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3 Tests and calibration

To determine the internal precision of the combination VP-Observer, a long term test was carried out. Measurements of a constant, uniformly illuminated surface corresponding to a sky brightness of about 21.0 mag/arcsec2 taken over a six-month period, show a rms scatter of 0.05 magnitudes. This value seems to indicate a good eye threshold constancy over long periods of time. Nevertheless, experience suggests that, under typical field conditions, night sky brightness can be measured with a precision of 0.1 mag.


   
Table 1: Journal of V, CCD observations for personal zero point calibration
Telescope dia. [cm] Field Total Sky VP Zero
Site Center Extinction brightness Attenuation Point
    [mag] [mag/arcsec2] [mag] [mag/arcsec2]
15.5 R.A. $18^{\rm h}12^{\rm m}$ 0.24 21.2 6.0 27.2
Balma Lodge Dec.$+41^\circ$50'        
25.5 R.A. $18^{\rm h}12^{\rm m}$ 0.36 20.1 7.1 27.2
Torre Luciana Obs. Dec.$+41^\circ$50'        
100 R.A. $15^{\rm h}39^{\rm m}$ 0.16 21.1 6.0 27.1
VAO Dec.$+0^\circ$15'        

On the other hand, calibration of VP-Observer was performed by simultaneous measurements of night sky brightness using both the VP and CCDs (broadband V photometry). This is necessary because the personal eye threshold may differ from the typical value. This procedure should also account for invisible faint stars that nonetheless contribute to the sky background. The necessary corrections are included in the personal zero point (ZP). A journal of CCD observations for zero point calibration is given in Table 1. Results from aperture photometry show that the author's mean zero point is 27.2 mag/arcsec2. Thus, sky brightness is found subtracting A, given by Eq. (1), from this value, this is:


 \begin{displaymath}
m_{{\rm sky}} = ZP - A
\end{displaymath} (2)

where $m_{{\rm sky}}$ is the sky brightness in mag/arcsec2, ZPis the personal zero point and A is the magnitude attenuation measured by the VP. No colour terms were included in Eq. (2). A yellow filter, such as Wratten No. 15, rejecting the blue wing, could probably improve the spectral band consistency, but this must be confirmed experimentally to justify its use.


   
Table 2: Zenith night sky brightness at selected sites in Venezuela and Italy. Typical values refer to the mode of the distribution
Site   $m_{{\rm sky}}$ Sky brightness
(Latitude, Longitude, Altitude, Population) Date [mag/arcsec2] increase since 1973
    typ. min [mag]
Caracas        
$10^\circ 30\hbox{$.\mkern-4mu^\prime$ }$4N, $66^\circ 54\hbox{$.\mkern-4mu^\prime$ }$1W, 900 m, 1822000 28, 30 Nov. 1997 18.0 - -
Mérida 22 Jan. 1999      
$8^\circ35\hbox{$.\mkern-4mu^\prime$ }$5N, $71^\circ 8\hbox{$.\mkern-4mu^\prime$ }$6W, 1500 m, 171000 20, 21 Feb. 1999 19.6 - -
  19,23,24,25,29 Oct. 1997      
El Valle (Mérida) 3,22 Nov. 1997      
$8^\circ 39\hbox{$.\mkern-4mu^\prime$ }$7N, $71^\circ 6\hbox{$.\mkern-4mu^\prime$ }$5W, 2000 m,- 20, 21, 23, 25 Dec. 1997 20.7 20.9 -
  4 Jan. 1998      
  17, 21 Oct. 1998      
  6, 17, 18, 24 Nov. 1997      
VAO 27 Jan. 1998      
$8^\circ 47\hbox{$.\mkern-4mu^\prime$ }$3N, $70^\circ 52\hbox{$.\mkern-4mu^\prime$ }$0W, 3600 m,- 16 Oct. 1998 21.1 21.3 -
  18 Dec. 1998      
Florence 26, 27 Aug. 1998      
$43^\circ 46\hbox{$.\mkern-4mu^\prime$ }$5N, $11^\circ 15\hbox{$.\mkern-4mu^\prime$ }$0E, 49 m, 402000 19 Sep. 1998 17.5 - 1.4
  19, 26 May 1998      
Luciana (Florence) 16 Jun. 1998      
$43^\circ 36\hbox{$.\mkern-4mu^\prime$ }$6N, $11^\circ 16\hbox{$.\mkern-4mu^\prime$ }$1E, 401 m,- 16 Jul. 1998 20.1 20.3 0.7
  26, 27 Aug. 1998      
Siena 15 Jul. 1998      
$43^\circ 19\hbox{$.\mkern-4mu^\prime$ }$0N, $11^\circ 19\hbox{$.\mkern-4mu^\prime$ }$9E, 345 m, 57000 14 Aug. 1998 19.3 - 1.6
  1, 17, 19, 20, 21, 24, 25 Apr. 1998      
Le Tolfe (Siena) 17, 22, 30 May 1998      
$43^\circ 20\hbox{$.\mkern-4mu^\prime$ }$8N, $11^\circ 20\hbox{$.\mkern-4mu^\prime$ }$3E, 330 m,- 22 Jun. 1998 20.0 20.3 -
  15 Jul. 1998      
  24 Aug. 1998      
S. Omero (Teramo) 29,30 Mar. 1998      
$42^\circ 47\hbox{$.\mkern-4mu^\prime$ }$2N, $13^\circ 48\hbox{$.\mkern-4mu^\prime$ }$1E, 217 m, 5300 21, 22, 23 Aug. 1998 19.2 19.7 2.1
Balma Lodge (Cuneo)        
$44^\circ 13\hbox{$.\mkern-4mu^\prime$ }$9N, $7^\circ 45\hbox{$.\mkern-4mu^\prime$ }$0E, 1883 m,- 24, 25, 26, 27 Jul. 1998 20.9 21.2 0.6

       


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