An Efficient Algorithm for Computing the Crossovers in Satellite Altimetry

Chang-Kou Tai Scripps Institution of Oceanography, La Jolla, California

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Abstract

An efficient algorithm has been devised to compute the crossovers in satellite altimetry. The significance of the crossovers is twofold. First they are needed to perform the crossover adjustment to remove the orbit error. Second, they yield important insight to the oceanic variability. Nevertheless, there is no published algorithm to make this very time-consuming task easier, which is the goal of this note. The success of the algorithm is predicated on the ability to predict (by analytical means) the crossover coordinates to within 6 km and 1 sec of the true values. Hence, only one interpolation /extrapolation step on the data is needed to derive the crossover coordinates in contrast to the many interpolation/extrapolation operations that are usually needed to arrive at the same accuracy level if deprived of this information.

Abstract

An efficient algorithm has been devised to compute the crossovers in satellite altimetry. The significance of the crossovers is twofold. First they are needed to perform the crossover adjustment to remove the orbit error. Second, they yield important insight to the oceanic variability. Nevertheless, there is no published algorithm to make this very time-consuming task easier, which is the goal of this note. The success of the algorithm is predicated on the ability to predict (by analytical means) the crossover coordinates to within 6 km and 1 sec of the true values. Hence, only one interpolation /extrapolation step on the data is needed to derive the crossover coordinates in contrast to the many interpolation/extrapolation operations that are usually needed to arrive at the same accuracy level if deprived of this information.

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