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  4. On the transformation of the harmonic coefficients of the geopotential for small rotations of the coordinate system

On the transformation of the harmonic coefficients of the geopotential for small rotations of the coordinate system

ISTCGCAP.
2004;
Volume 65, 2004, Number 65, 2004
: 64-72
Authors:
  1. Alexander N. Marchenko
  2. Nataliya Yarema
1
Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University
2
Lviv Polytechnic National University

The rigorous transformation of harmonic coefficients of the geopotential from the fixed at given epoch reference frame to some close system was considered. This problem was solved in the dosed form for the 2-nd degree harmonic coefficients with additional condition to save zero trace of the deviatoric part of the planet’s tensor of inertia that leads to a simple algorithm of the transformation based on the use of orthogonal matrices in the case of finite rotations.

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