NATIONAL RADIO ASTRONOMY OBSERVATORY
Green Bank, West Virginia
DATE:
TO: VLBI Network
FROM: R.J. Maddalena
SUBJECT: NRAO-GB 140-ft telescope calibration, 5 GHz, September 1992
Calibration of Antenna Efficiency
The temperatures used throughout the calibration of antenna efficiency, etaA,
were determined from pointing and source temperature measurements obtained
during the VLBI session. A total of 239 measurements provided adequate sky
coverage (Fig. 1) for a good measurement of efficiency.
The antenna temperatures used in the calibration were not corrected for the effects of the atmosphere. The sources and flux densities given in Table 1, in combination with the weighted average of the measured antenna temperatures for those sources when they were within 2 hours of the meridian, were used to establish the dependence of etaA on declination at zero hour angle. (etaA, when the physical aperture of the telescope is used A equals 1.93 TA/S where S is the 5 GHz flux in Jy.). At 6 cm, efficiency does not change much with declination along the meridian. The flux densities in Table 2 were determined from the meridian efficiency and the weighted average of TA when the source was within 2 hours of the meridian.
The fluxes from table 1 and 2 and the measured TA at the points
indicated in Figure 1 were used to estimate etaA across the sky;
spherical harmonics were then fit to the values of etaA. The
coefficients found from the fit are given in Table 3 while the efficiency
surface is shown in Figure 3. The derived efficiency is almost identical to what
has been derived before.
Figures 4 - 30 display as functions of hour angle, the measured and
calculated efficiencies located at the indicated declinations.
Table 1: Primary Calibrators
0237-23 3.30 ± 0.73 (2)
0521-36 8.11 ± 0.07 (1)
0851+20 2.60 ± 0.05 (1)
0917+624 1.51 ± 0.01 (1)
0954+556 2.19 ± 0.52 (2)
2021+61 2.67 ± 0.05 (1)
2203-18 4.03 ± 0.04 (1)
3C123 16.5 ± 1.12 (4)
3C147 7.99 ± 0.57 (3)
3C161 6.63 ± 0.55 (3)
3C218 13.5 ± 1.7 (3)
3C231.0 3.74 ± 0.67 (2)
3C274 60.5 ± 0.8 (4)
3C295 6.38 ± 0.56 (3)
3C309.1 3.49 ± 0.34 (2)
3C330 2.16 ± 0.38 (2)
3C348 12.0 ± 0.1 (1)
3C433 3.85 ± 0.34 (2)
3C438 1.52 ± 0.13 (2)
3C454.3 8.92 ± 0.08 (1)
3C48 5.25 ± 0.40 (3)
NGC 7027 5.45 ± 0.05 (1)
OQ208 2.56 ± 0.05 (1)
(1) Previous reports on the calibration of the 140-ft telescope.
(2) Kuhr et al. (1981, Astr. Ap. Suppl., 45, 367).
(3) Baars et al. (1977, Astr. Ap., 61, 99).
(4) U.S. VLBI Network Handbook
Table 2: Secondary Calibrators
1518+047 2.35 ± 0.04
3C345 7.50 ± 0.12
Table 3: Result of Fit
A10 = 0.0333 ± 0.0079
A11e = 0.0524 ± 0.0096
A20 = 0.0021 ± 0.0086
+ A20Y20
where: Y00 = 1
Y10 = cos(theta)
Y11e = sin(theta) cos(phi)
Y20 = 3/2 cos2(theta) - 1/2
and theta = 90-Dec, phi = hour angle in degrees.