Highlights Natural formation flying near triangular Libration points is investigated. Numerical searching and ergodic mappings method to seek naturally bounded relative orbits is developed. Neural network is utilized to realize the transformation from ergodic mappings to orbital states.
Abstract This paper proposes a numerical searching and ergodic mappings method to seek the naturally bounded relative orbits near the triangular libration points in the Earth-Moon system. An orbital energy saved numerical continuation method along one axis is proposed and the Poincaré map near the triangular libration points is obtained, based on which two characteristic parameters are defined to generate the naturally bounded relative motions, i.e., the crossing interval period and the reference angle. Then, a numerical searching method is employed to generate an ergodic mapping and a neural network is utilized to realize the transformation from the ergodic mappings to orbital states. By pairing the ergodic mappings of different initial orbital states, the naturally bounded relative motion realized can remain for a long time and does not diverge.
Naturally bounded relative motion for formation flying near triangular libration points
Advances in Space Research ; 71 , 12 ; 5038-5049
2023-02-06
12 pages
Article (Journal)
Electronic Resource
English
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