next previous
Up: Variability in blazars

5. Model and discussion

Ten out of eleven blazars in this paper and in Guibin et al. (1995) are radio loud sources with a radio flat spectrum, other one PKS 1618+177 is a object with a radio steep spectrum. The objects with a flat spectra exhibit day-to-day variability except for PKS 2128-123, and seven such objects show a more rapid variability with timescales of tens minutes to 2 hours. In all probability, variability at the shortest time scales is intrinsic (Wagner et al. 1995 and references therein). Relativistic beaming model can provide an explanation of the variability of blazars. The efficiency for conversion of accreted matter into energy in a spherical, homogeneous, non-relativisticaly beamed source is given by


equation327
where tex2html_wrap_inline1411, in tex2html_wrap_inline1413, is the variation in luminosity within the time interval tex2html_wrap_inline1415 in seconds. Relativistic beaming is infered if the value of tex2html_wrap_inline1417 exceeds 0.1 (Guilbert et al. 1983). Table 3 (click here) gives the luminosity and the efficiency for objects with flat spectra except for PKS 0422+004, assuming H0 = 50 km tex2html_wrap_inline1421 and q0=0 and performing the K-correction and correction of the galactic extinction. The bolometric luminosity L, the efficiency and the Doppler factor tex2html_wrap_inline1427 are given in Cols. 6, 7 and 8 respectively, the timescale tex2html_wrap_inline1415 and amplitude tex2html_wrap_inline1431 of variability observed at the magnitude mv are also listed, taken from this paper and from Guibin et al. (1995) and from another paper submitted to Atex2html_wrap_inline1435A for OJ 287. The observed values between brackets are from Barbieri et al. (1979) for PHL 658, Kidger et al. (1990) for 3C 345 and Moles et al. (1985) for 2128-123. The B mag given by Barbieri et al. (1979) and Kidger et al. (1990) and the I mag for OJ 287 were normalized to the value in V band (showed between brackets) using the known colour index and assuming that the variations in V band are the same as those in B and I band. The value of tex2html_wrap_inline1427 is calculated according to the formula and the parameter values given by Ghisellini et al. (1993) except for the parameters of Fx and tex2html_wrap_inline1455 that are replaced by the flux at the corrected V magnitude during our observations of variability and by tex2html_wrap_inline1459 respectively.

It will be seen from Table 3 (click here) that the efficiencies derived from our observations are larger than 0.1 except for PHL 658, 3C 345 and 3C 120. However, other observations show that tex2html_wrap_inline1461 0.1 for PHL 658 and 3C 345; The tex2html_wrap_inline1427 values for the objects are larger than one except for PKS 0754+101 and PKS 2254+074, both of which have tex2html_wrap_inline1465. If tex2html_wrap_inline1465, the Doppler factor should be larger than one in the relativistic beaming model. In conclusion, it seems that relativistic beaming exists for all objects.

  figure344
Table 3: Properties of nine objects with flat spectra and known redshifts

Acknowledgements

The authors express their thanks to staff of the Yunnan Base, Optical Union Opening Observatory and of the computer department for their assistance during observations and data processing. We thanks the astronomical committee of the Chinese Academy of Science for financial support.


next previous
Up: Variability in blazars

Copyright by the European Southern Observatory (ESO)