Up: Statistical analysis of the
Solar activity indications do not occur evenly on the solar disk. It is
well known that many types of solar phenomena exhibit some N-S
asymmetry distributions (Reid 1968;
Hansen & Hansen 1975; Roy 1977;
Swinson et al. 1986; Verma 1987;
Verma et al. 1987; Garcia 1990;
Oliver & Ballester 1994; Atac & Ozguc 1996;
Joshi 1995; Heras et al. 1996).
One of the first studies
concerning the N-S asymmetry was made by Newton & Milson (1955),
who
studied the distribution of the yearly values of sunspot areas from 1874
to 1955.
Later on, different studies of
N-S asymmetry have been made based on different types of solar
phenomena,
relative sunspot numbers, sunspot areas, sunspot magnetic classes,
sudden disappearances of solar
filaments, type II radio bursts, white-light flares, gamma-ray bursts,
hard
X-ray bursts, events of coronal mass ejection, and X-ray flares (see the
above
references). These investigations have
demonstrated the existence of a N-S asymmetry,
its quasi periodic behavior of 11 years and its correlations with some
phase difference with other physical phenomena.
Although the existence of N-S asymmetry in solar activity is generally
well established, it is not so well interpreted
(Carbonell et al. 1993).
Garcia (1990) studied the N-S asymmetry of large flares based
on X-ray
observations from GOES
satellites during Solar Cycles 20 and 21. He shows that the spatial
distribution
of flares varies with solar cycle such as that the preponderance of
flares occurs in the North
in the early part of the cycle and moves south as the cycle progresses.
Bai (1987, 1988) remarked
that active regions producing flares and active regions with low activity
could originate from
different levels of the convection zone. The first class of active regions
could come from superactive zones with rotation periods substantially
shorter than
the Carrington rotation period and comparable to that of large scale
magnetic polarity patterns (McIntosh 1981).
McIntosh et al. (1985)
proposed that this
large scale pattern is
the result of giant convective cells. The association of these
observations leads Garcia to think that
flares originate in active regions anchored
deep in the convection zone, may be at the boundary of giant cells.
So there is, may be, a relationship between the asymmetries and
giant convective cells.
A global convection pattern was
recently
discovered by analysing the data of MDI aboard
SOHO (Kosovitchev et al. 1997) and large torsional zones have been confirmed.
The existence of the torsional oscillations
could be related to the rolls defined by Ribes et al. (1993)
using young spots
as
tracers.
They show that the rolls parallel to the equatorial plane describe well the
meridian circulation. The number of such convective rolls
changes according to the phase of the solar cycle from 3 at the onset of
the cycle to 1 at the decay of the cycle. Because the sun is
a non rigid body in rotation, the meridian
circulation has as a consequence the differential rotation of the surface due
to the transport of momentum and magnetic activity.
All these works would give a new view on the solar dynamo phenomenon.
On the other hand, Verma (1987) who was working on 3
Solar Cycles 19, 20 and
21 with different indicators
found that asymmetries in all phenomena prevailed in the north during
cycles 19 and 20 and in the south in cycle 21. This would indicate that
superimposed
on the well observed periodicities of 11, 22 years a much longer
cycle of unknown duration
does exist.
The existence of a E-W asymmetry is more controversial.
During short periods (1978-1980) heliolongitudinal distribution
of intense flares shows an important asymmetry towards the east and it has been
related to the large number of
interplanetary shocks observed in the
eastern hemisphere (Hewish & Bravo 1986).
Horas et al. (1990) found a pronounced asymmetry of flares and
subflares between 1976-1985,
although the asymmetry was much more important during periods close to the
minimum of solar activity while around the maximum it was very small.
Joshi (1995) using H
flares found no E-W asymmetry for Solar Cycle 21
and a small asymmetry during
the Solar Cycle 22.
There is no obvious reason why the W-E asymetry should exist over a long
period. Some ideas have been proposed
to explain why we could find a E-W asymmetry. Some gravitational effects with
the interaction of Jupiter have been suggested in the past but it does not seem
very promising (Kleczek private discussion). An other possibility is the
influence over a few solar rotations of the transit of active flaring regions on
the solar disk (Heras et al. 1990). In fact preferred heliolongitudes for solar
activity
have recently been pointed out by Bai (1987, 1988). Finally an other idea would
be due to
the pure geometry of the magnetic field in the sunspots. According
to Bai (1988)
and McIntosh (see above) the active regions are anchored deep in the convective
zone. In these regions there are strong magnetic shears. The magnetic field
lines when they emerge at the solar surface would have some inclination. So the
area of sunspots could have different sizes in the western and in the eastern
hemispheres according to the inclination of the field lines. If the angle is
similar
to this of the prominences, inclination of 15 degrees with the vertical towards
the west (Tandberg-Hanssen 1974), the area of the sunspots should be larger on
the eastern than on the western side. Again this is a topics of great importance
with the recent development of seismic approachs with SOHO/MDI
(Braun et al. 1993).
In this paper, we have used
the data of the X-ray flares (
) during the maximum period of
the 22nd
solar cycle in order to investigate the behavior of asymmetries:
W-E asymmetry as well as N-S asymmetry in order to complement the work
done by Garcia (1990) for the previous solar cycles and to compare with the
results of Joshi (1995) and Heras et al. (1990) concerning Solar Cycle 22 but
using other
indicators. We also study
distributions of the flares with respect to
the longitude. We confirm our results by using probability laws in order to
check if they could be obtained quite by chance.
Up: Statistical analysis of the
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