.9512 & 1.9321 & 1.8113 & 1.8135 & 1.8204 & 1.7091 \\ \(60^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6638 & 1.7269 & 1.8201 & 1.8943 & 1.9451 & 1.8130 & 1.8361 & 1.7091 \\ \(65^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6635 & 1.7296 & 1.9201 & 1.9743 & 1.9451 & 1.8060 & 1.6291 \\ \(70^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6700 & 1.6776 & 1.7929 & 1.9948 & 1.9580 & 1.9234 & 1.7826 \\ \(60^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6663 & 1.7608 & 1.7682 & 1.8697 & 1.9903 & 1.7970 \\ \(65^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.63864 & 1.7219 & 1.7717 & 1.9728 & 1.7713 & 1.7928 \\ \(70^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6977 & 1.5173 & 1.7882 & 2.0709 \\ \(75^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6951 & 1.8994 & 1.8924 & 1.8726 \\ \(80^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6951 & 1.8999 & 1.8709 & 1.8709 & 1.8709 \\ \(85^{\circ}\) & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & NAN & 1.6957 & 1.8782 & 2.0709 & 1.8739 & 1.8992 & 1.8709 \\ \hline \multicolumn{11}{c}{**Rate parameter, \(b\times 10^{-2}\)**} \\ \hline  & \multicolumn{11}{c}{20\({}^{\circ}\)} & \multicolumn{1}{c}{25\({}^{\circ}\)} & \multicolumn{1}{c}{30\({}^{\circ}\)} & \multicolumn{1}{c}{35\({}^{\circ}\)} & \multicolumn{1}{c}{40\({}^{\circ}\)} & \multicolumn{1}{c}{45\({}^{\circ}\)} & \multicolumn{1}{c}{50\({}^{\circ}\)} & \multicolumn{1}{c}{55\({}^{\circ}\)} & \multicolumn{1}{c}{60\({}^{\circ}\)} & \multicolumn{1}{c}{65\({}^{\circ}\)} & \multicolumn{1}{c}{70\({}^{\circ}\)} & \multicolumn{1}{c}{75\({}^{\circ}\)} & \multicolumn{1}{c}{80\({}^{\circ}\)} & \multicolumn{1}{c}{85\({}^{\circ}\)} \\ \hline \(0^{\circ}\) & 8.8196 & 9.3308 & 9.1861 & 9.2502 & 8.5489 & 8.5670 & 8.5293 & 8.5009 & 8.4807 & 8.4811 & 8.4812 & 8.4660 & 8.4518 & 8.4567 \\ \(5^{\circ}\) & 9.3468 & 10.1067 & 9.8322 & 8.6449 & 8.6084 & 8.5605 & 8.5380 & 8.5164 & 8.4966 & 8.4759 & 8.4807 &  
\begin{table}
\begin{tabular}{c|c c c c c c c c c c c c c c c} \hline \hline \multicolumn{11}{c}{**Weight matrix, \(w_{a}\)**} \\ \hline \multicolumn{11}{c}{**Cbfit inclination, \(i\)**} \\ \hline \multicolumn{11}{c}{**Cbfit inclination, \(i\)**} \\ \multicolumn{11}{c}{**Cbfit inclination, \(i\)**} \\ \multicolumn{11}{c}{**Cbfit inclination, \(i\)**} \\ \multicolumn{11}{c}{**Cbfit inclination, \(i\)**} \\ \multicolumn{11}{c}{**Cbfit inclination, \(20^{\circ}\)**} & \(25^{\circ}\) & \(30^{\circ}\) & \(35^{\circ}\) & \(40^{\circ}\) & \(45^{\circ}\) & \(50^{\circ}\) & \(55^{\circ}\) & \(60^{\circ}\) & \(65^{\circ}\) & \(70^{\circ}\) & \(75^{\circ}\) & \(80^{\circ}\) & \(85^{\circ}\) \\ \hline \(0^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(5^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(10^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(10^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(15^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(20^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(25^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(30^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(35^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(40^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(45^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(50^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(55^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(60^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(65^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(70^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(80^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \(85^{\circ}\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) & \(1\) \\ \hline \multicolumn{11}{c}{**Weight matrix, \(w_{b}\)**} \\ \multicolumn{11}{c