Low-Thrust Transfers to Southern L2 Near-Rectilinear Halo Orbits Facilitated by Invariant Manifolds

In this paper, we investigate the manifolds of three Near-Rectilinear Halo Orbits (NRHOs) and optimal low-thrust transfer trajectories using a high-fidelity dynamical model. Time- and fuel-optimal low-thrust transfers to (and from) these NRHOs are generated leveraging their ‘invariant’ manifolds, wh...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2021-12, Vol.191 (2-3), p.517-544
Main Authors: Singh, Sandeep K., Anderson, Brian D., Taheri, Ehsan, Junkins, John L.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Approximation
Calculus of Variations and Optimal Control
Optimization
Design
Dynamic models
Engineering
Fuels
Invariants
Investigations
Manifolds
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimality criteria
Optimization
Orbits
Solar system
Theory of Computation
Thrust
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Summary:In this paper, we investigate the manifolds of three Near-Rectilinear Halo Orbits (NRHOs) and optimal low-thrust transfer trajectories using a high-fidelity dynamical model. Time- and fuel-optimal low-thrust transfers to (and from) these NRHOs are generated leveraging their ‘invariant’ manifolds, which serve as long terminal coast arcs. Analyses are performed to identify suitable manifold entry/exit conditions based on inclination and minimum distance from the Earth. The relative merits of the stable/unstable manifolds are studied with regard to time- and fuel-optimality criteria, for a set of representative low-thrust family of transfers.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-021-01898-9