Non-Singular Cross-Track Derivatives of the Gravitational Potential Using Rotated Spherical Harmonics

  • Nico Sneeuw
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 110)


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.


Spherical Harmonic Gravitational Potential Gravity Gradient Gravity Vector Representation Coefficient 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Nico Sneeuw
    • 1
  1. 1.Faculty of Geodetic EngineeringDelft University of TechnologyThe Netherlands

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