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Vol 156
Pages:
205-206
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RUS
Research article
Surveying and geodesy

On the problem of strict alignment of geodetic networks developed by a set of satellite navigation system stations

Authors:
A. V. Astapovich1
M. Ya. Bryn2
I. V. Koltsov3
V. V. Sugako4
About authors
  • 1 — St. Petersburg Branch of the Military Engineering University
  • 2 — St. Petersburg Branch of the Military Engineering University
  • 3 — St. Petersburg Branch of the Military Engineering University
  • 4 — St. Petersburg Branch of the Military Engineering University
Date submitted:
2003-06-26
Date accepted:
2003-07-03
Date published:
2004-01-01

Abstract

The problem of strict equation of geodetic networks developed by a set of stations of satellite navigation systems is raised, which is caused by the fact that as a result of post-processing by existing programs receive covariance matrices of errors of increments of spatial coordinates for each measured side of the geodetic network separately. The matrix does not take into account the correlation that is caused by the fact that the results of observations of many satellites are used simultaneously to determine the coordinate increments on all measured sides of the network. It is shown that for a rigorous equation, the covariance matrix of satellite measurement errors should be determined as a result of correlation analysis, and the equation should be performed by the regularized least squares method.

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References

  1. Астапович А.В. Регуляризованный метод оптимального уравнивания геодезических сетей // Изв. вузов. Геодезия и аэрофотосъемка. 2002. № 1. С.30-40.
  2. Астапович А.В. Регуляризованное уравнивание локальных геодезических сетей, развитых относительным методом космической геодезии // Изв. вузов. Геодезия и аэрофотосъемка. 2002. № 4. С.46-51.
  3. Астапович А.В. О совместном уравнивании спутниковых и наземных измерений в местных системах координат / А.В.Астапович, М.Я.Брынь // Изв. вузов. Геодезия и аэрофотосъемка. 2003. № 1. С.13-21.

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