Geometric Accuracy Obtainable from Simultaneous Range Measurements to Satellites

  1. Soren W. Henriksen,
  2. Armando Mancini and
  3. Bernard H. Chovitz
  1. L. Aardoom

Published Online: 15 MAR 2013

DOI: 10.1029/GM015p0009

The Use of Artificial Satellites for Geodesy

The Use of Artificial Satellites for Geodesy

How to Cite

Aardoom, L. (1972) Geometric Accuracy Obtainable from Simultaneous Range Measurements to Satellites, in The Use of Artificial Satellites for Geodesy (eds S. W. Henriksen, A. Mancini and B. H. Chovitz), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM015p0009

Author Information

  1. Geodetic Institute, Delft University Of Technology, Delft, Netherlands

Publication History

  1. Published Online: 15 MAR 2013
  2. Published Print: 1 JAN 1972

ISBN Information

Print ISBN: 9780875900155

Online ISBN: 9781118663646

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Keywords:

  • High-precision laser ranging systems;
  • Ranging standard deviation;
  • Round-to-satellite laser ranging;
  • Satellites;
  • Variance-covariance matrix

Summary

We consider the problem of obtaining information on the internal geometry of a net of ground-based observing stations from simultaneous laser range measurements to satellites. The approach involves the measured ranges and the interstation distances only. One family of idealized four-station configurations is investigated with regard to the internal geometric accuracy attainable from simultaneous ranging. A variety of orbital heights is considered. It is found that the estimated standard deviation of the derived interstation distances will be about 5 times the standard deviation of the range measurements to the satellites, provided that the interstation distances and the orbital heights of the satellites are carefully selected and provided that a feasible observation program is presupposed.