Herein is contained a quick look at the 2MASS/Tycho-2 difference statistics
for what are believed to be the worst scans (highest position errors)
contained in the 2nd Incremental Release. The 2MASS/Tycho-2 matches and residuals
were kindly supplied to me in an unidentified-source form by Dave Monet,
who enjoys pre-release access to Tycho-2. My thanks to Dave.
Two sets of scans from the 2nd Incremental Release were selected as having position
reconstruction problems, independent of any comparison to the Tycho-2.
The first set of 421 scans was simply composed of those which, because of
ACT counts or distribution, did not meet the criteria for an ACT reconstruction.
These scans were reconstructed using the lower-accuracy higher-density
USNOA as the reference catalog. The pipeline switched from USNO-A1.0 to
USNO-A2.0 on the processing date of Sept. 16, 1998 and all but a handful
of the 421 "non-ACT recon" scans were processed with version 2.0.
The second set of 184 problem scans was obtained by selecting all scans where
the martinizing
algorithm wanted an adjustment in excess of 0.75 asec in either direction,
on any one of the 12 scan segments. This resulted in 208 scans, which then
dropped to 184 when "non-ACT-recon" scans were removed. The resulting
group of 184 scans will be referred to as the "prob-ACT-recon" set.
At first it might seem odd that there is so little overlap between the two
lists. This can be explained by the fact that the "non-ACT-recon" scans
were reconstructed with the much higher density USNOA. Although the
USNOA is far less accurate than the the ACT, it's higher density generally
prevents the solution from random-walking off to really large errors.
This point is illustrated by histograms of the 2MASS/Tycho-2 residuals.
Although residuals for all 421 "non-ACT-recon" scans have been provided,
residuals for only 102 of the 184 "prob-ACT-recon" scans are as yet
available. Dave was given the second set some time after the first.
Figure 1 and
Figure 2
histogram cross-scan differences for the
"non-ACT-recon" and "prob-ACT-recon" sets, respectively. Note that
although the cross-scan sigma is sightly higher for the "prob-ACT-recon" set
(0.54 vs 0.47 asec) it is driven by the long tails. The FWHM of the
"prob-ACT-recon" distribution is in fact half as wide as that of the
"non-ACT-recon" distribution.
Figure 3 and
Figure 4
repeat the histograms
for the in-scan differences. Once more the "prob-ACT-recon" sigma is slightly
higher (0.45 vs 0.37 asec) but it's FWHM is only half as wide. Note also
that the "non-ACT-recon" set has a quarter arc-second in-scan bias which
is not present in the "prob-ACT-recon" set.
In closing, it should be pointed out that problem scans discussed here
are very much in the tails of the overall distribution of residuals.
Dave Monet reports overall 2nd Incremental Release sigmas for the 2MASS/Tycho-2
differences of 0.18 and 0.17 arc-seconds for cross-scan and in-scan
respectively. It remains to be demonstrated that the 2MASS position
uncertainties conservatively reflect the errors associated with these
problem scans. Once the associated position uncertainty data are made
available to me, I will amend this URL to include a chi-squared analysis.
http://spider.ipac.caltech.edu/staff/hlm/2mass/fall99tails/fall99tails.html
Comments to: Howard McCallon
Last update: 22 December 1999