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8.3 Common Processing Steps

8.3.1 Read SPD header

Operation:  Extract all relevant data from the SPD header.

The keywords from the SPD FITS header are read and stored internally for processing. The information is eventually passed to the AAR product headers. The following items are extracted from the SPD, the symbols in parenthesis will be used in the remainder of this chapter:

Ancillary data required:

SPD product

8.3.2 Read SPD record

Operation:  Extract necessary information from an SPD record.

The following data are taken from each SPD record:

For PHT-C and PHT-S, power, uncertainty, plateau length, and quality flags refer to each pixel separately. The chopper step number is used to check that an on-source and off-source pair are available for each chopped measurement in the AA processing.

Ancillary data required:

SPD product

8.3.3 Determine celestial coordinates of each pixel in record

Operation:  For all SPD records, derive:
(1) the sky position (in RA and Dec) of the detector origin, and
(2) the RA and Dec offsets (in arcsec) for each detector pixel with respect to the raster centre. Overview

For a given SPD record, the position of a pixel on the sky is determined by:

All three instances can occur during the same measurement in case of AOT PHT32 where the chopper is performing a saw-tooth scan using one of the C-arrays while the spacecraft is rastering in spacecraft reference coordinates.

For single pointing photometry the pointing keywords in the SPD product header (Section 8.3.1) are used.

For raster maps the PHT OLP software will determine for each SPD record the equatorial coordinates of the PHT centre field of view thereby considering the raster position as well as a possible chopper deflection. Subsequently, the RA and Dec offsets in arcseconds with respect to the centre of the map or image coordinates are computed. The map centre has been provided by the observer. Finally, the image coordinates for each pixel are derived taking into account the individual pixel offsets and the spacecraft roll angle. Extracting pointing data from IRPH

The instrument reference pointing history (IRPH) contains pointing information expressed in quaternions (see `ISO Handbook, Vol. I: ISO - Mission & Satellite Overview', [20]). The quaternion $Q_{raster}$ that defines the position of the PHT central field of view for a given raster point in the J2000 inertial frame can be computed from:

Q_{raster} = Q_{str} \cdot Q_r \cdot Q_{str/qss} \cdot Q_{qss/pht}
\cdot Q_{cor},
\end{displaymath} (8.1)

where quaternions

The following records are read from the IRPH:

A more detailed description on the contents of the IRPH is given in  `ISO Handbook, Vol. I: ISO - Mission & Satellite Overview', [20]. Note: due to different conventions adopted for the misalignment, Q(str/qss) as given in the IRPH should be converted to the PHT OLP convention:

$Q^{PHT}_{str/qss}(2) = -Q^{IRPH}_{str/qss}(2)$

$Q^{PHT}_{str/qss}(3) = -Q^{IRPH}_{str/qss}(3)$

For each raster record in the IRPH, the following parameters are extracted:

With this information the quaternion $Q_{raster}$ in Equation 8.1 can be derived. Inclusion of chopper information

We define the detector origin to be the centre of the aperture in case of a P detector, the centre of the central pixel 5 in case of C100, and the centre of the array in case of C200.

Assuming a perfect alignment between chopper and spacecraft y-axis, the quaternions representing the rotations of the detector origin with respect to a given raster point are:

Q_{1} = & (0, 0, sin(y_{det}/2), cos(y_{det}/2))\\
Q_{2} = & (0, sin(-z_{det}/2), 0, cos(-z_{det}/2)),\\

where $y_{det}$ is the chopper deflection and $z_{det}=0$ is the spacecraft z-offset.

The quaternion of the detector origin for a given chopper position in a raster can now be computed via:

Q_{chop}= Q_{raster} \cdot (Q_1 \cdot Q_2),
\end{displaymath} (8.2)

where $Q_{raster}$ is the raster point quaternion as derived in Equation 8.1. $Q_{chop}$ can be converted to RA ($\alpha$), Dec ($\delta$), and Roll-angle ($\phi$) according to standard quaternion transformation:

sin(\delta) & = & 2Q(1)Q(3)-Q(2)Q(4)\\
sin(\phi)cos(\delta) & = & 2Q(1)Q(4)-Q(2)Q(3).\\

8.3.4 Determination of the equatorial offsets of the detector centre

We define the detector centre to be the centre of the aperture in case of PHT-P or the centre of a detector pixel in case of PHT-C. Note that for PHT-P the detector origin and centre are identical.

Based on the position of the detector origin the detector centre is obtained. For a given record the sky position in RA and Dec of the detector origin is converted into offsets ( ${\Delta}\alpha$ and ${\Delta}\delta$) with respect to the centre of the raster (${\alpha}_c$, ${\delta}_c$). The offsets are aligned with the RA and Dec axes in the equatorial coordinate system.

For each pixel the RA and Dec offsets with respect to the detector origin are computed from the detector roll angle and the relative pixel positions. It is assumed that the pixels are positioned in an idealized configuration:

Adding the offsets of the detector origin this will give the map offsets in arcsec for any raster position, detector pixel, and chopper plateau combination.

Ancillary data required:

  1. SPD product
  2. IRPH product

next up previous contents index
Next: 8.4 Photometry Up: 8. Data Processing Level: Previous: 8.2 PHT Auto Analysis
ISO Handbook Volume IV (PHT), Version 2.0.1, SAI/1999-069/Dc