Adjustment, interpolation, and smoothing of GEOS 3 altimeter data
A computational scheme that provides a rapid method for constructing a local or regional geoid from GEOS 3 altimeter data is presented. It is shown that for an oceanic area not larger than 30 deg longitude by 30 deg latitude, an adjustment of GEOS 3 track data for the erroneous bias and tilt can reduce the data inconsistencies at track intersections to smaller than 50 cm. This makes it possible to construct a map of the geoid with the contour interval of 1 m in any local or regional areas where the altimeter data exist with reasonable density and uniformity. In addition, a formula is developed for computing an expected value of geoid height by taking a weighted average of the adjusted altimeter data. Using the data's autocovariance as a weight, the formula can give a profile of geoid height along a given traverse. The geoid data can thus be compared with other marine geophysical data that are recorded continually along a ship's track.