Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation

2011 ◽  
pp. 39-51 ◽  
Author(s):  
Anna Zanzottera ◽  
Giorgio Mingotti ◽  
Roberto Castelli ◽  
Michael Dellnitz
Keyword(s):  
Low Energy ◽  
The Earth

scholarly journals Precise analytical description of the Earth matter effect on oscillations of low energy neutrinos

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
A. N. Ioannisian ◽  
N. A. Kazarian ◽  
A. Yu. Smirnov ◽  
D. Wyler
Keyword(s):  
Analytical Description ◽  
Low Energy ◽  
The Earth ◽  
Matter Effect

Self-adaptive uniform differential evolution for optimizing the initial integral point of the Earth–Moon low-energy transfer

2011 ◽  
Vol 225 (11) ◽  
pp. 1263-1276 ◽  
Author(s):  
L Peng ◽  
G Dai ◽  
M Wang ◽  
H Hu ◽  
Y Chang ◽  
...  
Keyword(s):  
Energy Transfer ◽  
Differential Evolution ◽  
Optimization Problem ◽  
Control Method ◽  
Uniform Design ◽  
Low Energy ◽  
De Algorithm ◽  
The Earth ◽  
Low Energy Transfer ◽  
Self Adaptive

Low-energy transfer trajectory is of growing interest in the space community. It is important to choose the patch point of the unstable manifold of the Lyapunov orbit around Sun–Earth L2 and the stable manifold of the Lyapunov orbit around Earth–Moon L2. The main contributions of this study are two areas: (a) designing the optimization model and using evolutionary algorithms to optimize the initial condition and (b) developing effective algorithms for this problem. In this article, an improved differential evolution (DE) algorithm, named adaptive uniform design differential evolution (AUDE), is proposed to solve the Earth–Moon low-energy transfer optimization problem. It incorporates the uniform design technology and the self-adaptive parameter control method into standard DE to accelerate its convergence speed and improve the stability and calculation accuracy. To verify the performance of AUDE, the Earth–Moon low-energy transfer optimization problem and 15 benchmark functions with diverse complexities are employed. The experiment results indicate that the authors' approach is able to find the better one, or at least comparably, in terms of the quality and stability of the final solutions than the other three algorithms. Moreover, it proves that the application of DE algorithm in the Earth–Moon low-energy transfer optimization problem is effective.

scholarly journals Enhanced Hybrid Differential Evolution for Earth-Moon Low-Energy Transfer Trajectory Optimization

2018 ◽  
Vol 2018 ◽  
pp. 1-17
Author(s):  
Yanyun Zhang ◽  
Lei Peng ◽  
Guangming Dai ◽  
Maocai Wang
Keyword(s):  
Energy Transfer ◽  
Differential Evolution ◽  
Trajectory Optimization ◽  
Transfer Problem ◽  
Low Energy ◽  
Initial Condition ◽  
Transfer Trajectory ◽  
De Algorithm ◽  
The Earth ◽  
Low Energy Transfer

It is known that the optimization of the Earth-Moon low-energy transfer trajectory is extremely sensitive with the initial condition chosen to search. In order to find the proper initial parameter values of Earth-Moon low-energy transfer trajectory faster and obtain more accurate solutions with high stability, in this paper, an efficient hybridized differential evolution (DE) algorithm with a mix reinitialization strategy (DEMR) is presented. The mix reinitialization strategy is implemented based on a set of archived superior solutions to ensure both the search efficiency and the reliability for the optimization problem. And by using DE as the global optimizer, DEMR can optimize the Earth-Moon low-energy transfer trajectory without knowing an exact initial condition. To further validate the performance of DEMR, experiments on benchmark functions have also been done. Compared with peer algorithms on both the Earth-Moon low-energy transfer problem and benchmark functions, DEMR can obtain relatively better results in terms of the quality of the final solutions, robustness, and convergence speed.

Chaotic Dynamics in a Low-Energy Transfer Strategy to the Equilateral Equilibrium Points in the Earth–Moon System

2015 ◽  
Vol 25 (05) ◽  
pp. 1550077 ◽  
Author(s):  
F. J. T. Salazar ◽  
E. E. N. Macau ◽  
O. C. Winter
Keyword(s):  
Equilibrium Points ◽  
Low Energy ◽  
The Moon ◽  
Gravity Assist ◽  
Moon System ◽  
Keplerian Orbits ◽  
The Earth ◽  
Chaotic Region ◽  
Gravity Assist Maneuver ◽  
Three Body

In the frame of the equilateral equilibrium points exploration, numerous future space missions will require maximization of payload mass, simultaneously achieving reasonable transfer times. To fulfill this request, low-energy non-Keplerian orbits could be used to reach L4 and L5 in the Earth–Moon system instead of high energetic transfers. Previous studies have shown that chaos in physical systems like the restricted three-body Earth–Moon-particle problem can be used to direct a chaotic trajectory to a target that has been previously considered. In this work, we propose to transfer a spacecraft from a circular Earth Orbit in the chaotic region to the equilateral equilibrium points L4 and L5 in the Earth–Moon system, exploiting the chaotic region that connects the Earth with the Moon and changing the trajectory of the spacecraft (relative to the Earth) by using a gravity assist maneuver with the Moon. Choosing a sequence of small perturbations, the time of flight is reduced and the spacecraft is guided to a proper trajectory so that it uses the Moon's gravitational force to finally arrive at a desired target. In this study, the desired target will be an orbit about the Lagrangian equilibrium points L4 or L5. This strategy is not only more efficient with respect to thrust requirement, but also its time transfer is comparable to other known transfer techniques based on time optimization.

scholarly journals A motivating exploration on lunar craters and low-energy dynamics in the Earth–Moon system

2010 ◽  
Vol 107 (1-2) ◽  
pp. 187-207 ◽  
Author(s):  
Elisa Maria Alessi ◽  
Gerard Gómez ◽  
Josep J. Masdemont
Keyword(s):  
Low Energy ◽  
Moon System ◽  
Energy Dynamics ◽  
The Earth ◽  
Lunar Craters
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