L. P. Shadrina, S. A. Starodubtsev, and I. Ya. Plotnikov
Institute of Cosmophysical Research and Aeronomy, Yakutsk, Russia
Received 18 April 2001, published online 8 October 2001
As it is known, Forbush decreases of cosmic ray intensity and geomagnetic storms are produced by large-scale solar wind disturbances. The observations at the Earth show that quite often, these events occur separately, and in this case, the amplitudes of events are far less than during their simultaneous occurrence. We used these facts [Shadrina et al., 1996] for so-called "Forbush-storm classification of the events." This classification is used to identify the magnetic and plasma structures of interplanetary disturbances. Further investigations have shown that the joint or separate course of the effects in cosmic rays and the geomagnetic field strongly depends on the location where the Earth intersects the disturbed region, i.e., on the orientation of the disturbance boundary with respect to its comparatively small angular size [Cane et al., 1994; St. Cyr et al., 1999]. To define the role of the heliolongitudinal factor arising in this case, it is necessary to use in situ multisatellite observations.
In the majority of similar papers [e.g., Cane et al., 1994; Gonzalez et al., 1999; Tsurutani et al., 1988; Zhang and Burlaga, 1988], most of the attention was given to intense ground events that usually occur during central passages of the Earth through the disturbed region by using data from the spacecrafts located not far from each other. Contrary to those studies, we use spacecraft data when they are separated by distances compared with the size of the disturbed region. The aim of our paper is to study the role of the heliolongitudinal factor in producing the ground events (cosmic ray intensity decreases and geomagnetic storms) when the Earth passes through the flanks of solar wind disturbances.
We examined the solar wind plasma and magnetic field data from the well-known OMNI and COHO databases together with the ground-based observations of the cosmic ray intensity and the geomagnetic index Dst. For the analysis we have chosen the events when the disturbance was detected at the Earth and at one of the Helios (1 or 2) spacecrafts, but it was notregistered at the other one.
Eighteen similar events for 1977-1980 (see Table 1) have been selected. The year, day, and delay time ( Dt ) of the events observed at the Earth and by Helios 1 and Helios 2 are listed in the columns 2, 3, and 4. Columns 5, 6, 7, and 8 present the radial distances of Helios 1 and Helios 2 from the Sun ( R1 and R2 ), the heliocentric angle between the Earth and the Helios, which detected the disturbance ( Da ), and the heliocentric angle between Helios 1 and Helios 2 ( Da12 ). Angle g is listed next. This is the angle of inclination of the disturbed region boundary to the Sun-spacecraft line. The last two columns show the class of the event defined by two independent method: "Class d" and "Class g."
Substituting SB=SK1 cos(Da)=R1 cos(Da) and BA=SK1 sin(Da)/ tan(g), and bearing in mind that DR RDa, we obtain
Figure 2 illustrates the relationship of the heliolongitudinal factor, which can explain four classes of the events in cosmic rays and the geomagnetic field introduced by Shadrina et al.  to angle g. One can see from the sketch that g is about 0o for the central intersections has large positive values for the west intersections and large negative values for the east intersections.
In Table 2 the ranges of g are proposed for different points of intersections of the disturbed region boundary according to four classes of the ground-based events. It is accepted here that g varies in the following ranges: from 80o to 65o in the first class, from 65o to 10o, in the second class, from 10o to -70o in the third class, and from -70o to -80o in the fourth class. Using Table 2 and the calculated g, we defined the class for each of the 18 events, and these results are in Table 1, column 10 (Class d).
In Figure 3a the main disturbed solar wind structures (the shock, stream body (ejects), and region with the reduced cosmic ray intensity, i.e., the Forbush-decrease (FD) region), are shown. The Forbush-decrease region is located asymmetrically relative to the disturbance region axis (dashed line) which is connected to the magnetic field line configuration in the solar wind stream with open magnetic lines at the east flank. It is in agreement with the known west-east asymmetry of Forbush-decrease amplitudes [Barnden, 1973; Belmalkhedkar et al., 1975; Krymsky and Transky, 1977].
The location of magnetic and plasma structures in the disturbed solar wind region also coincides with the results of Pudovkin et al.,  where it was shown that the geoefficiency of the stream body in producing geomagnetic storms depends on the magnetic field orientation within the compressed solar wind region. We consider this orientation to be quasi-perpendicular at the west flank and quasi-parallel at the east flank. It is also very important for the geoefficiency of the stream in cosmic rays.
According to Figure 3a the events of the second class (intense Forbush decreases and geomagnetic storms) occur when the Earth intersects the disturbed region near the central line. The first class of events (only cosmic ray decreases) occur at the west intersection of the disturbed region. The third class of events (only geomagnetic storms) occur at the east intersection. The extreme east and west intersections produce the fourth class of ground disturbances: there is an increase of the interplanetary magnetic field, and the dynamic pressure produces the increase of the geomagnetic field only. Results of the second method, with the use of the ground observation analysis, are listed in the last column of Table 1 (Class g).
Thus the definitions of ground manifestations of solar wind disturbances by the two method, using (1) the direct measurements on the spacecraft and (2) the "Forbush-storm classification" are in good agreement. In 10 out of 18 cases the classes of events coincide, and in 8 cases the next adjacent classes are observed. It could be caused by the rather arbitrary definition of g ranges for four classes of the events or by the definition of class signs by the data of objects located far from each other: in the interplanetary medium and on the Earth's surface. In Figure 3 the locations of Helios 1 and Helios 2 and the Earth for the two events of April 17-19, 1978 (1978, 106, case 7, Figure 3b) and 23-25 February 23-25 1980 (1980, 56, case 18, Figure 3c) are shown as an example. One can see that if the Earth and Helios are in the same sector (Figure 3c), then the class is determined more precisely than if they are in different sectors (Figure 3b).
Thus the analysis of flank intersections of solar wind disturbances according to the in situ multispacecraft data gives a rather good agreement with the sketch (Figure 3a) proposed by Shadrina et al.  Therefore the conclusion of Shadrina et al.  is confirmed that (1) the disturbed solar wind region has a limited transverse size and (2) the region is characterized by its nonsphericity; that is, its transverse size is considerably less than the longitudinal size. From our point of view the considerable time delay of the disturbance registration by separate spacecrafts depends on the boundary orientation for the flank intersections of the disturbed solar wind region.
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