Physics
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jgr....91.9447s&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 91, Aug. 10, 1986, p. 9447-9451. Research supported by the University of
Physics
14
Error Analysis, Orbital Mechanics, Satellite Altimetry, Satellite Orbits, Mapping, Satellite Tracking, Spherical Harmonics
Scientific paper
A nondynamic technique for reducing radial orbit errors in satellite altimetry is presented. Inclination functions which are mappings of surface spherical harmonics into the orbit plane are used to determine the entire class of orbit error functions not recoverable with crossover data. These orbit error functions are shown to depend on latitude and longitude only. It is shown that zonal harmonics map into multiples of once per revolution, and that the nonzonal harmonics map into linear combinations of three or more frequencies. A numerical example demonstrates that the theory applies to irregularly spaced data by accurately recovering realistic orbit error using ocean crossover data and data from eight globally distributed radial tracking points. Fewer tracking points are needed if a smoothness criteria is applied to the orbit correction curve, and results indicate that radial orbit error can be significantly reduced by including a few globally distributed radar reflectors in the tracking network.
Douglas Bruce C.
Milbert Dennis G.
Sandwell David T.
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