Astron. Astrophys. 355, 915-921 (2000)
3. Discussion
The periodic light curve of OJ287 was explained by the beaming of
the optically thin radiation originating in a relativistic precessing
jet as it approaches the line of sight. The work of Katz (1997)
demonstrated the possibility of having precession periods of only a
few years in a binary black hole system when the accretion disk of the
primary does not coincide with the orbital plane. Pairs of black holes
can be formed as a consequence of interactions and eventually merging
of galaxies. The difference in position between the BL Lac object
OJ287 and the center of the faint underlying nebulosity could be
considered as observational evidence of this merging phenomena (Heidt
et al. 1999).
A moderate value of was found for
the jet, in contrast to the value of 20 estimated by Katz (1997). The
discrepancy is due to a misinterpretation of the relation between the
duration of the periodic optical flares and the orbital phase, since
it was not taken into account the fact that the precession velocity is
not constant in the observer reference frame (Abraham & Carrara
1997).
The projected angle of the jet in
the plane of the sky vary between
and . The kpc scale jet is initialy
directed along (Perlman &
Stocke 1994), well within the allowed jet directions. Gabuzda &
Cawthorne (1996) found two new features (K4 and K5) in the VLBI map of
OJ287 for epoch 1990.47. Their position angles are compatible with the
precessing jet model, allowing for the uncertainties introduced by the
poor coverage of the uv plane in the north south direction. The
predicted velocity would be , not
very different from the velocities of the other features. K5 can be
identified with feature A in the 43 GHz map at epoch 1991.27 (Tateyama
et al. 1996) and in the maps of Marscher & Marchenko (1997) as the
features furthest from the core in the first four maps.
Close to the epoch of the 1994 flare, it was found a periodicity in
the formation of superluminal features of about one year in the
reference frame center at the source, which corresponds to about
in the precessing jet phase. The
superposition of closely spaced trajectories at the epoch of maximum
approach to the line of sight can account for the second flare,
observed both at radio and optical wavelengths, about one year after
the periodic flares.
The superluminal features found by Tateyama et al. (1999) in the
analysis of Geodetic VLBI data at 8.3 GHz have velocities larger than
those found by Gabuzda & Cawthorne (1996) at earlier epoch, which
were used in the fitting of our model. We belive that the discrepancy
is due to the small number of components allowed in the model fitting
and the incomplete coverage of the time series in the Geodetic
data.
The angle between the jet and the line of sight varies between
and
, the corresponding Doppler factors,
for are, respectively, 12.8 (during
the outbursts) and 1.1 (most of the time). Madejski & Schwartz
(1983) calculated the beaming factor
from the ratio of the measured X-ray fluxes and those expected from
the synchrotron self-Compton process and obtained the values of 0.47
and 1.7, depending on the choice of the synchrotron self absorption
frequency. Madau et al. (1987), on the other hand, reported a value of
8.7 using similar data, the difference being the choice of the
geometrical parameters. Considering the large uncertainty in the
values estimated for , the prediction
of the precessing jet model seems reasonable, it accounts for boosting
and fast variability during the strong flares and it can probably
accommodate the observed X-ray emission when no beaming is
present.
The model can also explain the high degree of polarization detected
in component K2 by Roberts et al. (1987), if the shock moves with a
speed in the reference frame of the
jet. The Doppler factor introduced by this velocity is very close to
unity and does not affect the boosting properties of the model.
© European Southern Observatory (ESO) 2000
Online publication: March 21, 2000
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