| 
| 
 |  
| 
   N.V. Pushkov
 
 |  
|   
 
 
31/10/2025 19:01 MSK
 |  |  | 
The dependence of the main ionospheric trough shape on longitude, altitude, season, local time, and solar and magnetic activityA. T. Karpachev
Institute of Terrestrial Magnetism, Ionosphere, and Radiowave Propagation, Russian Academy of Sciences, Troitsk, Moscow region, 142190 Russia
e-mail: karp@izmiran.ru
Pages: 1  | 2  | 3  | 4  | 5 
  
   
Data for orbits 1 and 4 have been obtained for approximately identical conditions: 
longitudes of 36o  and 25o , 
Kp ~ 1, and t ~ t* ~ 0.8. However, the character of electron 
concentration variations at a height of 1000 km differs dramatically for these two cases.
Discussing this feature, we note that the lower working frequency of an ionosonde is 0.3 MHz. 
Therefore, the Ne(1000) values below a threshold level of about 103 
cm-3  formally correspond to zero value in Fig. 9. Figure 9 
shows that for the orbits in question Ne(1000) < 103 
cm-3  at high latitudes and, therefore, a pronounced 
MIT polar wall is almost not distinguished here. Consequently, at any concentration at a 
trough minimum, its ratio to the concentration at the polar wall would be much less than 
to the concentration at the equatorial wall. This statement contradicts the conclusions 
drawn by Ben'kova et al. [1993] but agrees with the commonly accepted conclusion that the
polar wall becomes less pronounced with increasing altitude. On the contrary, a knee in 
the latitudinal behavior of the electron concentration, which is the ionospheric projection of 
the old plasmapause, is clearly detected at lower latitudes (about 
55o  ). The new position of the plasmapause is apparently 
located at    = 65o . This corresponds to the plasmapause 
position after a long undisturbed period. Data of orbits 1, 2, and 3 demonstrate the effect 
of gradual filling of the    shells between the new and old 
plasmapauses. According to the theory (see, e.g., Krinberg and Tashchilin [1984]) mainly 
relatively low L shells are filled up. The knee in Ne(1000) is located at 
   = 54o , 57o , and 
62o  for orbits 1, 2, and 3, corresponding 
to t ~ 0.7, 1.8, and 2.9 days after the magnetic disturbance, 
respectively. However, such a shift apparently mismatches the plasmapause shift somewhat 
in the equatorial plane. The process of filling proceeds in such a way that the plasmapause 
acquires a two-step structure in the course of t 0.7 days and only 
the polar step approximately corresponds to the knee in Ne(1000), since the time of 
complete filling of the plasmasphere is substantially longer than 3 days. All parameters of 
orbit 4 formally coincide with those of orbit 1; however, the knee in Ne(1000) is located at 
   = 65o  rather than 
55o . This can apparently be explained by the fact that 
the disturbance of June 7-8 was relatively short and the L shells were depleted not so 
intensely as in the previous series of storms between the new and old plasmapauses. Mainly 
hydrogen ions maintain the process of filling of the geomagnetic field tubes with plasma. 
This process is substantially more durable than the NmF2 relaxation to the undisturbed 
state [Krinberg and Tashchilin, 1984]. Nevertheless, the old plasmapause, which actually 
existed in all cases, affected the position of the base of the MIT equatorial wall, which 
always remained near    = 55o . The relation between the 
position of the old plasmapause and the base of the MIT equatorial wall is evidently 
provided by the residual ring current, which exists near the old plasmapause for a long 
time after the magnetic storm (see, e.g., Burke et al. [1979]). The processes proceeding at 
latitudes of the ring current lead to heating of the ionospheric plasma [Cornwall and 
Coroniti, 1971], enhancement of O+ recombination near the F2 layer maximum, and, consequently, 
depletion of NmF2.
 
  
   
Thus, at low solar activity, the dynamics of the equatorial wall at high altitudes sharply 
differs from its dynamics at altitudes of the F2 layer. Consequently, the MIT characteristics 
(depth and width) will be also considerably different. For example, the trough depth counted 
relative to the equatorial wall varies at heights of the F2 layer from 2 to 5 for different 
cases. The plasma concentration at a trough minimum at a height of 1000 km is not determined; 
however, the trough depth for orbits 1 and 4 exceeds 6, which is certainly higher than at 
altitudes of the F2 layer. This fact agrees with the conclusions drawn by Ben'kova et al. 
[1993]. Such trough behavior at low solar activity is adequately explained in terms of
depletion of the subauroral geomagnetic tubes [Krinberg and Tashchilin, 1984]. At high solar 
activity, the background concentration is much higher, geomagnetic tubes are filled up much 
more rapidly, and so the trough shape remains almost unchanged with height.
 
  
   
Remind that the above conclusions have been drawn on the whole for an increased level of 
geomagnetic activity. However, during the observations the Kp index varied from 0+ to 2-. 
Thus, the trough shape largely depends on the prehistory of geomagnetic activity. Sivtseva 
and Ershova [1989] have drawn similar conclusions. They have shown that the MIT polar and 
equatorial walls at heights of the topside ionosphere are more closely related to the 
dynamics of O+ and H+ ions, respectively. The total concentration of ions in the MIT 
region depends on the ratio of concentrations of these two ions, which can be widely variable 
at different latitudes in the process of disturbance development.
9. CONCLUSIONS 
  
   
The large data set of Intercosmos-19, Cosmos-900, and Cosmos-1809 satellite data makes it 
possible to analyze the variations in the MIT shape based on a unified point of view. It is 
also of importance to accurately take into account considerable longitudinal variations in 
the position and shape of the trough. The revealed dependences of the MIT shape on longitude 
and hemisphere make it also possible to eliminate some contradictions between different studies 
based on different data sets. This allows us to come very close to constructing a MIT shape 
model. It is crucial to solve this problem for the subauroral ionosphere. The following 
particular results have been obtained:
 
  
   
(1) We have demonstrated that the longitudinal variations in the MIT shape are determined by 
the changes in the form, amplitude, and phase of the NmF2 longitudinal variations at different 
latitudes in the trough region. The deepest trough is observed at longitudes of 
300-330o  (1.7) and 30-60o  (3.0) 
in the Northern and Southern hemispheres, respectively. In the Southern Hemisphere the trough 
is least pronounced at longitudes of about 330o . The trough 
is completely exhausted in the vicinity of 240o  longitudes in 
the Northern Hemisphere. The trough width in both hemispheres varies with longitude within 
7-17o .
 
  
   
(2) We have demonstrated that an analysis of the seasonal variations in the MIT shape without 
taking into account longitude and hemisphere results in contradictions. Under summer 
conditions (at altitudes of 350-550 km) insignificant MIT (with a depth of <1.4) exists only 
at a minimum of the background concentration, i.e., at longitudes of 
200-240o  and 30-90o  in the 
Northern and Southern Hemispheres, respectively. Under the midnight equinoctial conditions, 
a pronounced trough is formed at all longitudes of both hemispheres. It has a width of 
8-11o  and a depth of 1.4-2.5. In winter the MIT depth 
increases up to 2-5o  everywhere except the longitudinal 
sector 210-240o  in the Northern Hemisphere, where the trough 
is absent.
 
  
   
(3) The diurnal variations in the MIT shape at a height of about 500 km have been distinctly 
detected from Cosmos-900 data. MIT is most developed in the dusk sector. Its depth and width 
at longitudes of 300-330o  in the Northern Hemisphere are 
3-4 and about 3o , respectively. Closer to midnight the MIT 
depth decreases to 2 and the width increases to 5o . MIT becomes 
shallow (1.5) and wide (~11o ) by the morning. The electron 
concentration at a trough minimum varies weakly during the night, in the evening the 
concentration being even slightly lower than at midnight.
 
  
   
(4) If the Kp index increases from 2 to 5, the trough width at longitudes of 
300-330o  in the Northern Hemisphere, on the average, decreases 
from 3.5-5o  to 2.5-4o  and the 
trough depth increases from 2.3 to 3. However, if a Te peak is developed at the bottom of 
the MIT equatorial wall, the trough width may increase up to 6-10o . Moreover, the situation 
depends on how the positive and negative phases of a storm develop at the walls and at a 
minimum of MIT. This is the cause of principal discrepancies arising in an analysis of the 
MIT shape variations during a storm. Thus, the problem of MIT shape variations with magnetic 
activity cannot be solved merely by averaging data.
 
  
   
(5) At very high solar activity, MIT is determined mainly by the presence of the highly 
developed polar wall at heights of the F2 layer. If solar activity decreases from 
F10.7  ~ 180 to ~ 90, the MIT depth at isolated latitudes 
may increase from 1.5 to 5 and the width may increase slightly. As a result, at low solar
activity both MIT walls become almost equally steep. This is a rather seldom example, when 
the conclusions of different studies agree with one another.
 
  
   
(6) An analysis of Cosmos-1809 data for winter conditions at low solar activity shows that 
the MIT shape depends on the ionospheric dynamics (related to disturbances) much stronger 
than at high activity:
 
   - 
The MIT polar wall is more pronounced than the equatorial wall at heights of the F2 layer. 
The position of the polar wall and the concentration within the trough depend mainly on the 
DPB variations during a storm. The position of the bottom of the equatorial wall of the 
trough in NmF2 is determined by the residual ring current and old plasmapause, whose positions 
remain almost unchanged in the course of about 3 days after a storm.
 
   -
At altitude of 1000 km, the polar wall is insignificant and, vice versa, the equatorial knee 
in the Ne latitudinal distribution is clearly defined. The position of the base of this knee 
is determined by the degree of depletion (depending on the time lapsed after a disturbance) 
of the geomagnetic tubes between the old and new plasmapauses after a series of magnetic 
storms. As a result, the MIT shape at low solar activity varies strongly with height.
 
  
   
ACKNOWLEDGMENTS. This work was supported by the Russian Foundation for Basic Research, project 
no. 01-05-64155. I thanks V.V. Afonin for Cosmos-900 satellite data.
REFERENCES 
Ahmed, M., Sagalyn, R.C., Wildman, P.J.L., and Burke, W.J., Topside Ionospheric Trough 
Morphology: Occurrence Frequency and Diurnal, Seasonal and Altitude Variations, J. Geophys.
 Res., 1979, vol. 84, no. 2, p. 489.
Ben'kova, N.P. and Zirkach, E.K., Main Ionospheric Trough as Inferred from Ground-Based 
Measurements in the Yakutsk Region, Physical Processes in the Main Ionospheric Trough Region, 
Prague: Geofyz. Ustav CSAV, 1983, p. 7.
Ben'kova, N.P., Kozlov, E.F., Kochenova, N.A., et al., Structure and Dynamics of the Main 
Ionospheric Trough as Inferred from Intercosmos-19 and Ground-Based Data, Geomagn. Aeron., 
1988, vol. 28, no. 4, p. 606.
Ben'kova, N.P., Kozlov, E.F., Kochenova, N.A., et al., Struktura subavroral'noi ionosfery 
(Structure of the Subauroral Ionosphere), Moscow: Nauka, 1993.
Besprozvannaya, A.S., Features of the Ionospheric Trough in the Afternoon as Inferred from 
Data of Ground-Based Vertical Sounding, Geomagn. Aeron., 1973, vol. 13, no. 5, p. 935.
Besprozvannaya, A.S., Planetary Distribution of Nighttime Ionization at the F2 Layer Maximum 
as Inferred from Data of Ground-Based Ionospheric Sounding, Tr. Arkt. Antarkt. Nauchno-Issled. 
Inst., 1975, vol. 322, p. 185.
Besprozvannaya, A.S. and Makarova, L.N., UT-Control of Configuration of the Main Ionospheric 
Trough, Geomagn. Aeron., 1984, vol. 24, no. 1, p. 145.
Blagoveshchensky, D.V. and Borisova, T.D., Main Ionospheric Trough Parameters for 
Ionosphere Modelling by HF Radio Network Observations, Adv. Space Res., 1995, vol. 
16, no. 1, p. 65.
 
Blagoveshchensky, D.V. and Zherebtsov, G.A., Vysokoshirotnye geofizicheskie yavleniya i 
prognozirovanie VCh-radio kanalov (High-Latitude Geophysical Phenomena and Prediction of 
HF Radio Channels) Moscow: Nauka, 1987.
Blagoveshchensky, D.V., Dobroselsky, K.A., and Maltseva, O.A., Main Ionospheric Trough as a Channel for MF Propagation in the Magnetosphere, Radio Sci., 1997, vol. 32, no. 4, p. 1477.
 
Brinton, H.C., Grebowsky, J.M., and Brace, L.H., The High-Latitude Winter F Region at 300 km: Thermal Plasma Observations from AE-C, J. Geophys. Res., 1978, vol. 83, p. 4776.
Burke, W.J., Braun, H.J., Munch, J.W., and Sagalyn, R.C., Observations Concerning the Relationship between the Quiet-Time Ring Current and Electron Temperatures at Trough Latitudes, Planet. Space Sci., 1979, vol. 27, p. 1175.
Clilverd, M.A., Thomson, N.R., and Smith, A.J., The Effect of the Mid-Latitude Ionospheric Trough on Whistler Mode Ducting during Magnetic Storm, J. Atmos. Terr. Phys., 1995, vol. 57, no. 8, p. 945.
Cornwall, J.M., Coroniti, F.V., and Thorne, R.M., Unified Theory of SAR Arc Formation at the Plasmapause, J. Geophys. Res., 1971, vol. 76, p. 4428.
Deminov, M.G. and Karpachev, A.T., Longitudinal Effect in the Configuration of the Main Ionospheric Trough. 1. Trough Position, Geomagn. Aeron., 1986a, vol. 26, no. 1, p. 63.
Deminov, M.G. and Karpachev, A.T., Longitudinal Effect in the Configuration of the Main Ionospheric Trough. 2. Trough Shape, Geomagn. Aeron., 1986b, vol. 26, no. 4, p. 682.
Deminov, M.G. and Karpachev, A.T., Longitudinal Effect in the Nighttime Midlatitude Ionosphere as Inferred from Intercosmos-19 Data, Geomagn. Aeron., 1988, vol. 28, no. 1, p. 76.
Deminov, M.G., Karpachev, A.T., and Morozova, L.P., Subauroral Ionosphere in the Period of SUNDIAL in June 1987 as Inferred from Cosmos-1809 Data, Geomagn. Aeron., 1992, vol. 32, no. 1, p. 54.
Galperin, Yu.I., Sivtseva, L.D., Filippov, V.M., and Khalipov, V.L, Subavroral'naya verkhnyaya ionosfera (Subauroral Topside Ionosphere), Novosibirsk: Nauka, 1990.
Halcrow, B.W. and Nisbet, J.S., A Model of F2 Peak Electron Densities in the Main Trough of the Ionosphere, Radio Sci., 1977, vol. 12, no. 5, p. 815.
Karpachev, A.T., Electron Density Distribution in the High-Latitude Topside Ionosphere of the Southern Hemisphere for the Nighttime Summer Conditions, Geomagn. Aeron., 1995, vol. 35, no. 6, p. 82.
Karpachev, A.T., Electron Density Distribution near the F2 Layer Maximum in the Northern Hemisphere for the Nighttime Summer Conditions, Geomagn. Aeron., 1996, vol. 36, no. 3, p. 86.
Kersley, L., Pryse, S.E., Walker, I.K., et al., Imaging of Electron Density Troughs by Tomographic Techniques, Radio Sci., 1997, vol. 32, no. 4, p. 1607.
Kleimenova, N.G., Kangas, J., Pikkarainen, T., and Ranta, H., IPDP Geomagnetic Pulsations and the Main Ionospheric Trough, for the Nighttime Summer Conditions, Geomagn. Aeron., 1995, vol. 35, no. 6, p. 60.
Kohnlein, W. and Raitt, W.J., Position of the Mid-Latitude Trough in the Topside Ionosphere as Deduced from ESRO-4 Observations, Planet. Space Sci., 1977, vol. 25, no. 5/6. p. 600.
Krinberg, I.A. and Tashchilin, A.V., Ionosfera i plazmosfera (Ionosphere and Plasmasphere), Moscow: Nauka, 1984.
Legen'ka, A.D., Mean Models of Electron Density Distribution in the Topside Ionosphere under Quiet and Disturbed Conditions in near-Midnight Hours of the Equinoctial Period, Issledovaniya oblasti F i vneshnei ionosfery (Studies of the F Region and the Topside Ionosphere), Fatkullin, M.N. and Yudovich, L.A., Eds., Moscow: Inst. Zemn. Magn. Ionos. Rasprostr. Radiovoln Akad. Nauk SSSR, 1974, p. 252.
Liszka, L., The High Latitude Trough in Ionospheric Electron Content, J. Atmos. Terr. Phys., 1967, vol. 29, no. 10, p. 1242.
Lockwood, M., The Bottomside Mid-Latitude Ionospheric Trough, J. Atmos. Terr. Phys., 1980, vol. 42, no. 7, p. 605.
Mendillo, M. and Chacko, C.C., The Baselevel Ionospheric Trough, J. Geophys. Res., 1977, vol. 82, no. 32, p. 5129.
Sharp, G.W., Midlatitide Trough in the Night Ionosphere, J. Geophys. Res., 1966, vol. 71, no. 5, p. 1345.
Shubin, V.N. and Annakuliev, S.K., Semiempirical Model of foF2 in the Nighttime Subauroral Ionosphere during the Negative Phase of Intense Ionospheric Storms, Geomagn. Aeron., 1997, vol. 37, no. 4, p. 26.
Sivtseva, L.D. and Ershova, V.A., Structure of the Midlatitude Trough in the Nighttime Topside Ionosphere, Kosm. Issled., 1989, vol. 27, no. 1, p. 89.
Smilauer, Y. and Afonin, V.V., Electron Temperature Behavior in the Subauroral Region as Inferred from Intercosmos-19 Data, Physical Processes in the Region of the Main Ionospheric Trough, Prague: Geofyz. Ustav CSAV, 1983, p. 189.
Szuszczewicz, E.P., Wilkinson, P., Swider, W., et al., Measurements and Empirical Model Comparisons of F-Region Characteristics and Auroral Oval Boundaries during the Solstitial SUNDIAL Campaign of 1987, Ann. Geophys., 1993, vol. 11, p. 601.
Tulunay, Y., Global Electron Density Distributions from the Ariel 3 Satellite at Mid-Latitudes during Quiet Magnetic Periods, J. Atmos. Terr. Phys., 1973, vol. 35, no. 2, p. 233.
Tulunay, Y. and Sayers, J., Characteristics of the Mid-Latitude Trough as Determined by the Electron Density Experiment on Ariel 3, J. Atmos. Terr. Phys., 1971, vol. 33, no. 11, p. 1737.
 |  |