IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/971983.html
   My bibliography  Save this article

Optimal Two-Impulse Trajectories with Moderate Flight Time for Earth-Moon Missions

Author

Listed:
  • Sandro da Silva Fernandes
  • Cleverson Maranhão Porto Marinho

Abstract

A study of optimal two-impulse trajectories with moderate flight time for Earth-Moon missions is presented. The optimization criterion is the total characteristic velocity. Three dynamical models are used to describe the motion of the space vehicle: the well-known patched-conic approximation and two versions of the planar circular restricted three-body problem (PCR3BP). In the patched-conic approximation model, the parameters to be optimized are two: initial phase angle of space vehicle and the first velocity impulse. In the PCR3BP models, the parameters to be optimized are four: initial phase angle of space vehicle, flight time, and the first and the second velocity impulses. In all cases, the optimization problem has one degree of freedom and can be solved by means of an algorithm based on gradient method in conjunction with Newton-Raphson method.

Suggested Citation

  • Sandro da Silva Fernandes & Cleverson Maranhão Porto Marinho, 2012. "Optimal Two-Impulse Trajectories with Moderate Flight Time for Earth-Moon Missions," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-34, November.
    • Handle: RePEc:hin:jnlmpe:971983
    DOI: 10.1155/2012/971983
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/971983.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/971983.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/971983?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:971983. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.