Abstract
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.
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© 1992 Springer-Verlag New York, Inc.
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Sneeuw, N. (1992). Non-Singular Cross-Track Derivatives of the Gravitational Potential Using Rotated Spherical Harmonics. In: Colombo, O.L. (eds) From Mars to Greenland: Charting Gravity With Space and Airborne Instruments. International Association of Geodesy Symposia, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9255-2_31
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DOI: https://doi.org/10.1007/978-1-4613-9255-2_31
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