The Aliasing Effect in Coefficients Estimation

Extended Abstract
  • A. Albertella
  • F. Migliaccio
  • F. Sansó
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 106)


Following the involvement of the Istituto di Topografia, Fotogrammetria and Geofisica of the Politecnico di Milano in the ESA study concerning the Aristoteles mission (✸) requirements and results, the authors have chosen as their specific scientific goal the pursuit of a better knowledge of a global model of the gravity field, in terms of the coefficients of the expansion of the gravity potential into spherical harmonics, truncated at degree L:
$$v = \mathop {{\Sigma _1}}\limits_0^L \mathop {{\Sigma _m}}\limits_0^1 \mathop {{\Sigma _\alpha }}\limits_0^1 {v_{1m\alpha }}{\left( {\frac{R}{r}} \right)^{1 + 1}}{Y_{1m\alpha }}\left( \sigma \right)$$

R = radius of the Earth

r = radius of the satellite orbit


Gravity Potential Circular Orbit Commission Error Spherical Harmonic Expansion Geoid Undulation 
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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • A. Albertella
    • 1
  • F. Migliaccio
    • 1
  • F. Sansó
    • 1
  1. 1.Istituto di TopografiaFotogrammetria e GeofisicaMilanoItaly

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