Low-Thrust Transfers to Southern $$L_2$$ L 2 Near-Rectilinear Halo Orbits Facilitated by Invariant Manifolds

Sandeep K. Singh (), Brian D. Anderson, Ehsan Taheri and John L. Junkins
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Sandeep K. Singh: Texas A&M University
Brian D. Anderson: California Institute of Technology
Ehsan Taheri: Auburn University
John L. Junkins: Texas A&M University

Journal of Optimization Theory and Applications, 2021, vol. 191, issue 2, No 9, 517-544

Abstract: Abstract 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.

Keywords: Optimal control; Minimum-fuel; Minimum-time; Invariant manifolds; Indirect optimization (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01898-9

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