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@@ -101,6 +101,47 @@
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\item EVVJS
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\end{itemize}
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For each of these trajectories, the optimization algorithm was run. During the MBH phase
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of the optimization algorithm, anytime a new ``basin best'' mission was discovered, it
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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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\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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\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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\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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\section{Faster, Less Efficient Trajectory}
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In order to showcase the flexibility of the optimization algorithm (and the chosen cost
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@@ -120,11 +161,14 @@
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The mission begins in late June of 2024 and proceeds first to an initial gravity assist with
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Mars after three and one half years to rendezvous in mid-December 2027. Unfortunately, the
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launch energy required to effectively use the gravity assist with Mars at this time is
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quite high. The $C_3$ value was found to be $60.4102 \frac{\text{km}^2}{\text{s}^2}$. However,
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for this phase, the thrust magnitudes are quite low, raising slowly only as the spacecraft
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approaches Mars, allowing for a nearly-natural trajectory to Mars rendezvous. Note also that
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the in-plane thrust angle was neither zero nor $\pi$, implying that these thrusts were
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steering thrusts rather than momentum-increasing thrusts.
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quite high. The $C_3$ value was found to be $60.4102 \frac{\text{km}^2}{\text{s}^2}$. While
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not as low as some of the other missions found to be very optimal, it should be noted that
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missions with this $C_3$ and launch mass are still quite feasible.
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However, for this phase, the thrust magnitudes are quite low, raising slowly only as the
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spacecraft approaches Mars, allowing for a nearly-natural trajectory to Mars rendezvous.
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Note also that the in-plane thrust angle was neither zero nor $\pi$, implying that these
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thrusts were steering thrusts rather than momentum-increasing thrusts.
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\begin{figure}[H]
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\centering
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