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@@ -20,7 +20,7 @@
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same zone as that of the Cassini spacecraft, which launched with 5712 kilograms of total
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mass, with the fuel accounting for 2978 of those kilograms\cite{cassini}. The dry mass of
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the spacecraft was chosen to be extremely low in order to allow for a variety of
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''successful`` missions in which the spacecraft didn't run out of fuel. That way, the
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``successful'' missions in which the spacecraft didn't run out of fuel. That way, the
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delivered dry mass to Saturn could be thought of as a metric of success, without discounting
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mission that may have delivered just under whatever more realistic dry mass one might set,
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in case those missions are in the vicinity of actually valid missions.
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@@ -106,41 +106,71 @@
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was recorded. The resultant cost function values of each of those discovered missions
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can be found in the table below:
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\begin{table}[H]
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\centering
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\begin{adjustbox}{height=0.3\textheight}
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\begin{tabular}{ | c c c c | }
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\begin{longtable}{
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>{\centering}p{0.75in}
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>{\centering}p{1.25in}
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>{\centering}p{1.1in}
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>{\centering}p{1in}
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>{\centering}p{0.8in}
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>{\centering\arraybackslash}p{0.8in}
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}
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\hline
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\bfseries Flyby Selection &
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\bfseries Cost Function Value &
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\bfseries Flyby Selection &
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\bfseries Cost Function Value \\
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\bfseries Mass Delivered (kg) &
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\bfseries Time of Flight (years) &
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\bfseries Launch $C_3$ ($\frac{\text{km}^2}{\text{s}^2}$) &
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\bfseries Arrival $V_\infty$ Norm \\
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\hline
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EMS & 0.64797 & EMJS & 0.66014 \\
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EMS & 0.68828 & EMS & 0.69704 \\
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EMJS & 0.74576 & EMJS & 0.79745 \\
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EMJS & 0.80372 & EMJS & 0.82510 \\
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EMMJS & 0.91149 & EMJS & 0.94148 \\
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EMJS & 0.96141 & EMS & 1.02972 \\
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EJS & 1.12848 & ES & 1.23167 \\
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EVMS & 1.32600 & EMS & 1.32879 \\
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EMS & 1.33779 & EMJS & 1.39527 \\
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EVMS & 1.41517 & EVMS & 1.45960 \\
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EVMS & 1.46649 & EVMS & 1.52207 \\
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EVMS & 1.59234 & EVMJS & 1.66943 \\
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EMS & 1.70295 & EMJS & 1.70438 \\
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EMS & 1.78107 & EVVJS & 2.0106 \\
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EMJS & 2.15952 & EJS & 2.16216 \\
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EMJS & 2.22167 & EMMJS & 2.38431 \\
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EMJS & 2.42457 & EMMJS & 2.46453 \\
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EVVJS & 2.49257 & EMJS & 2.49485 \\
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EVMS & 2.71118 & EMJS & 2.76812 \\
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\endhead
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ES & 0.555 & 3423.49 & 5.945 & 97.89 & 0.009 \\
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ES & 0.5551 & 3422.41 & 5.945 & 97.73 & 0.0 \\
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ES & 0.5553 & 3425.31 & 5.897 & 98.26 & 0.0 \\
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ES & 0.561 & 3403.47 & 5.945 & 95.65 & 0.0 \\
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ES & 0.5612 & 3406.47 & 5.894 & 96.22 & 0.002 \\
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EMS & 0.648 & 3130.77 & 8.451 & 66.3 & 6.391 \\
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EMJS & 0.6601 & 2962.65 & 14.107 & 39.91 & 3.636 \\
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EMS & 0.6883 & 3004.49 & 9.229 & 52.71 & 4.245 \\
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EMS & 0.697 & 3037.04 & 7.984 & 60.04 & 6.021 \\
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EMJS & 0.7458 & 2837.9 & 14.036 & 35.65 & 4.816 \\
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EMJS & 0.7975 & 1905.95 & 12.99 & 16.92 & 2.686 \\
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EMJS & 0.8037 & 2652.62 & 13.793 & 15.48 & 3.209 \\
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EMJS & 0.8251 & 2760.39 & 13.857 & 38.23 & 3.818 \\
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EMMJS & 0.9115 & 2528.08 & 15.853 & 15.68 & 3.189 \\
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EMJS & 0.9415 & 2484.97 & 16.33 & 14.29 & 2.021 \\
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EMJS & 0.9614 & 2511.65 & 15.756 & 22.85 & 3.393 \\
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EMS & 1.0297 & 1655.14 & 10.412 & 3.18 & 4.529 \\
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EJS & 1.1285 & 1734.51 & 15.725 & 41.98 & 2.595 \\
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ES & 1.2317 & 1639.1 & 9.248 & 39.72 & 5.785 \\
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EVMS & 1.326 & 2241.72 & 8.87 & 49.49 & 4.977 \\
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EMS & 1.3288 & 1400.47 & 7.843 & 1.87 & 5.634 \\
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EMS & 1.3378 & 2705.69 & 15.848 & 131.39 & 5.151 \\
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EMJS & 1.3953 & 1904.96 & 13.813 & 5.62 & 5.146 \\
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EVMS & 1.4152 & 1963.98 & 11.315 & 19.72 & 9.117 \\
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EVMS & 1.4596 & 1963.09 & 11.885 & 28.45 & 6.7 \\
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EVMS & 1.4665 & 1915.47 & 11.691 & 21.67 & 8.919 \\
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EVMS & 1.5221 & 1966.29 & 12.002 & 41.49 & 7.085 \\
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EVMS & 1.5923 & 1811.71 & 7.612 & 29.05 & 8.892 \\
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EVMJS & 1.6694 & 2324.68 & 14.203 & 132.4 & 5.346 \\
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EMS & 1.7029 & 1652.8 & 12.064 & 23.93 & 8.898 \\
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EMJS & 1.7044 & 1687.48 & 17.45 & 30.16 & 6.148 \\
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EMS & 1.7811 & 1504.33 & 18.067 & 14.1 & 3.195 \\
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EVVJS & 2.0106 & 1362.61 & 14.71 & 35.72 & 6.315 \\
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EMJS & 2.1595 & 1026.4 & 17.548 & 7.86 & 7.977 \\
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EJS & 2.1622 & 1543.52 & 12.96 & 97.03 & 9.42 \\
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EMJS & 2.2217 & 2055.3 & 21.583 & 196.67 & 2.074 \\
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EMMJS & 2.3843 & 730.68 & 14.754 & 2.12 & 6.915 \\
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EMJS & 2.4246 & 1470.46 & 24.186 & 136.99 & 1.749 \\
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EMMJS & 2.4645 & 971.97 & 16.935 & 59.53 & 7.34 \\
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EVVJS & 2.4926 & 908.6 & 15.287 & 54.28 & 3.942 \\
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EMJS & 2.4948 & 872.56 & 12.943 & 48.55 & 8.548 \\
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EVMS & 2.7112 & 726.4 & 12.263 & 66.76 & 9.478 \\
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EMJS & 2.7681 & 496.32 & 16.0 & 38.71 & 10.348 \\
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\hline
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\end{tabular}
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\end{adjustbox}
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\caption{Table of resultant cost function values for every discovered mission}
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\label{cost_fn_table}
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\end{table}
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\caption{Table of resultant cost function values for every discovered mission}\label{cost_fn_table}\\
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\end{longtable}
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\section{Faster, Less Efficient Trajectory}
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