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A mathematical model for the estimation of the dual-spin Galileo spacecraft high gain antenna misalignment is developed. The feasibility of the proposed technique is investigated by means of a simulation study. In-flight parameter estimation requires the development of a stochastic model of the spacecraft rotational biases and the earth-received signal strength measurements. The signal strength measurements for X-band frequency are used as observations to estimate the rotational biases and their corresponding uncertainties. The simulation study shows that the initial ground measured uncertainties of .6 mrad can be reduced by a factor of ten.