Articles | Volume 36, issue 6
https://doi.org/10.5194/angeo-36-1545-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/angeo-36-1545-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
On the variability of the semidiurnal solar and lunar tides of the equatorial electrojet during sudden stratospheric warmings
High Altitude Observatory, National Center for Atmospheric
Research, Boulder, CO, USA
Astrid Maute
High Altitude Observatory, National Center for Atmospheric
Research, Boulder, CO, USA
Nick Pedatella
High Altitude Observatory, National Center for Atmospheric
Research, Boulder, CO, USA
Yosuke Yamazaki
GFZ German Research Centre for
Geosciences, Potsdam, Germany
Hermann Lühr
GFZ German Research Centre for
Geosciences, Potsdam, Germany
Claudia Stolle
GFZ German Research Centre for
Geosciences, Potsdam, Germany
Faculty of Science, University of
Potsdam, Potsdam, Germany
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Markus Kunze, Christoph Zülicke, Tarique Adnan Siddiqui, Claudia Christine Stephan, Yosuke Yamazaki, Claudia Stolle, Sebastian Borchert, and Hauke Schmidt
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2024-191, https://doi.org/10.5194/gmd-2024-191, 2024
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We present the Icosahedral Nonhydrostatic (ICON) general circulation model with upper atmosphere extension with the physics package for numerical weather prediction (UA-ICON(NWP)). The parameters for the gravity wave parameterizations were optimized, and realistic modelling of the thermal and dynamic state of the mesopause regions was achieved. UA-ICON(NWP) now shows a realistic frequency of major sudden stratospheric warmings and well-represented solar tides in temperature.
T. A. Siddiqui, H. Lühr, C. Stolle, and J. Park
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This paper presents the long-term observations of lunar tidal signatures in the equatorial electrojet (EEJ) and their relation to stratospheric sudden warming (SSW) events. We propose an approach to estimate the occurrence of SSW events before their direct observations (before 1952) from the magnetic field observations at Huancayo.
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The study makes use of magnetic field data from the closely spaced Swarm A and C spacecraft during the counter rotating orbit phase. It allows to investigate the spatial and temporal correlation lengths of small- and meso-scale FAC structures at auroral latitudes. Stability features of small-scale FACs (10–70 km wavelength) are: temporal <18 s, correlation length <12 km. For meso-scale FACs (100–300 km wavelength) we obtain a stationarity of >40 s and correlation length >42 km.
Markus Kunze, Christoph Zülicke, Tarique Adnan Siddiqui, Claudia Christine Stephan, Yosuke Yamazaki, Claudia Stolle, Sebastian Borchert, and Hauke Schmidt
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We present the Icosahedral Nonhydrostatic (ICON) general circulation model with upper atmosphere extension with the physics package for numerical weather prediction (UA-ICON(NWP)). The parameters for the gravity wave parameterizations were optimized, and realistic modelling of the thermal and dynamic state of the mesopause regions was achieved. UA-ICON(NWP) now shows a realistic frequency of major sudden stratospheric warmings and well-represented solar tides in temperature.
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Geosci. Model Dev., 16, 4749–4766, https://doi.org/10.5194/gmd-16-4749-2023, https://doi.org/10.5194/gmd-16-4749-2023, 2023
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Phoebe Noble, Neil Hindley, Corwin Wright, Chihoko Cullens, Scott England, Nicholas Pedatella, Nicholas Mitchell, and Tracy Moffat-Griffin
Atmos. Chem. Phys. Discuss., https://doi.org/10.5194/acp-2022-150, https://doi.org/10.5194/acp-2022-150, 2022
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We use long term radar data and the WACCM-X model to study the impact of dynamical phenomena, including the 11-year solar cycle, ENSO, QBO and SAM, on Antarctic mesospheric winds. We find that in summer, the zonal wind (both observationally and in the model) is strongly correlated with the solar cycle. We also see important differences in the results from the other processes. In addition we find important and large biases in the winter model zonal winds relative to the observations.
Juliana Jaen, Toralf Renkwitz, Jorge L. Chau, Maosheng He, Peter Hoffmann, Yosuke Yamazaki, Christoph Jacobi, Masaki Tsutsumi, Vivien Matthias, and Chris Hall
Ann. Geophys., 40, 23–35, https://doi.org/10.5194/angeo-40-23-2022, https://doi.org/10.5194/angeo-40-23-2022, 2022
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To study long-term trends in the mesosphere and lower thermosphere (70–100 km), we established two summer length definitions and analyzed the variability over the years (2004–2020). After the analysis, we found significant trends in the summer beginning of one definition. Furthermore, we were able to extend one of the time series up to 31 years and obtained evidence of non-uniform trends and periodicities similar to those known for the quasi-biennial oscillation and El Niño–Southern Oscillation.
John P. McCormack, V. Lynn Harvey, Cora E. Randall, Nicholas Pedatella, Dai Koshin, Kaoru Sato, Lawrence Coy, Shingo Watanabe, Fabrizio Sassi, and Laura A. Holt
Atmos. Chem. Phys., 21, 17577–17605, https://doi.org/10.5194/acp-21-17577-2021, https://doi.org/10.5194/acp-21-17577-2021, 2021
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In order to have confidence in atmospheric predictions, it is important to know how well different numerical model simulations of the Earth’s atmosphere agree with one another. This work compares four different data assimilation models that extend to or beyond the mesosphere. Results shown here demonstrate that while the models are in close agreement below ~50 km, large differences arise at higher altitudes in the mesosphere and lower thermosphere that will need to be reconciled in the future.
Minna Palmroth, Maxime Grandin, Theodoros Sarris, Eelco Doornbos, Stelios Tourgaidis, Anita Aikio, Stephan Buchert, Mark A. Clilverd, Iannis Dandouras, Roderick Heelis, Alex Hoffmann, Nickolay Ivchenko, Guram Kervalishvili, David J. Knudsen, Anna Kotova, Han-Li Liu, David M. Malaspina, Günther March, Aurélie Marchaudon, Octav Marghitu, Tomoko Matsuo, Wojciech J. Miloch, Therese Moretto-Jørgensen, Dimitris Mpaloukidis, Nils Olsen, Konstantinos Papadakis, Robert Pfaff, Panagiotis Pirnaris, Christian Siemes, Claudia Stolle, Jonas Suni, Jose van den IJssel, Pekka T. Verronen, Pieter Visser, and Masatoshi Yamauchi
Ann. Geophys., 39, 189–237, https://doi.org/10.5194/angeo-39-189-2021, https://doi.org/10.5194/angeo-39-189-2021, 2021
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This is a review paper that summarises the current understanding of the lower thermosphere–ionosphere (LTI) in terms of measurements and modelling. The LTI is the transition region between space and the atmosphere and as such of tremendous importance to both the domains of space and atmosphere. The paper also serves as the background for European Space Agency Earth Explorer 10 candidate mission Daedalus.
Patrick Mungufeni, Sripathi Samireddipalle, Yenca Migoya-Orué, and Yong Ha Kim
Ann. Geophys., 38, 1203–1215, https://doi.org/10.5194/angeo-38-1203-2020, https://doi.org/10.5194/angeo-38-1203-2020, 2020
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This study developed a model of total electron content (TEC) over the African region. The TEC data were derived from radio occultation measurements done by the Constellation Observing System for Meteorology, Ionosphere, and Climate (COSMIC) satellites. Data during geomagnetically quiet time for the years 2008–2011 and 2013–2017 were binned according to local time, seasons, solar flux level, geographic longitude, and dip latitude. Cubic B splines were used to fit the data for the model.
Hermann Lühr and Yun-Liang Zhou
Ann. Geophys., 38, 749–764, https://doi.org/10.5194/angeo-38-749-2020, https://doi.org/10.5194/angeo-38-749-2020, 2020
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During magnetic storms the magnetic disturbance at low latitudes becomes asymmetric, enhanced in the evening sector and reduced around morning. This has been attributed to the asymmetric ring current. Here a new 3D current system is proposed for explaining the asymmetric signal. Anti-sunward net currents at high latitude are connected at their noon and night ends to field-aligned currents that lead the currents to the magnetopause on the dawn and dusk flanks where the current closure occurs.
Theodoros E. Sarris, Elsayed R. Talaat, Minna Palmroth, Iannis Dandouras, Errico Armandillo, Guram Kervalishvili, Stephan Buchert, Stylianos Tourgaidis, David M. Malaspina, Allison N. Jaynes, Nikolaos Paschalidis, John Sample, Jasper Halekas, Eelco Doornbos, Vaios Lappas, Therese Moretto Jørgensen, Claudia Stolle, Mark Clilverd, Qian Wu, Ingmar Sandberg, Panagiotis Pirnaris, and Anita Aikio
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Daedalus aims to measure the largely unexplored area between Eart's atmosphere and space, the Earth's
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Fazlul I. Laskar, Gunter Stober, Jens Fiedler, Meers M. Oppenheim, Jorge L. Chau, Duggirala Pallamraju, Nicholas M. Pedatella, Masaki Tsutsumi, and Toralf Renkwitz
Atmos. Chem. Phys., 19, 5259–5267, https://doi.org/10.5194/acp-19-5259-2019, https://doi.org/10.5194/acp-19-5259-2019, 2019
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Meteor radars are used to track and estimate the fading time of meteor trails. In this investigation, it is observed that the diffusion time estimated from such trail fading time is anomalously higher during noctilucent clouds (NLC) than that in its absence. We propose that NLC particles absorb background electrons and thus modify the background electrodynamics, leading to such an anomaly.
Klemens Hocke, Huixin Liu, Nicholas Pedatella, and Guanyi Ma
Ann. Geophys., 37, 235–242, https://doi.org/10.5194/angeo-37-235-2019, https://doi.org/10.5194/angeo-37-235-2019, 2019
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The GPS radio occultation data of the COSMIC-FORMOSAT-3 mission are used to visualize the global distribution of ionospheric irregularities in the F2 region during a geomagnetic storm, at solar minimum, and at solar maximum.
David E. Siskind, McArthur Jones Jr., Douglas P. Drob, John P. McCormack, Mark E. Hervig, Daniel R. Marsh, Martin G. Mlynczak, Scott M. Bailey, Astrid Maute, and Nicholas J. Mitchell
Ann. Geophys., 37, 37–48, https://doi.org/10.5194/angeo-37-37-2019, https://doi.org/10.5194/angeo-37-37-2019, 2019
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We use data from two NASA satellites and a general circulation model of the upper atmosphere to elucidate the key factors governing the abundance and diurnal variation of nitric oxide (NO) at near-solar minimum conditions and low latitudes. This has been difficult to do previously, because NO data are typically taken from satellites in sun-synchronous orbits, meaning that they only acquire data in fixed local times. We overcome this limitation through model simulations of the NO diurnal cycle.
Chao Xiong, Hermann Lühr, Michael Schmidt, Mathis Bloßfeld, and Sergei Rudenko
Ann. Geophys., 36, 1141–1152, https://doi.org/10.5194/angeo-36-1141-2018, https://doi.org/10.5194/angeo-36-1141-2018, 2018
Chao Xiong, Claudia Stolle, and Jaeheung Park
Ann. Geophys., 36, 679–693, https://doi.org/10.5194/angeo-36-679-2018, https://doi.org/10.5194/angeo-36-679-2018, 2018
Balázs Heilig and Hermann Lühr
Ann. Geophys., 36, 595–607, https://doi.org/10.5194/angeo-36-595-2018, https://doi.org/10.5194/angeo-36-595-2018, 2018
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This paper presents a statistical study of the equatorward boundary of small-scale field-aligned currents (SSFACs) as observed by ESA's Swarm satellites and investigates the relation between this boundary and NASA’s Van Allen probe observed plasmapause (PP). It is found that the two boundaries are closely coincident in the midnight LT sector, where the new PP is formed. Our results point to the role of SSFACs in the creation of the PP and offer a unique tool to monitor PP dynamics.
Tao Huang, Hermann Lühr, and Hui Wang
Ann. Geophys., 35, 1249–1268, https://doi.org/10.5194/angeo-35-1249-2017, https://doi.org/10.5194/angeo-35-1249-2017, 2017
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This is the first study considering ionospheric currents (both field-aligned current and Hall current) derived from high-resolution magnetic field data of the Swarm constellation in both hemispheres. The prominent auroral electrojets are found to be closely controlled by the solar wind input, but we find no dependence of their intensity on the IMF By orientation. An important finding is that all the IMF By dependences of FACs and Hall currents practically disappear in the dark winter hemisphere.
Olawale Bolaji, Oluwafisayo Owolabi, Elijah Falayi, Emmanuel Jimoh, Afolabi Kotoye, Olumide Odeyemi, Babatunde Rabiu, Patricia Doherty, Endawoke Yizengaw, Yosuke Yamazaki, Jacob Adeniyi, Rafiat Kaka, and Kehinde Onanuga
Ann. Geophys., 35, 123–132, https://doi.org/10.5194/angeo-35-123-2017, https://doi.org/10.5194/angeo-35-123-2017, 2017
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Movement of plasma to higher latitudes by EIA is known to relate to eastward electric field/EEJ and thermospheric meridional neutral wind. Experiments from GPS measurements that unveil thermospheric meridional neutral wind effect on plasma transportation in the F region are very few compared with electric field/EEJ. This work includes examples of thermospheric meridional neutral wind effects on GPS TEC measurements and their roles in transportation of plasma compared to electric field/EEJ.
Hermann Lühr, Tao Huang, Simon Wing, Guram Kervalishvili, Jan Rauberg, and Haje Korth
Ann. Geophys., 34, 901–915, https://doi.org/10.5194/angeo-34-901-2016, https://doi.org/10.5194/angeo-34-901-2016, 2016
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ESA's constellation mission Swarm makes it possible for the first time to determine field-aligned currents (FACs) reliably in the ionosphere. FACs are able to transport energy from the solar wind to the Earth and heat the upper atmosphere. Here we investigate FAC structures that have been missed by previous satellite missions. Most of them are found poleward of the northern light zone. The energy sources seem to be located on the nightside of Earth about 100 000 km away.
Yun-Liang Zhou, Li Wang, Chao Xiong, Hermann Lühr, and Shu-Ying Ma
Ann. Geophys., 34, 463–472, https://doi.org/10.5194/angeo-34-463-2016, https://doi.org/10.5194/angeo-34-463-2016, 2016
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The solar activity dependence of nonmigrating tides in electron density at low and middle latitudes observed by CHAMP and GRACE are investigated. The absolute amplitudes of DE3 at low latitudes as well as DE1, D0 and DW2 at middle latitudes are highly related to the solar activity, while their relative amplitudes show little dependence on the solar activity. A clear modulation by the QBO is found in the relative amplitudes of DE3 at low latitudes.
J. Park, H. Lühr, C. Stolle, G. Malhotra, J. B. H. Baker, S. Buchert, and R. Gill
Ann. Geophys., 33, 829–835, https://doi.org/10.5194/angeo-33-829-2015, https://doi.org/10.5194/angeo-33-829-2015, 2015
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Though high-latitude plasma convection has been monitored with a number of methods, more independent measurements are still warranted. In this study we introduce an automatic method to estimate along-track plasma drift velocity in the high-latitude ionosphere using the Swarm constellation. The obtained velocity is in qualitative agreement with Super Dual Auroral Radar Network (SuperDARN) data. The method can be generalized to any satellite constellations in pearls-on-a-string configurations.
T. A. Siddiqui, H. Lühr, C. Stolle, and J. Park
Ann. Geophys., 33, 235–243, https://doi.org/10.5194/angeo-33-235-2015, https://doi.org/10.5194/angeo-33-235-2015, 2015
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This paper presents the long-term observations of lunar tidal signatures in the equatorial electrojet (EEJ) and their relation to stratospheric sudden warming (SSW) events. We propose an approach to estimate the occurrence of SSW events before their direct observations (before 1952) from the magnetic field observations at Huancayo.
C. Xiong, Y.-L. Zhou, H. Lühr, and S.-Y. Ma
Ann. Geophys., 33, 185–196, https://doi.org/10.5194/angeo-33-185-2015, https://doi.org/10.5194/angeo-33-185-2015, 2015
J. Park, H. Lühr, and M. Noja
Ann. Geophys., 33, 129–135, https://doi.org/10.5194/angeo-33-129-2015, https://doi.org/10.5194/angeo-33-129-2015, 2015
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Total electron content (TEC) between low-Earth-orbit (LEO) satellites and the Global Navigation Satellite System (GNSS) satellites can be used to constrain three-dimensional morphology of equatorial plasma bubbles (EPBs). TEC gradient observed along the LEO track is strongest when the corresponding GNSS satellite is located equatorward and westward of the LEO satellite. This anisotropy supports the idea that EPBs have three-dimensional shell structures.
K. Schlegel and H. Lühr
Hist. Geo Space. Sci., 5, 149–154, https://doi.org/10.5194/hgss-5-149-2014, https://doi.org/10.5194/hgss-5-149-2014, 2014
C. Xiong, H. Lühr, H. Wang, and M. G. Johnsen
Ann. Geophys., 32, 609–622, https://doi.org/10.5194/angeo-32-609-2014, https://doi.org/10.5194/angeo-32-609-2014, 2014
C. Xiong and H. Lühr
Ann. Geophys., 32, 623–631, https://doi.org/10.5194/angeo-32-623-2014, https://doi.org/10.5194/angeo-32-623-2014, 2014
H. Wang, H. Lühr, A. Ridley, and T. Huang
Ann. Geophys., 32, 533–542, https://doi.org/10.5194/angeo-32-533-2014, https://doi.org/10.5194/angeo-32-533-2014, 2014
G. N. Kervalishvili and H. Lühr
Ann. Geophys., 32, 249–261, https://doi.org/10.5194/angeo-32-249-2014, https://doi.org/10.5194/angeo-32-249-2014, 2014
H. Wang and H. Lühr
Ann. Geophys., 31, 1521–1534, https://doi.org/10.5194/angeo-31-1521-2013, https://doi.org/10.5194/angeo-31-1521-2013, 2013
J. Park, H. Lühr, and J. Rauberg
Ann. Geophys., 31, 1507–1520, https://doi.org/10.5194/angeo-31-1507-2013, https://doi.org/10.5194/angeo-31-1507-2013, 2013
H. Lühr and C. Manoj
Ann. Geophys., 31, 1315–1331, https://doi.org/10.5194/angeo-31-1315-2013, https://doi.org/10.5194/angeo-31-1315-2013, 2013
C. Xiong and H. Lühr
Ann. Geophys., 31, 1115–1130, https://doi.org/10.5194/angeo-31-1115-2013, https://doi.org/10.5194/angeo-31-1115-2013, 2013
J. Park and H. Lühr
Ann. Geophys., 31, 1035–1044, https://doi.org/10.5194/angeo-31-1035-2013, https://doi.org/10.5194/angeo-31-1035-2013, 2013
G. N. Kervalishvili and H. Lühr
Ann. Geophys., 31, 541–554, https://doi.org/10.5194/angeo-31-541-2013, https://doi.org/10.5194/angeo-31-541-2013, 2013
B. Heilig and H. Lühr
Ann. Geophys., 31, 529–539, https://doi.org/10.5194/angeo-31-529-2013, https://doi.org/10.5194/angeo-31-529-2013, 2013
H. Lühr, F. Yin, and R. Bock
J. Sens. Sens. Syst., 2, 9–17, https://doi.org/10.5194/jsss-2-9-2013, https://doi.org/10.5194/jsss-2-9-2013, 2013
Y. L. Zhou, S. Y. Ma, R. S. Liu, H. Luehr, and E. Doornbos
Ann. Geophys., 31, 15–30, https://doi.org/10.5194/angeo-31-15-2013, https://doi.org/10.5194/angeo-31-15-2013, 2013
Related subject area
Subject: Earth's ionosphere & aeronomy | Keywords: Equatorial ionosphere
Ionosonde and GPS total electron content observations during the 26 December 2019 annular solar eclipse over Indonesia
Signature of gravity wave propagations from the troposphere to ionosphere
Latitudinal variation of Pc3–Pc5 geomagnetic pulsation amplitude across the dip equator in central South America
Diurnal, seasonal and solar cycle variation in total electron content and comparison with IRI-2016 model at Birnin Kebbi
Morphology of GPS and DPS TEC over an equatorial station: validation of IRI and NeQuick 2 models
Jiyo Harjosuwito, Asnawi Husin, Varuliantor Dear, Johan Muhamad, Agri Faturahman, Afrizal Bahar, Erlansyah, Agung Syetiawan, and Rezy Pradipta
Ann. Geophys., 41, 147–172, https://doi.org/10.5194/angeo-41-147-2023, https://doi.org/10.5194/angeo-41-147-2023, 2023
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An annular solar eclipse passed over Southeast Asia on 26 December 2019. The passage of an eclipse can cause observable effects on the Earth's ionosphere. Studying these effects may help us build a better understanding of the Earth's upper atmosphere and the geospace environment. Taking advantage of the growing network of GPS receivers and existing ionosondes in the region, we examined changes in the low-latitude ionosphere over Southeast Asia during this solar eclipse.
Hisao Takahashi, Cosme A. O. B. Figueiredo, Patrick Essien, Cristiano M. Wrasse, Diego Barros, Prosper K. Nyassor, Igo Paulino, Fabio Egito, Geangelo M. Rosa, and Antonio H. R. Sampaio
Ann. Geophys., 40, 665–672, https://doi.org/10.5194/angeo-40-665-2022, https://doi.org/10.5194/angeo-40-665-2022, 2022
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We observed two different wave propagations in the earth’s upper atmosphere: a gravity wave in the mesosphere and the ionospheric disturbances. We investigated the wave propagations by using airglow imaging techniques. It is found that there was a gravity wave generation from the tropospheric convection spot, and it propagated upward in the ionosphere. This reports observational evidence of gravity wave propagation from the troposphere to ionosphere.
Graziela B. D. Silva, Antonio L. Padilha, and Livia R. Alves
Ann. Geophys., 38, 35–49, https://doi.org/10.5194/angeo-38-35-2020, https://doi.org/10.5194/angeo-38-35-2020, 2020
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The paper shows a statistical analysis of Pc3 and Pc5 pulsations recorded during 60 d (September to November 1994) by a meridional magnetometer profile crossing the dip equator in central South America. This is the first time that a detailed mapping of latitudinal dependence of pulsation amplification at very low latitudes has been performed. One of the most prominent findings is that our equatorial Pc5s might be related to both horizontally and vertically incident MHD waves in the ionosphere.
Aghogho Ogwala, Emmanuel Olufemi Somoye, Olugbenga Ogunmodimu, Rasaq Adewemimo Adeniji-Adele, Eugene Oghenakpobor Onori, and Oluwole Oyedokun
Ann. Geophys., 37, 775–789, https://doi.org/10.5194/angeo-37-775-2019, https://doi.org/10.5194/angeo-37-775-2019, 2019
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Higher total electron content (TEC) day-to-day variations during the daytime than at night were observed for all years. The diurnal variation shows observed
TEC (OBS-TEC) rising rapidly from a minimum just before sunrise at 03:00–05:00 LT (∼2 TECU) in 2011, 04:00–05:00 LT (∼3 TECU) in 2012, 03:00–05:00 LT in 2013 (∼3 TECU) and 03:00–05:00 LT in 2014 (∼3 TECU). OBS-TEC is found to increase to a broad daytime maximum at 00:12–00:16 LT for all years before falling to a minimum after sunset.
Olumide Olayinka Odeyemi, Jacob Adeniyi, Olushola Oladipo, Olayinka Olawepo, Isaac Adimula, and Elijah Oyeyemi
Ann. Geophys., 36, 1457–1469, https://doi.org/10.5194/angeo-36-1457-2018, https://doi.org/10.5194/angeo-36-1457-2018, 2018
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This paper investigates the combined relationship between the GPS TEC and DPS TEC, and validations of IRI TEC and NeQ TEC models. Our findings reveal the suitability of DPS TEC, IRI TEC, and NeQ TEC in place of GPS TEC. The DPS TEC predicts GPS TEC very well during the daytime when PEC contribution is often negligible; however, the dusk period requires a substantial correction. Thus, the changed TEC obtained could be used to improve models for the equatorial station in Africa.
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Short summary
Extreme meteorological events such as SSWs induce variabilities in the ionosphere by modulating the atmospheric tides, and these variabilities can be comparable to a moderate geomagnetic storm. The equatorial electrojet (EEJ) is a narrow ribbon of current flowing over the dip equator in the ionosphere and is particularly sensitive to tidal changes. In this study, we use ground-magnetic measurements to investigate the semidiurnal solar and lunar tidal variabilities of the EEJ during SSWs.
Extreme meteorological events such as SSWs induce variabilities in the ionosphere by modulating...