IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/137672.html
   My bibliography  Save this article

Study of Stability of Rotational Motion of Spacecraft with Canonical Variables

Author

Listed:
  • William Reis Silva
  • Maria Cecília F. P. S. Zanardi
  • Regina Elaine Santos Cabette
  • Jorge Kennety Silva Formiga

Abstract

This work aims to analyze the stability of the rotational motion of artificial satellites in circular orbit with the influence of gravity gradient torque, using the Andoyer variables. The used method in this paper to analyze stability is the Kovalev-Savchenko theorem. This method requires the reduction of the Hamiltonian in its normal form up to fourth order by means of canonical transformations around equilibrium points. The coefficients of the normal Hamiltonian are indispensable in the study of nonlinear stability of its equilibrium points according to the three established conditions in the theorem. Some physical and orbital data of real satellites were used in the numerical simulations. In comparison with previous work, the results show a greater number of equilibrium points and an optimization in the algorithm to determine the normal form and stability analysis. The results of this paper can directly contribute in maintaining the attitude of artificial satellites.

Suggested Citation

  • William Reis Silva & Maria Cecília F. P. S. Zanardi & Regina Elaine Santos Cabette & Jorge Kennety Silva Formiga, 2012. "Study of Stability of Rotational Motion of Spacecraft with Canonical Variables," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-19, February.
    • Handle: RePEc:hin:jnlmpe:137672
    DOI: 10.1155/2012/137672
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/137672.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/137672.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/137672?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:137672. 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.