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Smoothing of functions of range and range rate measurements from earth orbiting satellitesIt is shown that for satellites in circular Earth orbits with altitudes of 500 kilometers to 1500 kilometers, and for satellites in elliptical orbits with an approximate 4000 kilometer height of perigee, a high degree least squares polynomial (e.g., a 9th or 10th degree in some cases) is required to smooth both range and range rate data for purposes of input to orbit determination programs. In order to circumvent this problem, functions of range and range rate are smoothed with lower degree least squares polynomials (e.g., 3rd and 4th degree) and it is shown that under the above geometric constraints the standard deviation of fit can be reduced to levels commensurate with typical S-band tracking system resolution which is 1 to 2 meters in range and 0.005 meters/second in range rate for a 1 per second data rate. Also shown are the effects of Gaussian random noise, biases, and periodic noise. This analysis includes numerous examples applied to the 44 point data smoothing interval currently used in much of the operational preprocessing at the Goddard Space Flight Center.
Document ID
19730005154
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Grenchik, T. J. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Murray, C. W., Jr. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
September 2, 2013
Publication Date
October 1, 1972
Subject Category
Space Sciences
Report/Patent Number
NASA-TM-X-66126
X-551-72-385
Accession Number
73N13881
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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