The improvements in aspect solution by reprocessing are
examined. The goal is to set limits for the rms of y and z positions
of guide stars that prevent
noticeable degradation in image reconstruction due to a poor aspect
solution. In addition, it is desirable to set limits that will avoid unnecessary
reprocessing of data. A limit of 0.05 arcsec for the rms of residuals
for the actual aspect solution (a measure of the image bluriness
introduced by aspect) is considered to be the reasonable limit that satisfies both of these conditions.
A warm pixel in the ACA CCD is one of the major reasons for a less than
acceptable aspect solution as identified in V&V. A warm pixel located in the
centroiding box for a guide star will introduce periodic fluctuations
into the computed mean position of the guide star. The
effect manifests in processing as the centroid is 'pulled' from the
true position of the star. Degradation in centroiding results in large
residuals for the affected slot. Large enough residuals can introduce
aspect-originated degradation in image resolution of x-ray
data. Observations that suffer from warm pixel contamination of a
guide star slot are readily reprocessed with removal of the offending
slot.
Analysis
The differences in the aspect solution between processing versions
with unacceptable residuals for a guide star slot and the corresponding reprocessed versions
with the offending slot removed from the aspect solution were examined
for 22 recent observations. The root sum of squares for the rms in y
and z for the offending slot (BAD SLOT RSS-RMS), used as a measure of
the degradation suffered in the aspect solution, were compared
to the change in the root sum of squares of the rms in y and z for the
overall aspect solution (ASPECT RSS-RMS), used as a measure of the
differences in the quality of the aspect solutions between the two
versions. The relevant equations summarized here:
Dy_i, dz_i = star centroiding residual for measurement 'i' after
applying aspect solution
BAD SLOT RSS-RMS = sqrt( Sum_i (dy_i^2 + dz_i^2)/N )
dPitch_i, dYaw_i, dRoll_i = relative difference in attitude of aspect
solution processed WITH bad star relative to aspect solution
processed WITHOUT bad star
ASPECT RSS-RMS = sqrt( Sum_i (dPitch_i^2 + dYaw_i^2)/N )
The BAD SLOT RSS-RMS ranged from 0.1 to 0.8 arcsec. The ASPECT RSS-RMS
ran ged from 0.015 to 0.200 arcsec. It was found that a 0.1 arcsec BAD
SLOT RSS-RMS corresponds to approximately 0.025 ASPECT RSS-RMS on
aver age (See plots below). This change in rms is taken as the image bluriness
introduced by aspect.
Setting V&V Limits
Evaluation of the aspect solution in V&V is decomposed into y and z
directions. Therefore, a reasonable limit is articulated in terms of y
and z, rather than in terms of the BAD SLOT RSS-RMS of y and z. It was found that a limit of 0.15
arcsec rms in either y or z direction of a star slot identified obsids
that lead to a change of approximately 0.05 arcsec in ASPECT RSS-RMS (See
plot below). More
impor tantly, this selection criteria did not allow observations with
ASPECT RSS-RMS > 0.05 arcsec to pass as ``Good'', and the observations
identi fied as having bad aspect solutions demonstrated improvement
of > 0.04 arcsec.
A comparison among different selection criteria was performed with
results from limits set to the rms in either y or z position at 0.1
arcsec and 0.2 arcsec limit for rms in either y or z (See plots
below). Setting the ``good aspec'' limit to 0.2 arcsec would result in
passing data that would not meet the 0.05 arcsec criteria. Setting the
``good aspect'' limit to 0.1 arcsec would result in the unnecessary
reprocessing of data without significant improvement in aspect.
Summary
The improvement of aspect solution after reprocessing with the removal
of a ``bad'' guide star slot was investigated. Different selection
criteria for reprocessing were investigated, and it was found that a
limit of 0.15 arcsec rms in either y or z for an individual star slot
maximized the efficiency of selecting data to be reprocessed under the
0.05 arcsec rms for the overall aspect solution.
John Bright
Last modified:
03/17/03