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arXiv · 1509.00750

Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory

V. D. Nagornyi·S. Svitlov·A. Araya
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Abstract

Iteratively Re-weighted Least Squares (IRLS) were used to simulate the $L_p$-norm approximation of the ballistic trajectory in absolute gravimeters. Two iterations of the IRLS delivered sufficient accuracy of the approximation without a significant bias. The simulations were performed on different samplings and perturbations of the trajectory. For the platykurtic distributions of the perturbations, the $L_p$-approximation with $3<p<4$ was found to yield several times more precise gravity estimates compared to the standard least-squares. The simulation results were confirmed by processing real gravity observations performed at the excessive noise conditions.

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V. D. Nagornyi, S. Svitlov, A. Araya. 2015-09-01. Improving absolute gravity estimates by the $L_p$-norm approximation of the ballistic trajectory. https://doi.org/10.1088/0026-1394%2F53%2F2%2F754

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