The results
The results comprise plots of the differences between the
centroids derived with and without REMSKY. The plots below show the
errors in azimuth
and elevation plotted against the brightness of the source weighted
by the number of integrations. The plots on the left show errors
of as much as +10", while those on the right zoom in to the
errors between +1" :
| Error type |
+ 10 arcsec |
+ 1 arcsec |
|
DAZ
|
|
|
|
DEL
|
|
|
As expected the errors increase exponentially for fainter sources and/or
shorter integrations. There is some quantization at the 0.1" level of the
elevation residuals generated by the centroid analysis -
otherwise, the distributions of errors appear to be unbiased.
The vector errors ( = (daz2 + del2)0.5)
are shown below :
|   |
+ 15 arcsec |
+ 2 arcsec |
|
VECTOR
|
|
|
The 'fluxes' are roughly in Jy. The faintest of the blazars we use
are quoted as roughly 0.3Jy (at 1.1mm, actually - so they'll be a
little fainter at 850um), while 3c273 is 10Jy at 1.1mm and Uranus
is approximately 60Jy at 850um. The brighter sources are
usually well observed with N_integrations=2, and so the x-axis value
of zero corresponds to a 1Jy source observed for N=2, or a 0.5Jy
source observed for N=8 etc.
Faint sources will require increased numbers of integrations
to provide pointing accuracies similar to brighter sources (obviously !),
and exactly how many more integrations are needed may now be judged from
these plots.
The previous diagram is plotted again with a green line dividing, roughly
equally, the number of points above and below it :
Some data lying particularly far above the line are more
likely to be rejected by a critical observer, (and so the line represents
only a guide to the average difference at any flux level), although
others represent cases when
REMSKY
has provided exactly the improvement in analysis that is expected of it !
Conclusion
The following table shows, for N_integrations=2, the variation of desired
accuracy with source strength
independent of the activation status of REMSKY; i.e.
this is a parameterization of the green line :
| x
| -0.3 |
-0.2 |
-0.1 |
0.0 |
0.2 |
0.4 |
0.6 |
0.8 |
1.0 |
1.5 |
2.0 |
| Accuracy(")
| 0.20 |
0.15 |
0.13 |
0.12 |
0.09 |
0.08 |
0.06 |
0.05 |
0.04 |
0.02 |
0.01 |
Recall :
- x = log((Source Strength/Jy)*(N_integrations/2)0.5), so
x=0 may correspond to (1Jy, N=2), or (0.5Jy, N=8) etc.
The table implies, somewhat surprisingly, that on average it
matters little whether