Abstract
Formulas are presented for the determination of satellite trajectories from observations containing random as well as systematic errors. The case where the systematic errors consist of instrument biases is treated in some detail. It is shown that the accuracy of the computed trajectory becomes highly insensitive to the magnitude of bias errors as soon as the variance of the arithmetic mean of the random errors becomes negligible. The latter conclusion is verified on the basis of numerical computation. A short discussion is devoted to the question of socalled imbred bias errors.
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References
Blackman, R. B., “Methods of Orbit Refinement,” Bell System Tech. J., Vol. 43, pp. 885–909, 1964.
Claus, A. J., “Orbit Determination in the Presence of Systematic Errors,” Celestial Mechanics and Astrodynamics, Vol. 14, pp. 725–742, 1964.
Gantmacher, F. R., The Theory of Matrices, Vol. I, Chelsea Publishing Company, New York, 1960, pp. 61–66.
Swerling, P., “First Order Error Propagation in a Stage-Wise Smoothing Procedure for Satellite Observations,” J. Astronaut. Sci., Vol. 6, pp. 46–52, Autumn, 1959.
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© 1966 Springer Science+Business Media New York
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Claus, A.J. (1966). On Systematic Errors in Trajectory Determination Problems. In: Aseltine, J.A. (eds) Peaceful Uses of Automation in Outer Space. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6411-3_26
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DOI: https://doi.org/10.1007/978-1-4899-6411-3_26
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-6203-4
Online ISBN: 978-1-4899-6411-3
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