Non-singular formulation of the gravity vector and gravity gradient tensor in spherical harmonics.

Statistics – Computation

Scientific paper

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Geopotential: Models

Scientific paper

A fast point by point computation method of the gravity vector and gravity gradient tensor components associated to a high degree and order spherical harmonic geopotential model is proposed. The formulation is non singular at the poles, uses normalized Helmholtz polynomials and derivatives, has been tested up to degree-order 1080 and also compared with other available formulations.

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