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3. Data reduction

The plates were digitized in May 1992, at ESO-Headquarters in Garching, Germany, using a PDS 1010A microdensitometer (Eccles et al. 1983) with an aperture of tex2html_wrap_inline2041. The direct filter images were scanned in tex2html_wrap_inline2043 steps in each direction. In the scans of the multislit spectra the steps in the direction perpendicular to the slits was reduced to tex2html_wrap_inline2045, i.e. the spectra were oversampled in dispersion direction.

3.1. Processing the digitized images

Characteristic curve. The characteristic curve of the plates (see Eccles et al. 1983) was determined by a sensitometer calibration. The calibration plate was exposed 600 s using the ESO tube spot sensitometer with a BG18/OG515 filter combination approximating the colour of the phosphor output window of the image intensifier.

Alignment of images. One direct image with the slit pattern superimposed on the comet images was rotated to align the slits to the vertical image axis (see Fig. 1 (click here)). Then all images were adjusted relative to each other by making use of the fixed pattern of the small intensifier spots, existing on all plates. The accuracy of this reduction step in terms of spectral resolution was about 1 Å.

  figure302
Figure 2: Comparison of corresponding pixel values in processed images F167, F168, and F169 with 30, 10, and 3 min exposure

Adjustment of exposure times. The relative intensities of the 3 and 30 min. exposures of each data set were adjusted to the intensities of the 10 min. exposure. The relevant exposure times (Table 1 (click here)) gave adjustment factors of tex2html_wrap_inline2047 and tex2html_wrap_inline2049, respectively. For verification, the intensity values of corresponding pixels in the spectra images were directly compared. Only pixels belonging to a spectrum and the reliable intensity interval of the characteristic curve were selected, pixels of the plate background and of detector blemishes were rejected. For data set B the result is shown in Fig. 2 (click here). About 105 pixel values of the images F167 and F169 are plotted against the value of the corresponding pixels in image F168. In Fig. 2 (click here) the slopes of the straight lines are the exposure time ratios. The deviations from linearity are probably caused by the characteristic curve underestimating the values of the higher intensities. Furthermore, the different airmasses (Table 1 (click here)) in combination with the coefficient of extinction may result in some wavelength dependence of the factors. Therefore, instead of the exposure time ratios empirical factors (Table 1 (click here)) deduced from the pixel comparison itself were applied to the images. Figure 2 (click here) indicates that, after adjusting the exposure times, image F167 was the more important source for low intensities while F169 was more important for high intensities, i.e. the dynamic intensity range of image F168 was effectively enlarged.

Average of images. The averaged multislit spectra image A of a data set was calculated from the three corresponding spectra images I1, I2, and I3, using the equation
 equation317
The weights tex2html_wrap_inline2061 were formed out of mask images tex2html_wrap_inline2063 and error images tex2html_wrap_inline2065 which were created for every spectrum image tex2html_wrap_inline2067. The pixel values of the mask images were set to 1 and 0, respectively, depending on wether the related pixels in the spectra images contained useful spectral information or not. This way, pixel values contaminated by background stars, the fixed pattern of the intensifier spots, scratches on some plates, or limitations caused by the characteristic curve, were marked with 0. The pixel values in the error images were estimated errors of the corresponding pixel values in the spectra images. These error images were created just after applying the characteristic curve to the digitized images, and were processed in the same way.

  figure334
Figure 3: Steps in the data reduction of a cometary head spectrum (marked by an arrow in Fig. 1 (click here)): Extraction a), calibration b), and approximation of the dust continuum c)

3.2. Extraction and calibration of the spectra

Extraction of spectra. The skew between the slit direction and the dispersion in the averaged multislit spectra images was removed by shearing these images parallel to the slits by an angle of tex2html_wrap_inline2073. One-dimensional spectra were then extracted by averaging up to 15 pixel values in slit direction. In Fig. 3 (click here)a an extracted cometary head spectrum is shown. The related slit position is marked in Fig. 1 (click here) with an arrow.

Subtraction of plate background. To correct for the large-scale intensifier background on the plates the nearby emission-free area surrounding each spectrum was used to approximate the individual background for that spectrum. In Fig. 3 (click here)a this approximation is shown as a thin line below the spectrum.

Wavelength calibration. The wavelength calibration was done by identifying spectral emission features of known wavelengths in the cometary spectra and comparing them with maximum intensity wavelengths published by Swings & Haser (1956). The reciprocal linear dispersion of the five spectra columns of data set C for example resulted in 95.2, 94.1, 93.5, 92.1, and tex2html_wrap_inline2075, respectively. The wavelength co-ordinate was rectified with a polynomial of first degree. The NGC 6302 spectrum was extracted the same way as the Halley spectra, but for the wavelength calibration the publications of Aller & Czyzak (1978) and Aller et al. (1981) were used.

Intensity calibration. The extracted spectra were corrected for extinction using the computed airmasses of the the plates with 600 s exposure (Table 1 (click here)) and the nominal ESO coefficient of extinction published by Danks (1983). The intensities of the spectra were normalized to 1 s. To determine the response function of the spectra, the relative line intensities of eight NGC 6302 emission features were integrated and compared to known absolute line intensities (Fig. 3 (click here)b). For this purpose, relative intensities from Oliver & Aller (1969), Aller & Czyzak (1978), and Aller et al. (1981), were calibrated using absolute intensities for tex2html_wrap_inline2077, tex2html_wrap_inline2079, and [OIII], which were deduced from Danziger et al. (1973). The response function was approximated by a Gaussian curve. The calibrated example spectrum is shown in Fig. 3 (click here)c.

3.3. Derivation of absolute intensities

Dust continuum.   In the reduced spectra a contribution of the solar spectrum is visible which is backscattered from the cometary dust grains. In order to model this dust continuum and to create a solar spectrum tex2html_wrap_inline2083 with the resolution of the instrument, the FWHM of the cometary spectra (5.2 Å) was determined from the well resolved emission lines of the NGC 6302 spectrum. Then the solar spectrum published by Kurucz et al. (1984) was convolved with the corresponding Gaussian curve to adjust the spectral resolution. The reddening of the dust continuum of P/Halley with respect to the solar spectrum was considered by applying the following equation of Werner et al. (1989), which is in accordance with the color values presented by Meech & Jewitt (1987) and Thomas & Keller (1989):
 equation374
The resulting spectrum was adjusted to the cometary spectra in a way, that after its subtraction a maximum continuum contribution was removed without leading to negative intensities in the wavelength range between 3750 and 4350 Å. The strength of each approximated dust continuum was then measured in the continuum window at 3650 Å. An adjusted continuum is shown in Fig. 3 (click here)c. Even around 3600 Å the approximation still fits the dust continuum very well.

Molecular bands. To identify the emission features in the cometary spectra they were compared with theoretical and laboratory wavelengths and observed spectra (Gerö 1941; Mrozowski 1947a,b; Swings & Haser 1956; Gausset et al. 1965; Brocklehurst et al. 1972; McCallum & Nicholls 1972; Zucconi & Festou 1985; Arpigny et al. 1986a,b; Magnani & A'Hearn 1986; Jockers et al. 1987; Wyckoff & Theobald 1989; Valk et al. 1992; Kim & A'Hearn 1993, pers. communication; Lutz et al. 1993). The extracted spectra show a large number of cometary emissions of different sources, but for the present paper the stronger and sufficiently resolved emissions rather than tentative identifications were considered. The selected emissions with their peak wavelengths and integration intervals are listed in Table 2 (click here) and marked in Fig. 4 (click here). If possible, we did not rely on the continuum subtraction described in the previous paragraph, but interpolated a so-called pseudocontinuum between long and short wavelength side of the molecular emission. In the case of tex2html_wrap_inline1945 the band intensity was integrated with and without considering a pseudocontinuum. The emission of tex2html_wrap_inline1941 around 4050 Å is mainly contaminated by the tex2html_wrap_inline1943 (3-0) emission, and therefore its integration range was reduced to exclude this contamination. The integrated tex2html_wrap_inline1941 intensities were multiplied with 2.12 to adjust for the whole tex2html_wrap_inline1941 band. This factor was deduced from the strongest head spectrum where the tex2html_wrap_inline1943 (3-0) contamination could be neglected. No emissions of the night sky were found in the spectra.

  figure404
Figure 4: Synopsis of spectra a-f) averaged over different areas of the cometary coma (compare panels g-l) with Fig. 1 (click here))

 

Identification Wavelengthstex2html_wrap_inline2031 Integration tex2html_wrap_inline2103 tex2html_wrap_inline2105tex2html_wrap_inline2027
(Å) (Å) (10-12 erg s-1) (erg-1 s)
CN (0-0) 3882.02 3843 - 3894 .458tex2html_wrap_inline2119 13.68
tex2html_wrap_inline1941 3936.5tex2html_wrap_inline2123, 3963.5, 3992.5, 4019.4, 4037 - 4115tex2html_wrap_inline2127 1.tex2html_wrap_inline2129 13.34
4043.6, 4051.6, 4074.4, 4099.5
CN (0-1) 4214.7 4190 - 4223tex2html_wrap_inline2135 .023tex2html_wrap_inline2137 14.98
CH (0-0) AX 4301tex2html_wrap_inline2023, 4313.2 4294 - 4320tex2html_wrap_inline2135 .1tex2html_wrap_inline2147 14.34
tex2html_wrap_inline1945 (0-1), (1-2) 3674, 3695 3660 - 3700 .012tex2html_wrap_inline2157 15.26
tex2html_wrap_inline1945 (0-1), (1-2)tex2html_wrap_inline2135 " 3660 - 3700tex2html_wrap_inline2135 " "
tex2html_wrap_inline1943 (4-0) 3781.3, 3802.5 3771 - 3810tex2html_wrap_inline2135 .011tex2html_wrap_inline2179 15.30
tex2html_wrap_inline1943 (3-0) 4001.5, 4024 3997 - 4033tex2html_wrap_inline2135 .021tex2html_wrap_inline2179 15.02
tex2html_wrap_inline1943 (2-0) 4250.9, 4273.8 4245 - 4284tex2html_wrap_inline2135 .017tex2html_wrap_inline2179 15.11
Table 2:   Investigated emissions in spectra of P/Halley, and related data

3.4. Molecular column densities

The integrated molecular band intensities I were transformed to column densities N using the fluorescence emission rates g listed in Table 2 (click here) and the equation
 equation501
(see Lutz et al. 1993). The used emission rate for tex2html_wrap_inline1945 is preliminary and may be revised in the future.


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