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Journal of Geodesy

, Volume 89, Issue 12, pp 1181–1182 | Cite as

Erratum to: A consistent combination of GNSS and SLR with minimum constraints

  • Susanne GlaserEmail author
  • Mathias Fritsche
  • Krzysztof Sośnica
  • Carlos Javier Rodríguez-Solano
  • Kan Wang
  • Rolf Dach
  • Urs Hugentobler
  • Markus Rothacher
  • Reinhard Dietrich
Erratum

1 Erratum to: J Geod DOI 10.1007/s00190-015-0842-0

The translations and translation rates from the transformation between the GNSS-only solution with respect to ITRF2008 presented in Table 5 of the original article are incorrect. The correct numbers can be found in Table 5 presented in the following page. The newly provided values do not alter the conclusion presented in the original paper. The authors are very thankful to Matt King for his special attention and pointing to this issue.
Table 5

Transformation parameters of a 14-parameter Helmert transformation (translation \(T_X \), \(T_Y \), \(T_Z \), rotation \(R_X \), \(R_Y \), \(R_Z \), scale D and their temporal changes with their corresponding standard deviations) at the reference epoch \(t_0 = 01.01.2005\) and the standard deviation \(s_0 \) of the transformation between the ITRF2008 (Altamimi et al. 2011) and the GNSS-only, SLR-only (top table) and the combined (GNSS+SLR) solution (bottom table)

ITRF2008

GNSS-only

SLR-only

\(T_X \) (mm)

\(\dot{T}_X \) (mm/a)

1.41 \(\pm \) 0.23

0.86 \(\pm \) 0.01

1.00 \(\pm \) 1.88

0.18 \(\pm \) 0.00

\(T_Y \) (mm)

\(\dot{T}_Y \) (mm/a)

8.25 \(\pm \) 0.23

\(-\)0.41 \(\pm \) 0.01

0.08 \(\pm \) 1.90

0.16 \(\pm \) 0.01

\(T_Z \) (mm)

\(\dot{T}_Z \) (mm/a)

2.42 \(\pm \) 0.22

0.61 \(\pm \) 0.01

\(-\)0.93 \(\pm \) 1.82

\(-\)0.21 \(\pm \) 0.01

\(R_X \) (mas)

\(\dot{R}_X \) (mas/a)

\(-\)0.018 \(\pm \) 0.008

\(-\)0.001 \(\pm \) 0.000

\(-\)0.023 \(\pm \) 0.077

\(-\)0.020 \(\pm \) 0.001

\(R_Y \) (mas)

\(\dot{R}_Y \) (mas/a)

\(-\)0.009 \(\pm \) 0.009

0.002 \(\pm \) 0.000

0.094 \(\pm \) 0.071

\(-\)0.005 \(\pm \) 0.001

\(R_Z \) (mas)

\(\dot{R}_Z \) (mas/a)

0.005 \(\pm \) 0.009

0.002 \(\pm \) 0.000

\(-\)0.124 \(\pm \) 0.069

\(-\)0.002 \(\pm \) 0.001

D  (ppb)

\(\dot{D}\)  (ppb/a)

\(-\)1.14 \(\pm \) 0.01

\(-\)0.01 \(\pm \) 0.00

\(-\)0.21 \(\pm \) 0.28

0.07 \(\pm \) 0.00

\(s_0 \)  (mm)

3.17

8.57

ITRF2008

GNSS+SLR

  

\(T_X \) (mm)

\(\dot{T}_X \) (mm/a)

1.02 \(\pm \) 0.64

0.99 \(\pm \) 0.03

  

\(T_Y \) (mm)

\(\dot{T}_Y \) (mm/a)

8.28 \(\pm \) 0.63

\(-\)0.78 \(\pm \) 0.03

  

\(T_Z \) (mm)

\(\dot{T}_Z \) (mm/a)

2.79 \(\pm \) 0.62

0.21 \(\pm \) 0.03

  

\(R_X \) (mas)

\(\dot{R}_X \) (mas/a)

\(-\)0.026 \(\pm \) 0.024

\(-\)0.002 \(\pm \) 0.001

  

\(R_Y \) (mas)

\(\dot{R}_Y \) (mas/a)

\(-\)0.008 \(\pm \) 0.025

0.000 \(\pm \) 0.001

  

\(R_Z \) (mas)

\(\dot{R}_Z \) (mas/a)

\(-\)0.007 \(\pm \) 0.025

0.003 \(\pm \) 0.001

  

D  (ppb)

\(\dot{D}\)  (ppb/a)

\(-\)1.07 \(\pm \) 1.32

0.00 \(\pm \) 0.00

  

\(s_0 \)  (mm)

5.15

  

Reference

  1. Altamimi Z, Collilieux X, Métivier L (2011) ITRF2008: an improved solution of the international terrestrial reference frame. J Geod 85(8):457–473. doi: 10.1007/s00190-011-0444-4

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Susanne Glaser
    • 1
    • 2
    Email author
  • Mathias Fritsche
    • 3
  • Krzysztof Sośnica
    • 4
    • 5
  • Carlos Javier Rodríguez-Solano
    • 6
  • Kan Wang
    • 7
  • Rolf Dach
    • 4
  • Urs Hugentobler
    • 6
  • Markus Rothacher
    • 7
  • Reinhard Dietrich
    • 1
  1. 1.Institut für Planetare GeodäsieTechnische Universität DresdenDresdenGermany
  2. 2.Institut für Geodäsie und GeoinformationstechnikTechnische Universität BerlinBerlinGermany
  3. 3.GFZ German Research Centre for GeosciencesPotsdamGermany
  4. 4.Astronomical InstituteUniversity of BernBernSwitzerland
  5. 5.Institute of Geodesy and GeoinformaticsWroclaw University of Environmental and Life SciencesWroclawPoland
  6. 6.Institut für Astronomische und Physikalische GeodäsieTechnische Universität MünchenMunichGermany
  7. 7.Institut für Geodäsie und PhotogrammetrieEidgenössische Technische Hochschule ZürichZurichSwitzerland

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