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Naval Meteorology and Oceanography Command U.S. Naval Observatory
Sunday May 28, 2017

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USNO Global VLBI Solution crf2003a

Presented here is the U.S. Naval Observatory's crf2003a global solution. Parameterization of this solution follows that of the International Celestial Reference Frame (ICRF) solution (Ma et al. 1998, AJ, 116, 516) but includes several analysis improvements, the most important of which are 1) using the Niell Mapping Function to model the troposphere, 2) more frequent estimation of troposphere gradients (once every 6 hours instead of once every 24 hours as was done for the ICRF) and 3) a priori mean gradients computed from a GSFC Data Assimilation Office model for meteorological data from 1990-95. The solution also includes more than 7 years of new data (including most of the VLBA RDV experiments from RDV01 to RDV35).

The resultant global SOLVE solution includes most available VLBI observations at 8.4 GHz (X-band) and 2.2 GHz (S-band) from 3 August, 1979 through 23 January, 2003. This includes a total of 3431 diurnal sessions encompassing 3,637,880 measurements of group delay. The weighted root-mean-square residuals of the solution were 22.913 ps in delay (delay rate was not used in the solution). The SOLVE batch control file crf2003a_02.cnt.gz was used to generated this solution with an output spool file crf2003a_02.spl.gz. Tabulated below are the global and session values for the solution.

Source and Station Positions

Positions of 582 sources were estimated as global parameters. Positions for an additional 158 sources (including 3 radio stars) were estimated for each session independently as local parameters. A total of 76 sources with either no good observations or with bad data were excluded from the solution. Positions of all 122 stations were estimated as local (session) parameters.

Tabulated data.

*Global source positions crf2003a_02.sou_gsnoop.gz IERS format (gsnoop)
Global source positions crf2003a_02.sou.gz format description
Local source positions crf2003a_02.lso.gz format description
*Local source positions (weighted mean & wrms) crf2003a_02.sou_gsnoop_wrms.gz IERS format (gsnoop)
Local baseline vectors crf2003a_02.bas.gz format description

*Note: the complete set of 740 source positions can be obtained by down-loading these two files. The positions for the local sources are weighted mean positions. The position uncertainties for the local sources are the weighted root-mean-square deviations from the weighted mean positions.

Earth Orientation Parameters

Daily nutation offsets in longitude and obliquity were estimated for each session separately.

Tabulated data.

EOP time series, IVS format crf2003a_02.eob.gz format description
Nutation angles crf2003a_02.nut.gz format description

Comparisons

Shown below are comparisons of the USNO crf2003a source positions with the ICRF Ext.1 and USNO crf2002a source positions. The weighted rms differences are at the end of the difference tables.

Tabulated data and plots.

crf2003a_02 minus ICRF Ext.1 Defining Difference Table Aitoff Plot: PS, JPG
crf2003a_02 minus ICRF Ext.1 Difference Table Aitoff Plot: PS, JPG
crf2003a_02 minus crf2002a Difference Table Aitoff Plot: PS, JPG

Position Time Series

Three additional solutions were made with identical parameterization and data as for crf2003a_02. In each of these three solutions, one third of the sources were estimated as "arc" parameters (all other sources were treated as global). The SOLVE BATCH control files for these additional solutions are available here (crf2003a_01_pts1.cnt.gz, crf2003a_01_pts2.cnt.gz, crf2003a_01_pts3.cnt.gz). Daily nutation offsets in longitude and obliquity were estimated for each session separately. Results are presented in the following tables.

Tabulated data.

crf2003a_pts1 Nutation angles crf2003a_01_pts1.nut.gz format description
crf2003a_pts2 Nutation angles crf2003a_01_pts2.nut.gz format description
crf2003a_pts3 Nutation angles crf2003a_01_pts3.nut.gz format description

Tabulated statistics and plots.

Min obs/pos: 1; Max Sigma/pos: NONE (i.e. all data)
Wrms Table, PS, JPG; "arc" wrms and Chi^2/df (df=degree of freedom)
Positions Table in IERS (gsnoop) format; "arc" weighted mean and wrms
"Arc" Position Plots (PS, one file ~9.6 MByte)

Min obs/pos: 3; Max Sigma/pos: 1 mas
Wrms Table, PS, JPG; "arc" wrms and Chi^2/df (df=degree of freedom)
Positions Table in IERS (gsnoop) format; "arc" weighted mean and wrms
"Arc" Position Plots (PS, one file ~7.9 MByte)

crf2003a_02 global minus "Arc" weighted mean Difference Table Aitoff Plot: PS, JPG

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