HORIZONTAL POSITION OPTIMAL SOLUTION DETERMINATION FOR THE SATELLITE LASER RANGING SLOPE MODEL

Abstract. According to the Gaussian-fit laser echo model and the terrain slope model, the regular mean value theorem and the asymptotic principle of the median point of the double integral mean value theorem are used to derive the optimal solution for the horizontal position of a single-mode laser echo. Through simulation experiments, the horizontal position results of the echo signal peak from various terrain slopes are analyzed. When ignoring the effect of the atmosphere and the surface roughness of the target, considering the geometric position of the Gaussian single-mode echo signal peak to be the center of the laser spot is highly accurate. However, as the accuracy significantly decreases when the slope is greater than 26°, making the range of the peak value of the single-mode echo data (for a slope of less than 26°) to be the range of the geometrical center of the laser spot can obtain a higher degree of accuracy.