Error Propagation with Geographic Specificity for Very High Degree Geopotential Models

摘要: Users of high-resolution global gravitational models require geographically specific estimates the error associated with various functionals (e.g., Δg N, ξ, η) computed from model parameters. These are composed commission and omission implied by model. Rigorous computation any requires complete covariance matrix its estimated Given this matrix, one can compute model-derived functionals, using propagation. The a spherical harmonic to degree order 2160 has dimension ∼4.7 million. Because such is beyond existing computing technology, an alternative method presented here which capable producing model’s error, without need form, invert, propagate large matrices. uses integral formulas as input variances gravity anomaly data that used in development