CONCLUSION AND FUTURE WORK
5.2 Future work
5.2.7 Validation of trajectories
While the three-body problem is a good model for rapid prototyping traje-cotries and building intuition, higher fidelity models are necessary to evalu-ate the feasibility of these trajectories in real world scenarios. Firstly, these trajectories must be optimized in a full ephmeris model with additional per-turbations such as solar radiation pressure (SRP) and J2 perper-turbations for the Earth, Jupiter etc. Secondly, these trajectories must be evaluated in a flight ready mission analysis tool like NASA GSFC’s General Mission Anal-ysis Tool (GMAT) [33]. GMAT is a space mission design software system that includes high-fidelity space system models, local optimization and tar-geting capabilities, as well as user features like the fully-featured interactive Graphical User Interface (GUI) with customizable plots, reports and data products. Having the ability to port trajectories to GMAT is an important feature that will validate the trajectories generated in simpler models.
BIBLIOGRAPHY
[1] Vishwa Shah, Ryne Beeson, and Victoria Coverstone. “A Method for Optimizing Low-Energy Transfers in the Earth-Moon System using Global Transport and Genetic Algorithms”. In: AIAA/AAS Astrody-namics Specialist Conference (SPACE 2016). Long Beach, CA, Sept.
2016, pp. 1–18.
[2] Vishwa Shah, Ryne Beeson, and Victoria Coverstone. “Automated Global Optimization of Multi-Phase Trajectories in the Three-Body Problem using a Variable Chromosome Transcription”. In: AAS/AIAA Space Flight Mechanics Conference. San Antonio, TX, Feb. 2017.
[3] R. W. Farquhar. “The Flight of ISEE-3/ICE: Origins, Mission History, and a Legacy”. In: Journal of Astronautical Science 49.1 (Jan. 2001), pp. 23–73.
[4] S. B. Broschart, M. J. Chung, S. J. Hatch, et al. “Preliminary Trajec-tory Design for the ARTEMIS Lunar Mission”. In: AAS/AIAA Astro-dynamics Speacilist Conference. Aug. 2009.
[5] M.W. Lo, B.G. Williams, W.E. Bollman, et al. “Genesis mission de-sign”. In: Journal of Astronautical Science 49.1 (2001), pp. 169–184.
[6] Jacob A. Englander and Bruce A. Conway. “An Automated Solution of the Low-Thrust Interplanetary Trajectory Problem”. In: Journal of Guidance, Control, and Dynamics 40.1 (2017), pp. 15–27. issn: 0731-5090. doi: 10.2514/1.G002124.
[7] Martin W. Lo and Roby S. Wilson. “The The LTool Package”. In:
(2002).
[8] A. Haapla, M. Vaquero, T. Paylak, et al. “Trajectory Selection Strategy for Tours in teh Earth-Moon System”. In: (Aug. 2013).
[9] Christian M. Chilan and Bruce a. Conway. “Automated Design of Mul-tiphase Space Missions Using Hybrid Optimal Control”. In: Journal of Guidance, Control, and Dynamics 36.5 (2013), pp. 1410–1424. issn:
0731-5090. doi: 10.2514/1.58766. url: http://arc.aiaa.org/doi/
abs/10.2514/1.58766.
[10] Matteo Rosa Sentinella and Lorenzo Casalino. “Hybrid Evolutionary Algorithm for the Optimization of Interplanetary Trajectories”. In:
Journal of Spacecraft and Rockets 46.2 (2009), pp. 365–372. issn: 0022-4650. doi: 10.2514/1.38440.
[11] Jacob Englander. “Automated Trajectory Planning for Multiple-Flyby Interplanetary Missions”. PhD thesis. University of Illinois at Urbana-Champaign, 2013.
[12] Joshua Aurich, Ryne Beeson, and Victoria Coverstone. “Automated Detection of Invariant Manifold Intersections Using Adaptive Grid Method”.
In: AIAA/AAS Astrodynamics Specialist Conference (SPACE 2016).
Long Beach, CA, Sept. 2016, pp. 1–18.
[13] Ryne Beeson, Devin Bunce, and Victoria Coverstone. “Approximation Methods for Quick Evaluation of Invariant Manifolds During Global Optimization”. In: AIAA/AAS Astrodynamics Specialist Conference (SPACE 2016). Long Beach, CA, Sept. 2016, pp. 1–15.
[14] Wang Sang Koon, Martin W Lo, Jerrold E Marsden, et al. “Dynamical systems, the three-body problem and space mission design”. In: 21 (2008), p. 9.
[15] D. J. Dichmann, J. Doedel, and R. C. Paffenroth. “The Computation of Periodic Solutions of the 3-Body Problem using the Numerical Con-tinuation Software Auto”. In: International Conference on Libration Point Orbits and Applications (2002).
[16] Jeffrey S. Parker and Rodney L. Anderson. “Low-Energy Lunar Tra-jectory Design”. In: Low-Energy Lunar TraTra-jectory Design July (2014), pp. 1–396. doi: 10.1002/9781118855065.
[17] F Zazzera, F Topputo, and Massari M. “Assessment of Mission Design Including Utilization of Libration Points and Weak Stability Bound-aries”. In: ESA Report (2004).
[18] Haijun Peng, Biaosong Chen, and Zhigang Wu. “Multi-objective trans-fer to libration-point orbits via the mixed low-thrust and invariant-manifold approach”. In: Nonlinear Dynamics 77.1-2 (2014), pp. 321–
338. issn: 0924090X. doi: 10.1007/s11071-014-1296-2.
[19] M. A. Vavrina and K.C. Howell. “Multiobjective Optimization of Low-Thrust Trajectories Using a Genetic Algorithm Hybrid”. In: Engineer-ing.Purdue.Edu (), pp. 1–20. url: https://engineering.purdue.
edu / people / kathleen . howell . 1 / Publications / Conferences / VavHow-AAS%7B%5C_%7D09.pdf.
[20] Deb K., A. Pratap, S. Agarwal, et al. “A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II”. In: IEEE Transactions on Evolutionary Computation (2002).
[21] V. Coverstone, J. Hartman, and W. Mason. “Optimal Multi-Objective Low-Thrust Spacecraft Trajectories”. In: Computer Methods in Applied Mechanics and Engineering (2000), pp. 387–402.
[22] J. Hartman, V. Coverstone, and S. Williams. “Optimal Spacecraft In-terplanetary Trajectories via a Pareto Genetic Algorithm”. In: Journal of Astronautical Sciences 46 (1998), pp. 267–292.
[23] Ossama O. Abdelkhalik. “Hidden Genes Genetic Optimization for Variable-Size Design Space Problems”. In: Journal of Optimization Theory and Applications 156.2 (2013), pp. 450–468.
[24] Ossama O. Abdelkhalik and Ahmed Gad. “Dynamic-Size Multiple Pop-ulations Genetic Algorithm for Multigravity-Assist Trajectory Opti-mization”. In: Journal of Guidance, Control and Dynamics 35.2 (2012), pp. 520–529.
[25] Philip E. Gill, Walter Murray, and Michael A. Saunders. “SNOPT:
An SQP algorithm for large-scale constrained optimization”. In: SIAM Rev. 47 (2005), pp. 99–131.
[26] Donald H. Ellison, Jacob A. Englander, and Bruce A. Conway. “Nu-merical Computation of a Continuous-Thrust State Transition Ma-trix Incorporating Accurate Hardware and Ephemeris Models”. In:
AAS/AIAA Space Flight Mechanics Meeting, January, VA. Jan. 2015.
[27] Ehsan Taheri. “RAPID SPACE TRAJECTORY GENERATION
US-[28] Anastassios E. Petropoulos and James M. Longuski. “Shape-Based Algorithm for the Automated Design of Low-Thrust, Gravity Assist Trajectories”. In: Journal of Spacecraft and Rockets 41 (Sept. 2004), pp. 787–796.
[29] C. H. Yam, D. D. Lorenzo, and D. Izzo. “Low-thrust trajectory design as a constrained global optimization problem”. In: Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace En-gineering 225.11 (2011), pp. 1243–1251. doi: 10.1177/0954410011401686.
eprint: http://dx.doi.org/10.1177/0954410011401686. url: http:
//dx.doi.org/10.1177/0954410011401686.
[30] Jacob A. Englander and Arnold C. Englander. Tuning Monotonic Basin Hopping: Improving the efficient of stochastic search as applied to low-thrust trajectory optimization. Tech. rep. NASA Goddard Space Flight Center, 2014.
[31] Joshua Aurich, Ryne Beeson, and Victoria Coverstone. “CUDA-Enhanced Integration for Quick Poincar´e Surface Intersections in a Global Opti-mization Framework for Low Energy Transfers”. In: AAS/AIAA Space Flight Mechanics Conference. San Antonio, TX, Feb. 2017.
[32] Devin Bunce, Ryne Beeson, and Victoria Coverstone. “Resonance Orbit Generation for Global Optimization Seeding”. In: AAS/AIAA Space Flight Mechanics Conference. San Antonio, TX, Feb. 2017.
[33] Steven P Hughes, Rizwan H Qureshi, Steven D Cooley, et al. “Verifi-cation and Validation of the General Mission Analysis Tool (GMAT)”.
In: AIAA/AAS Astrodynamics Specialist Conference. Reston, Virginia:
American Institute of Aeronautics and Astronautics, Aug. 2014.