IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v191y2021i2d10.1007_s10957-021-01898-9.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-021-01898-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-021-01898-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Y.-K. Chang & J. J. Nieto & W.-S. Li, 2009. "On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 431-442, March.
    2. A. Miele & M. Ciarcià, 2008. "Optimal Starting Conditions for the Rendezvous Maneuver, Part 1: Optimal Control Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 593-624, June.
    3. A. Miele & M. Ciarcià, 2008. "Optimal Starting Conditions for the Rendezvous Maneuver, Part 2: Mathematical Programming Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 625-639, June.
    4. Fliege, Jörg & Kaparis, Konstantinos & Khosravi, Banafsheh, 2012. "Operations research in the space industry," European Journal of Operational Research, Elsevier, vol. 217(2), pages 233-240.
    5. Alexey Ivanyukhin & Viacheslav Petukhov, 2021. "Optimization of Multi-revolution Limited Power Trajectories Using Angular Independent Variable," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 575-599, December.
    6. A. Miele & M. Ciarcià & M. W. Weeks, 2007. "Guidance Trajectories for Spacecraft Rendezvous," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 377-400, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:191:y:2021:i:2:d:10.1007_s10957-021-01898-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.