@article{laguerre_conway, title={An improved algorithm due to Laguerre for the solution of Kepler's equation}, author={Conway, Bruce A}, journal={Celestial mechanics}, volume={39}, number={2}, pages={199--211}, year={1986}, publisher={Springer} } @software{snow, author = {Andrew Ning}, title = {SNOW.jl}, url = {https://github.com/byuflowlab/SNOW.jl}, version = {0.2.0}, date = {2022-02-10}, } @article{RevelsLubinPapamarkou2016, title = {Forward-Mode Automatic Differentiation in {J}ulia}, author = {{Revels}, J. and {Lubin}, M. and {Papamarkou}, T.}, journal = {arXiv:1607.07892 [cs.MS]}, year = {2016}, url = {https://arxiv.org/abs/1607.07892} } @inproceedings{englander2014tuning, title={Tuning monotonic basin hopping: improving the efficiency of stochastic search as applied to low-thrust trajectory optimization}, author={Englander, Jacob A and Englander, Arnold C}, booktitle={International Symposium on Space Flight Dynamics 2014}, number={GSFC-E-DAA-TN14154}, year={2014} } @misc{cassini, title={Cassini Mission Fact Sheet}, author={NASA Jet Propulsion Laboratory}, url={https://solarsystem.nasa.gov/missions/cassini/mission/quick-facts/}, journal={NASA Solar System Exploration}, year={2018} } @inproceedings{polk2001performance, title={Performance of the NSTAR ion propulsion system on the Deep Space One mission}, author={Polk, J and Kakuda, R and Anderson, J and Brophy, J and Rawlin, V and Patterson, M and Sovey, J and Hamley, J}, booktitle={39th Aerospace Sciences Meeting and Exhibit}, pages={965}, year={2001} } @article{stough2021nasa, title={NASA’s Space Launch System: Capabilities for Ultra-High C3 Missions}, author={Stough, Robert W and Robinson, Kimberly F and Holt, James B and Smith, David A and Hitt, W David and Perry, Beverly A}, year={2021} } @article{c3capabilities, author = {Vardaxis, George and Pitz, Alan and Wie, Bong}, year = {2022}, month = {02}, pages = {}, title = {AAS 12-128 CONCEPTUAL DESIGN AND ANALYSIS OF PLANETARY DEFENSE TECHNOLOGY (PDT) DEMONSTRATION MISSIONS} } @article{englander2017automated, title={Automated solution of the low-thrust interplanetary trajectory problem}, author={Englander, Jacob A and Conway, Bruce A}, journal={Journal of Guidance, Control, and Dynamics}, volume={40}, number={1}, pages={15--27}, year={2017}, publisher={American Institute of Aeronautics and Astronautics} } @article{englander2012automated, title={Automated mission planning via evolutionary algorithms}, author={Englander, Jacob A and Conway, Bruce A and Williams, Trevor}, journal={Journal of Guidance, Control, and Dynamics}, volume={35}, number={6}, pages={1878--1887}, year={2012} } @article{brophy2002, author = {Brophy,John R. }, title = {NASA’s Deep Space 1 ion engine (plenary)}, journal = {Review of Scientific Instruments}, volume = {73}, number = {2}, pages = {1071-1078}, year = {2002}, doi = {10.1063/1.1432470}, URL = {https://doi.org/10.1063/1.1432470}, eprint = {https://doi.org/10.1063/1.1432470} } @article{cybulski1965results, title={Results from SERT I ion rocket flight test}, author={Cybulski, Ronald J and Shellhammer, Daniel M and Lovell, Robert R and Domino, Edward J and Kotnik, Joseph T and Cybulski, J and Loveli, Robert R}, year={1965}, publisher={Citeseer} } @article{rayman2006dawn, title={Dawn: A mission in development for exploration of main belt asteroids Vesta and Ceres}, author={Rayman, Marc D and Fraschetti, Thomas C and Raymond, Carol A and Russell, Christopher T}, journal={Acta Astronautica}, volume={58}, number={11}, pages={605--616}, year={2006}, publisher={Elsevier} } @article{benkhoff2010bepicolombo, title={BepiColombo—Comprehensive exploration of Mercury: Mission overview and science goals}, author={Benkhoff, Johannes and Van Casteren, Jan and Hayakawa, Hajime and Fujimoto, Masaki and Laakso, Harri and Novara, Mauro and Ferri, Paolo and Middleton, Helen R and Ziethe, Ruth}, journal={Planetary and Space Science}, volume={58}, number={1-2}, pages={2--20}, year={2010}, publisher={Elsevier} } @book{vallado2001fundamentals, title={Fundamentals of astrodynamics and applications}, author={Vallado, David A}, volume={12}, year={2001}, publisher={Springer Science \& Business Media} } @book{murray1999solar, title={Solar system dynamics}, author={Murray, Carl D and Dermott, Stanley F}, year={1999}, publisher={Cambridge university press} } @techreport{jezewski1975primer, title={Primer vector theory and applications}, author={Jezewski, Donald J}, year={1975} } @article{gill2005snopt, title={SNOPT: An SQP algorithm for large-scale constrained optimization}, author={Gill, Philip E and Murray, Walter and Saunders, Michael A}, journal={SIAM review}, volume={47}, number={1}, pages={99--131}, year={2005}, publisher={SIAM} } @article{wachter2006implementation, title={On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming}, author={W{\"a}chter, Andreas and Biegler, Lorenz T}, journal={Mathematical programming}, volume={106}, number={1}, pages={25--57}, year={2006}, publisher={Springer} } @book{hohmann1960attainability, title={The attainability of heavenly bodies}, author={Hohmann, Walter}, number={44}, year={1960}, publisher={National Aeronautics and Space Administration} } @inproceedings{Casalino2007IndirectOM, title={Indirect Optimization Method for Low-Thrust Interplanetary Trajectories}, author={Lorenzo Casalino and Guido Colasurdo and Matteo Rosa Sentinella}, year={2007} } @article{sims1999preliminary, title={Preliminary design of low-thrust interplanetary missions}, author={Sims, Jonathan and Flanagan, S}, year={1999} } @book{wie1998space, title={Space vehicle dynamics and control}, author={Wie, Bong}, year={1998}, publisher={Aiaa} } @book{bate2020fundamentals, title={Fundamentals of astrodynamics}, author={Bate, Roger R and Mueller, Donald D and White, Jerry E and Saylor, William W}, year={2020}, publisher={Courier Dover Publications} } @article{euler1767motu, title={De motu rectilineo trium corporum se mutuo attrahentium}, author={Euler, Leonhard}, journal={Novi commentarii academiae scientiarum Petropolitanae}, pages={144--151}, year={1767} } @article{cho2017b, title={B-plane targeting method for orbit maneuver using low thrust}, author={Cho, Dong-Hyun and Lee, Donghun and Bang, Hyochoong and Kim, Hae-Dong}, journal={International Journal of Control, Automation and Systems}, volume={15}, number={4}, pages={1729--1737}, year={2017}, publisher={Springer} } @article{negri2020historical, title={A historical review of the theory of gravity-assists in the pre-spaceflight era}, author={Negri, Rodolfo Batista and Prado, Antonio Fernando Bertachini de Almeida}, journal={Journal of the Brazilian Society of Mechanical Sciences and Engineering}, volume={42}, number={8}, pages={1--10}, year={2020}, publisher={Springer} } @techreport{blanchard1969unified, title={A unified form of Lambert's theorem}, author={Blanchard, RC and Lancaster, ER}, year={1969} } @article{jordan1964application, title={The application of lambert's theorem to the solution of interplanetary transfer problems(Lambert theorem applied to solution of interplanetary transfer problems)}, author={JORDAN, JF}, year={1964} } @book{sutton2016rocket, title={Rocket propulsion elements}, author={Sutton, George P and Biblarz, Oscar}, year={2016}, publisher={John Wiley \& Sons} } @article{morante, author = {Morante, David and Sanjurjo Rivo, Manuel and Soler, Manuel}, title = {Multi-Objective Low-Thrust Interplanetary Trajectory Optimization Based on Generalized Logarithmic Spirals}, journal = {Journal of Guidance, Control, and Dynamics}, volume = {42}, number = {3}, pages = {476-490}, year = {2019}, doi = {10.2514/1.G003702}, URL = {https://doi.org/10.2514/1.G003702}, eprint = {https://doi.org/10.2514/1.G003702}, abstract = { The multi-objective optimal design of low-thrust multigravity-assist trajectories is formulated within the hybrid optimal control framework. A new automated solution strategy for this problem is proposed in this Paper based on a two-step algorithm. In the first step, the trajectory is assumed to be a generalized logarithmic spiral. A heuristic global search algorithm combined with nonlinear programming are in charge of optimizing the set of parameters defining the spirals as well as the number, sequence, and configuration of the gravity assists. In the second step, candidate solutions are regarded as initial guesses for a direct collocation method, in which the problem is transcribed into a nonlinear programming problem by discretization, considering the full dynamics and the complete set of constraints. The presented approach is tested on a rendezvous mission to the asteroid Ceres, allowing a Mars flyby, and on a flyby mission to Jupiter, allowing multiple flybys on different bodies. Pareto-optimal solutions in terms of time of flight and propellant mass consumed are obtained for both cases. Results outperform those found in the literature in terms of optimality while showing the effectiveness of the proposed methodology to generate quick performance estimates for preliminary studies and accurate solutions for the detailed design. } } @inbook{sims2006, author = {Jon Sims and Paul Finlayson and Edward Rinderle and Matthew Vavrina and Theresa Kowalkowski}, title = {Implementation of a Low-Thrust Trajectory Optimization Algorithm for Preliminary Design}, booktitle = {AIAA/AAS Astrodynamics Specialist Conference and Exhibit}, chapter = {}, pages = {}, doi = {10.2514/6.2006-6746}, URL = {https://arc.aiaa.org/doi/abs/10.2514/6.2006-6746}, eprint = {https://arc.aiaa.org/doi/pdf/10.2514/6.2006-6746} } @article{battin1984elegant, title={An elegant Lambert algorithm}, author={Battin, Richard H and Vaughan, Robin M}, journal={Journal of Guidance, Control, and Dynamics}, volume={7}, number={6}, pages={662--670}, year={1984} } @article{wales1997global, title={Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms}, author={Wales, David J and Doye, Jonathan PK}, journal={The Journal of Physical Chemistry A}, volume={101}, number={28}, pages={5111--5116}, year={1997}, publisher={ACS Publications} }