Non-Singular Cross-Track Derivatives of the Gravitational Potential Using Rotated Spherical Harmonics
In many applications of satellite geodesy one is interested in derivatives of the gravitational potential, expressed in a satellite fixed triad, which is oriented in the along-track, cross-track and radial direction. For instance Hill equations or Gauss-type of equations employ such triads. Perturbation analyses, using these equations, require potential derivatives along the coordinate axes. Also space-borne gradiometry makes use of the concept of a local cartesian triad along the orbit, in which the gradient of the gravity vector is expressed.
KeywordsSpherical Harmonic Gravitational Potential Gravity Gradient Gravity Vector Representation Coefficient
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