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ISOCAM Interactive Analysis User's Manual Version 5.0 - ISO - ESA

ISOCAM Interactive Analysis User's Manual Version 5.0 - ISO - ESA

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330 APPENDIX E. <strong><strong>ISO</strong>CAM</strong> ASTROMETRY: ANGLES AND COORDINATES<br />

By construction, The M+ axis is identical to the Y+ axis while the N+ axis is in opposition<br />

to the Z+ axis.<br />

• α is the roll of the camera, as in Figure E.1. In the raster PDS α is found in the fields<br />

.ANGLE RASTER and .INFO.ROLL. In the the SCD and SSCD, it is simply the field<br />

.ROLL.<br />

• β is the so-called SSCD and raster PDS field .RASTER ROTATION. It is the position<br />

angle of the M+ axis of the raster, i.e. the angle between the celestial North and the M+<br />

axis, counted positively eastward.<br />

In a Y-axis raster, RASTER ROTATION cannot be specified by the observer at the PGA<br />

level, and a very simple relation links it with the roll angle:<br />

β = α +90 ◦<br />

or<br />

RASTER ROTATION = ROLL + 90 ◦<br />

These rasters can be reconstructed quite straightforwardly as the camera’s axes are parallel<br />

to the raster axes.<br />

E.1.3<br />

Rasters referenced to the celestial North axis<br />

These rasters are called in short ‘North axis’ rasters. An example of such a raster is shown in<br />

Figure E.3. These rasters can generate quite some confusion.<br />

First, to program them, the observer had to specify the raster’s position angle, but could<br />

only supply one comprised between 0 ◦ and 180 ◦ (in PGA this parameter was called orientation<br />

angle). Therefore there is a 180 ◦ uncertainty between programing and reality (see Section E.2 to<br />

remove that uncertainty). In this section we are only concerned with ‘reality’, what has actually<br />

been performed.<br />

Second, before reconstructing the raster, images have to be rotated by a certain angle. This<br />

angle is not written in the data but has to be derived from the two others that we know already,<br />

α and β. Figure E.3 show these angles, their definition follows:<br />

• α is the roll angle of the mosaic, also called ANGLE RASTER in CIA structures.<br />

• β is the true RASTER ROTATION comprised between 0 ◦ and 360 ◦ .<br />

• γ is the angle between the M+ and Y+ axis, measured in the direct trigonometrical sense<br />

from the M+ axis to the Y+ axis.<br />

Note that in that case, α and β cannot be deduced from one another.<br />

Given that the rasters are reconstructed with the M+ axis as horizontal axis and the N+<br />

axis as the vertical axis, prior to project an individual position in that image, the data have to<br />

be rotated by γ. Looking at Figure E.3, one has:<br />

γ = α − β +90 ◦<br />

or<br />

γ = ROLL - RASTER ROTATION + 90 ◦

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