Use of least square criterion in triad algorithm

L. M. Ryzhkov, D. I. Stepurenko

Abstract


In this paper a using of least squares criterion is proposed to reduce the measurement errors influence to the TRIAD algorithm accuracy. The method testing was carried out to verify the proposed formulas. The case of constant attitude was considered and the results of its estimation are presented


Keywords


attitude determination method; TRIAD; least squares criterion; vector measurements

References


Marques S., Clements R., Lima P. “Comparison of Small Satellite Attitude Determination Methods”, in Proceedings of 2000 AIAA Conference on Navigation, Guidance and Control, 14-17 August 2000, Colorado, USA.

Shuster M. D., Oh S. D., “Three-Axis Attitude Determination from Vector Observations”, Journal of Guidance and Control, Vol. 4, No. 1, January-February 1981, – P. 70–77.

Tanygin S., Shuster M. D., “The Many TRIAD Algorithms,” Paper AAS-07-104, AAS/AIAA Space Flight Mechanics, Meeting, Sedona, Arizona, January 28–February 22, 2007;Proceedings: Advances in the Astronautical Sciences, Vol. 127, 2007, – P. 81–99.

Wahba G., “Problem 65-1: A Least Squares Estimate of Spacecraft Attitude,” Siam Review, Vol. 7, No. 3, July 1965, – 409 p.

Farrell J. L., Stuelpnagel J. C. “A Least Squares Estimate of Spacecraft Attitude,” SIAM Review, Vol. 8, No. 3, July 1966, – P. 384–386.

Keat, J. “Analysis of Least-Squares Attitude Determination Routine DOAOP,” Computer Sciences Corporation Report CSC/TM-77/6034, February 1977.

Markley F. L., Mortari M. “Quaternion Attitude Estimation Using Vector Measurements, The Journal of the Astronautical Sciences, Vol. 48, Nos. 2 and 3, April-September 2000, – P. 359–380.

Markley F. L., “Attitude Determination using Two Vector Measurements,” Proceedings, FlightMechanics Symposium, NASA Goddard Space Flight Center, Greenbelt, MD, May 1999, NASA Conference Publication NASA/CP-19989-209235, – P. 39–52.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.