AN APPLICATION OF METHODS OF FUNCTION MINIMISATION TO A PROBLEM OF NON-LINEAR CURVE FITTING ARISING IN THE ESTIMATION OF GEOPHYSICAL CONSTANTS FROM SATELLITE OBSERVATIONS.
ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)
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Observations of the mean longitude of two nearly synchronous satellites, Syncom 2 and Syncom 3, have been used to estimate the parameters associated with the most important longitude-dependent terms in the expansion of the Earths gravitational field. This has been done by solving a non-linear least squares curve fitting problem using function minimisation techniques and the opportunity has been taken of comparing the efficiencies of a number of these techniques. Estimates of the accuracy of the parameter values obtained have been found from a linearised model. Author
- Statistics and Probability
- Unmanned Spacecraft