Collocation and least squares methods as a tool for handling gravity field dependent data obtained through space research techniques

Details Collocation and least squares methods as a tool for handling gravity field dependent data obtained through space research techniques Collocation and least squares methods as a tool for handling gravity field dependent data obtained through space research techniques

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978esasp.137..141t&link_type=abstract

In ESA Space Oceanog., Navigation, and Geodyn. p 141-149 (SEE N79-12482 03-42)

Statistics

3

Collocation, Earth (Planet), Earth Gravitation, Gravitational Fields, Least Squares Method, Altimeters, Doppler Effect, Mathematical Models, Normalizing (Statistics), Satellite Tracking, Weighting Functions

Scientific paper

Least squares adjustment and collocation methods for extracting gravity field information from data obtained through space research techniques (satellite orbit tracking, altimeter observations, Doppler determined positions) are discussed combining these data with data observed at the surface of the earth. The mathematical framework for the two models is described and the models are compared. It is shown that the two methods only become equivalent in cases where the number of parameters are equal to the numbers of observations. It is pointed out that several arbitrary choices (of parameters, weights, and norms) will have to be made before the methods can be applied, and that further investigations are needed in order to justify the specific choices.

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