The dependence of the main ionospheric trough shape on longitude, altitude, season, local time, and solar and magnetic activity
A. T. Karpachev
Institute of Terrestrial Magnetism, Ionosphere, and Radiowave Propagation, Russian Academy of Sciences, Troitsk, Moscow region, 142190 Russia
e-mail: karp@izmiran.ru
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5. DIURNAL VARIATIONS IN THE WINTER MIT SHAPE
  
   
Contradicting results have been also obtained concerning the local time of observation of the 
deepest trough. For example, the trough was deepest at a height of about 550 km near midnight 
according to Ariel 3 satellite data [Tulunay and Sayers, 1971] and at a height of 300 km in 
the evening in the Southern Hemisphere and in the morning in the Northern Hemisphere according 
to AE-C satellite data [Brinton et al., 1978]. However, Ahmed et al. [1979] noted in their 
review that the authors of the later paper compared different longitudes in different
hemispheres, which is an incorrect approach. Analyzing the chain of ground-based sounding 
stations along the Yakutsk meridian, Ben'kova and Zikrach [1983] obtained that MIT is widest 
and deepest in the evening and in the morning at low solar activity and either at midnight or 
near 0300 LT at low at high solar activity. However, analyzing the topside sounding data 
obtained onboard the Intercosmos-19 satellite (high solar activity) for Arkhangelsk longitudes, 
Ben'kova et al. [1993] showed that the trough has a steep equatorial wall in the evening 
sector and, therefore, is deeper and wider here than in other periods. Besprozvannaya [1973] 
drew exactly the same conclusion from ground-based data. According to data of ionospheric 
tomography [Kersley et al., 1997], the steepest wall is also observed at 1800 LT. Mutually 
contradicting conclusions were also made concerning the MIT width. For example, the trough 
proved to be narrowest in the morning according to ground-based data [Lockwood, 1980] and 
in the evening according to Ariel 3 data for heights of 480-600 km [Tulunay and Sayers, 1971]. 
Apparently, it seems impossible to combine these data into a unified consistent pattern. 
Therefore, we now pose a narrower problem: to reveal the variations in the MIT depth and 
width with local time, using Cosmos-900 data obtained for high solar activity, and to obtain a 
quantitative measure of these variations. 
  
   
Since the MIT shape strongly depends on magnetic activity, quiet conditions 
(1 <= Kp <= 3) were selected to study the MIT shape diurnal variations; i.e., very quiet 
and slightly disturbed conditions were not considered. Data on Ne obtained at a height of 
about 500 km in December 1978 - January 1979 were used in an analysis. To eliminate of 
strong variations with longitude, we considered data only for the narrow longitudinal sector 
(300-330
o) in the Northern Hemisphere. The Ne latitudinal 
profiles in the 1800-1900, 2300-0100, and 0500-0600 LT intervals were obtained by averaging 
several tens of satellite orbits. Results of averaging are shown in Fig. 5. In the evening 
the electron concentration drops steeply towards high latitudes, and the inflection point 
in the latitudinal profile of Ne is determined with some uncertainty. Therefore, in the 
evening the trough depth and width can be 3-4
o and about 
5
o, respectively. The MIT width 
is 3
o at the 2Nmin level. The MIT depth decreases to 
2 at midnight. The width at the 2Nmin level, which coincides in this case with the 
inflection point, increases up to ~5
o. In the morning 
the trough becomes much shallower (~1.5) and wider (~11
o). 
Thus, independently of the method of estimation, the trough is most developed in the night 
sector than in other hours and is slightly more pronounced at midnight than in the morning.
 
| Fig. 5.
 
 | Variations in the MIT shape with local time (LT) according to Cosmos-900 data 
for quiet winter conditions at high solar activity in the longitudinal sector 
300-330o in the Northern Hemisphere.
 
 | 
  
   
The electron concentration at a trough minimum varies slightly during the night, in the 
evening being even lower than at midnight. These characteristics fit well a stagnation 
theory. According to this theory, the trough is formed in the night sector as a result of 
the ionization decay in the stagnation region. Together with the rotating Earth, the 
trough moves to later local times and simultaneously shifts equatorward. In the course of 
time, the concentration decreases more intensely on the equatorial wall than on the polar 
one. In the absence of solar ionization, Ne is maintained by precipitation of particles, 
whose intensity decreases toward morning hours, on the polar wall and by the weak flux from 
the plasmasphere and the effect of the neutral wind on the equatorial wall. At a trough 
minimum the evening concentration is at a level typical of morning hours. The equatorward 
component of the meridional wind reaches its maximal amplitude near midnight; therefore, 
the electron concentration at a trough minimum slightly increases at that time. 
The concentration in the trough region, including its bottom, reaches minimal values in the 
morning.
6. DEPENDENCE OF THE MIT SHAPE ON MAGNETIC ACTIVITY
  
   
Immediately after the discovery of MIT, Sharp [1966] found out that it shifts equatorward and 
changes its shape with increasing magnetic activity. He assumed that the auroral ionization 
zone shifts equatorward during a storm and fills the trough, which becomes narrower. Such 
a viewpoint was also supported by Galperin et al. [1990]. However, we consider that this 
scheme is too simplified. For example, using data on the total electron content (TEC), Liszka 
[1967] observed MIT intensification with increasing magnetic activity and related it to the 
action of the electric field. Using ground-based sounding data, Besprozvannaya [1975] also observed deepening of the trough. During the disturbance the electron concentration increased at midlatitudes, whereas traces of the old trough were accompanied by the new trough at high latitudes. Tulunay and Sayers [1971] also observed trough deepening with increasing magnetic activity. Ben'kova et al. [1993] obtained again different results from different data. According to Intercosmos-19 data, MIT was much deeper during a disturbance than in the quiet period. According to data obtained at the Yakutsk chain of ground-based stations at high solar activity (1968-1969), the considerably increased polar wall of MIT moves towards the equatorial wall. As a result, a MIT minimum is actually filled up and MIT becomes shallower during a disturbance [Ben'kova and Zikrach, 1983]. In this case the electron concentration on the equatorial wall slightly increases in pre-midnight hours and decreases after midnight; however, this insignificantly changes the above conclusion. Recently, Shubin and Annakuliev [1997] obtained 
almost the same result based on data of ground-based sounding in the Northern Hemisphere. 
According to data of ESRO-4 [Kohnlein and Raitt, 1977], the trough was also filled up during 
a disturbance and became shallower. Thus, the pattern of MIT shape variations is again 
absolutely inconsistent. We will try to understand the causes of this inconsistency.
  
   
To analyze the trough shape variations with increasing magnetic activity, we used data of 
the Cosmos-900 satellite obtained at Kp ~ 5 during several storms in December 1978 - 
January 1979. Quiet periods with Kp ~ 2 between these storms were selected for comparison. 
All data are related to the near-midnight conditions at high solar activity 
(F
10.7 ~ 200). The narrow longitude sector 
(300-330
o) in the Northern Hemisphere was considered again. 
Figure 6 shows the averaged latitudinal variations in Ne (solid curves) for the conditions 
considered and the extreme cases of the narrowest and widest troughs (dashed curves) for 
Kp = 5. Under quiet conditions the trough width and depth are 3.5-5 and ~2.3, respectively, 
depending on the way of determination. If the Kp index increases from 2 to 5, the trough 
average width decreases to ~2.5-4
o and the depth increases 
to ~3. In contrast to the scheme suggested by Shubin and Annakuliev [1997], this narrowing is 
caused by deepening of a trough minimum. At that time the concentration at the MIT polar wall 
even decreased rather than increased. The width of the narrowest trough observed during the 
considered disturbances was only 2
o (at a level of 
2N
min). In this case the electron concentration at both MIT 
walls was considerably increased relative to the mean (quiet) level. This is apparently 
related to the development of the Ne positive disturbance. In any case, the most probable 
cause of the formation of a very deep trough during a relatively short period after the 
beginning of the disturbance is the effect of the increased electric field of magnetospheric 
convection. The lower dashed curve shows the case of the widest trough. In this case the 
plasma density was sharply reduced, especially at the polar wall. Apparently, this decrease 
was caused by the development of a deep negative disturbance of Ne. The trough width 
(~6-10
o) was considerably larger than in the quiet periods 
due to the development of a large peak of Te at the equatorial wall of MIT. It is widely known 
that Ne and Te variations anticorrelate in a first approximation.
 
| Fig. 6. | Variations in the MIT shape with increasing magnetic activity (from Kp = 2 to 5) 
according to Cosmos-900 data for winter nighttime conditions at high solar activity in 
the longitudinal sector 300-330o in the Northern Hemisphere. 
The extreme cases of the 
deepest and shallowest trough observed at Kp = 5 are shown by dashed curves.
 | 
  
   
Thus, if the Kp index increases from 2 to 5, the trough becomes on average wider and deeper 
because the plasma density at a trough minimum also decreases. This is evidently related to 
the effect of the disturbed electric field. However, if a Te peak develops at the equatorial 
wall bottom rather than at a MIT minimum, the trough can be wider than in quiet periods. 
Moreover, the MIT shape depends on how the positive and negative phases of a storm develop in 
time and space. Thus, changes in the trough shape with increasing magnetic activity depend on 
many factors, which can be superimposed on one another in a different order depending on how 
this particular disturbance develops. Therefore, the above-mentioned factors will lead to 
different results in each particular case. Thus, it is clear why different authors obtained
 different results. Consequently, the problem of trough shape variation with increasing 
magnetic activity cannot be solved by a simple averaging of different values of the Kp index, 
and the storm prehistory should be taken into account. 
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