Skip to main content
SpringerLink
Log in

Centering and Observability in Attitude-Independent Magnetometer-Bias Determination

  • Published:
The Journal of the Astronautical Sciences Aims and scope Submit manuscript

Abstract

The TWOSTEP algorithm is examined for the case where the centered portion of the negative-log-likelihood function provides incomplete observability of the magnetometerbias vector. In those cases where the full negative-log-likelihood function provides a complete estimate, the TWOSTEP algorithm can be modified to provide an estimate of all three components of the magnetometer bias vector. However, the procedure leads to a discrete degeneracy of the estimate which can be resolved only by explicit evaluation of the negative-log-likelihood.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ALONSO, R. and SHUSTER, M. D. “TWOSTEP: A Fast Robust Algorithm for Attitude-Independent Magnetometer-Bias Determination,” The Journal of the Astronautical Sciences, Vol. 50, No. 4, Oct.–Dec. 2002, pp. 433–451.

    Google Scholar 

  2. ALONSO, R. and SHUSTER, M. D. “Attitude-Independent Magnetometer-Bias Determination: A Survey,” The Journal of the Astronautical Sciences, Vol. 50, No. 4, Oct.–Dec. 2002, pp. 453–475.

    Google Scholar 

  3. ACUÑA, M. (private communication).

  4. ALONSO, R. and SHUSTER, M. D. “Complete Linear Attitude-Independent Magnetometer Calibration,” to appear in The Journal of the Astronautical Sciences.

  5. LANGEL, R. A. “The Main Field,” in JACOBS, J. A. (ed.) Geomagnetism, Academic Press, Orlando, 1987, pp. 348–349.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Jefe, Grupo de Control de Actitud, Comisión Nacional de Actividades Espaciales (CONAE), Avenida Paseo Colón 751, Buenos Aires, 1063, Argentina

    Roberto Alonso

  2. Acme Spacecraft Company, 13017 Wisteria Drive, Box 328, Germantown, 20874, Maryland, USA

    Malcolm D. Shuster (Director of Research)

Authors
  1. Roberto Alonso
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Malcolm D. Shuster
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Malcolm D. Shuster.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alonso, R., Shuster, M.D. Centering and Observability in Attitude-Independent Magnetometer-Bias Determination. J of Astronaut Sci 51, 133–141 (2003). https://doi.org/10.1007/BF03546305

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03546305

Search

Navigation