Abstract
This chapter describes space technology concepts and hardware associated with the spacecraft attitude and orbit control systems (AOCS).
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Notes
- 1.
The U-D decomposition avoids a problem of numerical stability (round-off error) in Kalman filters when the process noise covariance is small that can lead to a small positive eigenvalue being wrongly computed as a negative, causing the state covariance matrix to be indefinite when it should be positive-definite. The U-D decomposition, \( {\mathbf{P}} = {\mathbf{U}}\cdot{\mathbf{D}}\cdot{\mathbf{U}}^{\text{T}} \), where \( {\mathbf{U}} \) is a unit triangular matrix (with unit diagonal), and \( {\mathbf{D}} \) is a diagonal matrix, avoids some of the square root operations required by alternative methods, while maintaining their desirable properties.
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Wie, B., Lappas, V., Gil-Fernández, J. (2014). Attitude and Orbit Control Systems. In: Macdonald, M., Badescu, V. (eds) The International Handbook of Space Technology. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41101-4_12
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