\begin{thebibliography}{10} \bibitem{bate2020fundamentals} Roger~R Bate, Donald~D Mueller, Jerry~E White, and William~W Saylor. \newblock {\em Fundamentals of astrodynamics}. \newblock Courier Dover Publications, 2020. \bibitem{battin1984elegant} Richard~H Battin and Robin~M Vaughan. \newblock An elegant lambert algorithm. \newblock {\em Journal of Guidance, Control, and Dynamics}, 7(6):662--670, 1984. \bibitem{benkhoff2010bepicolombo} Johannes Benkhoff, Jan Van~Casteren, Hajime Hayakawa, Masaki Fujimoto, Harri Laakso, Mauro Novara, Paolo Ferri, Helen~R Middleton, and Ruth Ziethe. \newblock Bepicolombo—comprehensive exploration of mercury: Mission overview and science goals. \newblock {\em Planetary and Space Science}, 58(1-2):2--20, 2010. \bibitem{blanchard1969unified} RC~Blanchard and ER~Lancaster. \newblock A unified form of lambert's theorem. \newblock Technical report, 1969. \bibitem{brophy2002} John~R. Brophy. \newblock Nasa’s deep space 1 ion engine (plenary). \newblock {\em Review of Scientific Instruments}, 73(2):1071--1078, 2002. \bibitem{Casalino2007IndirectOM} Lorenzo Casalino, Guido Colasurdo, and Matteo~Rosa Sentinella. \newblock Indirect optimization method for low-thrust interplanetary trajectories. \newblock 2007. \bibitem{cho2017b} Dong-Hyun Cho, Donghun Lee, Hyochoong Bang, and Hae-Dong Kim. \newblock B-plane targeting method for orbit maneuver using low thrust. \newblock {\em International Journal of Control, Automation and Systems}, 15(4):1729--1737, 2017. \bibitem{laguerre_conway} Bruce~A Conway. \newblock An improved algorithm due to laguerre for the solution of kepler's equation. \newblock {\em Celestial mechanics}, 39(2):199--211, 1986. \bibitem{cybulski1965results} Ronald~J Cybulski, Daniel~M Shellhammer, Robert~R Lovell, Edward~J Domino, Joseph~T Kotnik, J~Cybulski, and Robert~R Loveli. \newblock Results from sert i ion rocket flight test. \newblock 1965. \bibitem{englander2017automated} Jacob~A Englander and Bruce~A Conway. \newblock Automated solution of the low-thrust interplanetary trajectory problem. \newblock {\em Journal of Guidance, Control, and Dynamics}, 40(1):15--27, 2017. \bibitem{englander2012automated} Jacob~A Englander, Bruce~A Conway, and Trevor Williams. \newblock Automated mission planning via evolutionary algorithms. \newblock {\em Journal of Guidance, Control, and Dynamics}, 35(6):1878--1887, 2012. \bibitem{englander2014tuning} Jacob~A Englander and Arnold~C Englander. \newblock Tuning monotonic basin hopping: improving the efficiency of stochastic search as applied to low-thrust trajectory optimization. \newblock In {\em International Symposium on Space Flight Dynamics 2014}, number GSFC-E-DAA-TN14154, 2014. \bibitem{euler1767motu} Leonhard Euler. \newblock De motu rectilineo trium corporum se mutuo attrahentium. \newblock {\em Novi commentarii academiae scientiarum Petropolitanae}, pages 144--151, 1767. \bibitem{gill2005snopt} Philip~E Gill, Walter Murray, and Michael~A Saunders. \newblock Snopt: An sqp algorithm for large-scale constrained optimization. \newblock {\em SIAM review}, 47(1):99--131, 2005. \bibitem{hohmann1960attainability} Walter Hohmann. \newblock {\em The attainability of heavenly bodies}. \newblock Number~44. National Aeronautics and Space Administration, 1960. \bibitem{jezewski1975primer} Donald~J Jezewski. \newblock Primer vector theory and applications. \newblock Technical report, 1975. \bibitem{jordan1964application} JF~JORDAN. \newblock The application of lambert's theorem to the solution of interplanetary transfer problems(lambert theorem applied to solution of interplanetary transfer problems). \newblock 1964. \bibitem{cassini} NASA Jet~Propulsion Laboratory. \newblock Cassini mission fact sheet, 2018. \bibitem{morante} David Morante, Manuel Sanjurjo~Rivo, and Manuel Soler. \newblock Multi-objective low-thrust interplanetary trajectory optimization based on generalized logarithmic spirals. \newblock {\em Journal of Guidance, Control, and Dynamics}, 42(3):476--490, 2019. \bibitem{murray1999solar} Carl~D Murray and Stanley~F Dermott. \newblock {\em Solar system dynamics}. \newblock Cambridge university press, 1999. \bibitem{negri2020historical} Rodolfo~Batista Negri and Antonio Fernando Bertachini de~Almeida Prado. \newblock A historical review of the theory of gravity-assists in the pre-spaceflight era. \newblock {\em Journal of the Brazilian Society of Mechanical Sciences and Engineering}, 42(8):1--10, 2020. \bibitem{snow} Andrew Ning. \newblock Snow.jl. \bibitem{polk2001performance} J~Polk, R~Kakuda, J~Anderson, J~Brophy, V~Rawlin, M~Patterson, J~Sovey, and J~Hamley. \newblock Performance of the nstar ion propulsion system on the deep space one mission. \newblock In {\em 39th Aerospace Sciences Meeting and Exhibit}, page 965, 2001. \bibitem{rayman2006dawn} Marc~D Rayman, Thomas~C Fraschetti, Carol~A Raymond, and Christopher~T Russell. \newblock Dawn: A mission in development for exploration of main belt asteroids vesta and ceres. \newblock {\em Acta Astronautica}, 58(11):605--616, 2006. \bibitem{RevelsLubinPapamarkou2016} J.~{Revels}, M.~{Lubin}, and T.~{Papamarkou}. \newblock Forward-mode automatic differentiation in {J}ulia. \newblock {\em arXiv:1607.07892 [cs.MS]}, 2016. \bibitem{sims2006} Jon Sims, Paul Finlayson, Edward Rinderle, Matthew Vavrina, and Theresa Kowalkowski. \newblock {\em Implementation of a Low-Thrust Trajectory Optimization Algorithm for Preliminary Design}. \bibitem{sims1999preliminary} Jonathan Sims and S~Flanagan. \newblock Preliminary design of low-thrust interplanetary missions. \newblock 1999. \bibitem{stough2021nasa} Robert~W Stough, Kimberly~F Robinson, James~B Holt, David~A Smith, W~David Hitt, and Beverly~A Perry. \newblock Nasa’s space launch system: Capabilities for ultra-high c3 missions. \newblock 2021. \bibitem{sutton2016rocket} George~P Sutton and Oscar Biblarz. \newblock {\em Rocket propulsion elements}. \newblock John Wiley \& Sons, 2016. \bibitem{vallado2001fundamentals} David~A Vallado. \newblock {\em Fundamentals of astrodynamics and applications}, volume~12. \newblock Springer Science \& Business Media, 2001. \bibitem{c3capabilities} George Vardaxis, Alan Pitz, and Bong Wie. \newblock Aas 12-128 conceptual design and analysis of planetary defense technology (pdt) demonstration missions. \newblock 02 2022. \bibitem{wachter2006implementation} Andreas W{\"a}chter and Lorenz~T Biegler. \newblock On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. \newblock {\em Mathematical programming}, 106(1):25--57, 2006. \bibitem{wales1997global} David~J Wales and Jonathan~PK Doye. \newblock Global optimization by basin-hopping and the lowest energy structures of lennard-jones clusters containing up to 110 atoms. \newblock {\em The Journal of Physical Chemistry A}, 101(28):5111--5116, 1997. \bibitem{wie1998space} Bong Wie. \newblock {\em Space vehicle dynamics and control}. \newblock Aiaa, 1998. \end{thebibliography}