Statistics – Computation
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983p%26ss...31..829k&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 31, Aug. 1983, p. 829-841.
Statistics
Computation
6
Collocation, Geopotential, Gravitational Fields, Harmonics, Least Squares Method, Correlation Coefficients, Orbit Calculation, Satellite Orbits
Scientific paper
The least-squares collocation (LSC) method is compared with conventional least-squares adjustments (LSA) in order to obtain individual harmonic coefficient values in the expansion of the earth gravitational potential from lumped geopotential coefficients of order 30. These computations are based on King-Hele and Walker's (1982) determination of the 30th-order harmonic coefficients from the lumped values by means of the usual least-squares method. Four groups of runs have been performed, from LSA to the most general LSC obtainable. The resulting harmonic coefficients are compared with the resonant solutions of previous studies, including recent comprehensive earth models. Although the present evaluations serve as indications as to where the more complicated LSC method is not required, LSC is preferable where LSA does not achieve optimal utilization of the data base.
Klokocnik Jaroslav
Kostelecky Jan
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