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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sandeep K. Singh & Brian D. Anderson & Ehsan Taheri & John L. Junkins, 2021. "Low-Thrust Transfers to Southern $$L_2$$ L 2 Near-Rectilinear Halo Orbits Facilitated by Invariant Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 517-544, December.
    • Handle: RePEc:spr:joptap:v:191:y:2021:i:2:d:10.1007_s10957-021-01898-9
    DOI: 10.1007/s10957-021-01898-9
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    References listed on IDEAS

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    1. P. Sengupta & S. R. Vadali, 2008. "Analytical Solution for Power-Limited Optimal Rendezvous near an Elliptic Orbit," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 115-137, July.
    2. A. Miele & M. W. Weeks & M. Ciarcià, 2007. "Optimal Trajectories for Spacecraft Rendezvous," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 353-376, March.
    3. Mauro Pontani & Angelo Miele, 2016. "Theorem of Optimal Image Trajectories in the Restricted Problem of Three Bodies," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 992-1013, March.
    4. Joris T. Olympio, 2013. "A Continuous Implementation of a Second-Variation Optimal Control Method for Space Trajectory Problems," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 687-716, September.
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