PMID- 35002053
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20220111
IS  - 0731-5090 (Print)
IS  - 1533-3884 (Electronic)
IS  - 0731-5090 (Linking)
VI  - 45
IP  - 1
DP  - 2022 Jan
TI  - A Shape-Based Approach For Low-Thrust Earth-Moon Trajectories Initial Design.
LID - 10.2514/1.g006182 [doi]
AB  - A Robust Finite Fourier Series (R-FFS) approach is developed for fast generation 
      of Earth-Moon trajectories using continuous low thrust. Each component of the 
      position vector is approximated using a finite Fourier series as a function of 
      time; these approximations are then used to design a trajectory that satisfies 
      the equations of motion and the constraints, at discrete points, as well as the 
      problem boundary conditions. The R-FFS method leverages the three body problem 
      characteristics to achieve all the required plane change without the use of 
      propulsion. The trajectory is divided into phases. The phase of the trajectory 
      near the L1 Lagrange point is designed first and is always a thrust-free phase. 
      This thrust-free phase is optimized to achieve the required plane change, 
      enabling planar trajectories in the other phases. The initial guess needed by the 
      solver, in the escape and capture phases, is generated using an analytic 
      approximation developed in this paper. The numerical results show that the R-FFS 
      can generate three dimensional transfers to high lunar orbits, low lunar orbits, 
      and Halo orbits, while meeting constraints on the maximum thrust level of the 
      engine.
FAU - Vijayakumar, Madhusudan
AU  - Vijayakumar M
AD  - Iowa State University, Ames, IA - 50010, USA.
FAU - Abdelkhalik, Ossama
AU  - Abdelkhalik O
AD  - Iowa State University, Ames, IA - 50010, USA.
LA  - eng
GR  - 80NSSC19K1642/ImNASA/Intramural NASA/United States
PT  - Journal Article
DEP - 20210928
PL  - United States
TA  - J Guid Control Dyn
JT  - Journal of guidance, control, and dynamics : a publication of the American 
      Institute of Aeronautics and Astronautics devoted to the technology of dynamics 
      and control
JID - 100971378
PMC - PMC8740552
MID - NIHMS1757317
EDAT- 2022/01/11 06:00
MHDA- 2022/01/11 06:01
PMCR- 2022/01/07
CRDT- 2022/01/10 09:00
PHST- 2022/01/10 09:00 [entrez]
PHST- 2022/01/11 06:00 [pubmed]
PHST- 2022/01/11 06:01 [medline]
PHST- 2022/01/07 00:00 [pmc-release]
AID - 10.2514/1.g006182 [doi]
PST - ppublish
SO  - J Guid Control Dyn. 2022 Jan;45(1):10.2514/1.g006182. doi: 10.2514/1.g006182. 
      Epub 2021 Sep 28.