On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere

Vin Bhatnagar

doi:doi:10.11648/j.ijass.20210901.12

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On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere

Vin Bhatnagar

Published in International Journal of Astrophysics and Space Science (Volume 9, Issue 1)

Received: 27 May 2021 Accepted: 18 June 2021 Published: 25 June 2021

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Abstract

The linearized dynamics of the idealized narrow neutral cells at high latitudes in the absence or presence of auroral energy impulse of the type q₀ e^-at is discussed in the upper atmosphere. The general expression for the oscillation amplitude ∆z of the cells is given by ∆ z=q₀ [e^-at – cos (ω t) + a sin (ω t)/ω)]/(a² + ω²) + ν₀ sin (ω t)/ω Here ν₀ is the cell’s initial velocity, ω is its Brunt - Vaisala frequency which varies from about 1.7x10^-2 at 200 km to 1.3x10^-2 radians/s at 300 km for an exospheric temperature of 1000 K. The maximum ∆z varies from a few km at 200 km for 1000 K to about 25 km at 300 km for 2000 K. For the observed high- and low-density cells, ω is less and high respectively by around 15% than those in the ambient atmosphere at 200 km in the temperature range of 1000-2000K. In absence of ν₀ and q₀, the cells are stable in the thermosphere. The oscillations during disturbed conditions, should eventually cease in the presence of existing nonlinear forces like collision frequencies, emission from atomic constituents, heat conduction and losses, which should be further incorporated to provide a framework for their theoretical interpretation and implications for the high latitudinal thermospheric as well for the ionospheric morphology.

Published in	International Journal of Astrophysics and Space Science (Volume 9, Issue 1)
DOI	10.11648/j.ijass.20210901.12
Page(s)	17-20
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Neutral Density Cells, Thermosphere, Exosphere, Ionosphere

References

[1]	Ahn, B. H, Akasofu, S. I and Kamide, Y, The joule heating production rate and the particle injection rates a function of geomagnetic indices AE and AL, J. Geophys. Res., 88, 6275, 1983.
[2]	Bhatnagar, V. P, A. Tan and R. Ramachandaran, The response of the exospheric temperature to the auroral heating impulse during geomagnetic disturbances, J. Atmosph. Solar Terr. Physics, 68, 1237, 2006.
[3]	Bhatnagar, V. P, Coupling of the localized wind wall at high latitudes by neutral cells to the lower thermosphere, Int. J. Astrophysics & Space science, 8 (3), 27, 2020
[4]	CIRA, Cospar International Reference Atmosphere, North Holland, Amsterdam, 1972.
[5]	Crowley, G, J. Schoendorf, R. G. Roble and F. A. Marcos, Satellite observations of neutral density cells in the lower thermosphere at high latitudes, In’ The Upper Mesosphere and the Lower Thermosphere: A review of experiment and theory’, R. M. Johnson and T. L. Killeen (Eds), AGU Monograph# 87, 339, 1995.
[6]	Crowley, G, J. Schoendorf, R, G. Roble and F. A. Marcos, Cellular structures in the high-latitude thermosphere, J. Geophys. Res., 101, 211, 1996.
[7]	De Vries, L. L, Analysis and interpretation of density data from the low-G accelerometer calibration systems (Logacs), Space Res., XII, Akademie Verlag, 777, 1972.
[8]	Hardy, D, Gussenhoven, M. S and Holeman, E., A statistical model of auroral electron precipitation, J. Geophys. Res., 90, 4229, 1985.
[9]	Liu, H, H. Luhr, V. Heinze and W. Kohler, Global distribution of the thermospheric total mass density from CHAMP, J. Geophys. Res., 110, A04301, 2005.
[10]	Roble, R. G, E. C. Ridley, A. D. Richmond and R. E. Dickinson, A coupled thermospheric/ionospheric general circulation model, Geophys. Res. Letters, 15, 1325, 1988.
[11]	Sadler, F. B, M. Lessard, E. Lund, A. Otto and H. Luhr, Annual precipitation / ion upwelling as a driver of neutral density enhancement in the cusp, J. Atmos. Solar Terr. Phys., 87/88, 82, 2012.
[12]	Schoendorf, J, G. Crowley, R. G Roble and F. A. Marcos, Neutral density cells in the high latitude thermosphere—1, Solar maximum cell morphology and data analysis, J. Atmos. Terr. Phys., 58, 1751, 1996.
[13]	Schoendorf, J, G. Crowley and R. G Roble, Neutral density cells in the high latitude thermosphere—2, Mechanisms, J. Atmos. Terr. Phys., 58, 1769, 1996.
[14]	Smith, P. R, P. L. Dyson, D. P. Monselesan and R. J. Morris,
[15]	Ionospheric convection at Casey, a southern Polar Cap station, J. Geophys. Res., 103, 2209, 1998.
[16]	Tolstoy, I and P. Pan, Simplified atmospheric models and the properties of long period internal and surface gravity waves, J. Atmos. Sci., 70, 31, 1970.

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Vin Bhatnagar. (2021). On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. International Journal of Astrophysics and Space Science, 9(1), 17-20. https://doi.org/10.11648/j.ijass.20210901.12

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ACS Style

Vin Bhatnagar. On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. Int. J. Astrophys. Space Sci. 2021, 9(1), 17-20. doi: 10.11648/j.ijass.20210901.12

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AMA Style

Vin Bhatnagar. On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. Int J Astrophys Space Sci. 2021;9(1):17-20. doi: 10.11648/j.ijass.20210901.12

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@article{10.11648/j.ijass.20210901.12,
  author = {Vin Bhatnagar},
  title = {On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {9},
  number = {1},
  pages = {17-20},
  doi = {10.11648/j.ijass.20210901.12},
  url = {https://doi.org/10.11648/j.ijass.20210901.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20210901.12},
  abstract = {The linearized dynamics of the idealized narrow neutral cells at high latitudes in the absence or presence of auroral energy impulse of the type q0 e-at is discussed in the upper atmosphere. The general expression for the oscillation amplitude ∆z of the cells is given by ∆ z=q0 [e-at – cos (ω t) + a sin (ω t)/ω)]/(a2 + ω2) + ν0 sin (ω t)/ω Here ν0 is the cell’s initial velocity, ω is its Brunt - Vaisala frequency which varies from about 1.7x10-2 at 200 km to 1.3x10-2 radians/s at 300 km for an exospheric temperature of 1000 K. The maximum ∆z varies from a few km at 200 km for 1000 K to about 25 km at 300 km for 2000 K. For the observed high- and low-density cells, ω is less and high respectively by around 15% than those in the ambient atmosphere at 200 km in the temperature range of 1000-2000K. In absence of ν0 and q0, the cells are stable in the thermosphere. The oscillations during disturbed conditions, should eventually cease in the presence of existing nonlinear forces like collision frequencies, emission from atomic constituents, heat conduction and losses, which should be further incorporated to provide a framework for their theoretical interpretation and implications for the high latitudinal thermospheric as well for the ionospheric morphology.},
 year = {2021}
}

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TY  - JOUR
T1  - On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere
AU  - Vin Bhatnagar
Y1  - 2021/06/25
PY  - 2021
N1  - https://doi.org/10.11648/j.ijass.20210901.12
DO  - 10.11648/j.ijass.20210901.12
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 17
EP  - 20
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20210901.12
AB  - The linearized dynamics of the idealized narrow neutral cells at high latitudes in the absence or presence of auroral energy impulse of the type q0 e-at is discussed in the upper atmosphere. The general expression for the oscillation amplitude ∆z of the cells is given by ∆ z=q0 [e-at – cos (ω t) + a sin (ω t)/ω)]/(a2 + ω2) + ν0 sin (ω t)/ω Here ν0 is the cell’s initial velocity, ω is its Brunt - Vaisala frequency which varies from about 1.7x10-2 at 200 km to 1.3x10-2 radians/s at 300 km for an exospheric temperature of 1000 K. The maximum ∆z varies from a few km at 200 km for 1000 K to about 25 km at 300 km for 2000 K. For the observed high- and low-density cells, ω is less and high respectively by around 15% than those in the ambient atmosphere at 200 km in the temperature range of 1000-2000K. In absence of ν0 and q0, the cells are stable in the thermosphere. The oscillations during disturbed conditions, should eventually cease in the presence of existing nonlinear forces like collision frequencies, emission from atomic constituents, heat conduction and losses, which should be further incorporated to provide a framework for their theoretical interpretation and implications for the high latitudinal thermospheric as well for the ionospheric morphology.
VL  - 9
IS  - 1
ER  -

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Author Information

Vin Bhatnagar

Centre for Research in Earth and Space Science, York University, Toronto, Canada

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APA Style

Vin Bhatnagar. (2021). On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. International Journal of Astrophysics and Space Science, 9(1), 17-20. https://doi.org/10.11648/j.ijass.20210901.12

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ACS Style

Vin Bhatnagar. On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. Int. J. Astrophys. Space Sci. 2021, 9(1), 17-20. doi: 10.11648/j.ijass.20210901.12

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AMA Style

Vin Bhatnagar. On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere. Int J Astrophys Space Sci. 2021;9(1):17-20. doi: 10.11648/j.ijass.20210901.12

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@article{10.11648/j.ijass.20210901.12,
  author = {Vin Bhatnagar},
  title = {On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {9},
  number = {1},
  pages = {17-20},
  doi = {10.11648/j.ijass.20210901.12},
  url = {https://doi.org/10.11648/j.ijass.20210901.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20210901.12},
  abstract = {The linearized dynamics of the idealized narrow neutral cells at high latitudes in the absence or presence of auroral energy impulse of the type q0 e-at is discussed in the upper atmosphere. The general expression for the oscillation amplitude ∆z of the cells is given by ∆ z=q0 [e-at – cos (ω t) + a sin (ω t)/ω)]/(a2 + ω2) + ν0 sin (ω t)/ω Here ν0 is the cell’s initial velocity, ω is its Brunt - Vaisala frequency which varies from about 1.7x10-2 at 200 km to 1.3x10-2 radians/s at 300 km for an exospheric temperature of 1000 K. The maximum ∆z varies from a few km at 200 km for 1000 K to about 25 km at 300 km for 2000 K. For the observed high- and low-density cells, ω is less and high respectively by around 15% than those in the ambient atmosphere at 200 km in the temperature range of 1000-2000K. In absence of ν0 and q0, the cells are stable in the thermosphere. The oscillations during disturbed conditions, should eventually cease in the presence of existing nonlinear forces like collision frequencies, emission from atomic constituents, heat conduction and losses, which should be further incorporated to provide a framework for their theoretical interpretation and implications for the high latitudinal thermospheric as well for the ionospheric morphology.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - On the Linearized Dynamics of the Neutral Cells at High Latitudes in the Earth’s Thermosphere and Exosphere
AU  - Vin Bhatnagar
Y1  - 2021/06/25
PY  - 2021
N1  - https://doi.org/10.11648/j.ijass.20210901.12
DO  - 10.11648/j.ijass.20210901.12
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 17
EP  - 20
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20210901.12
AB  - The linearized dynamics of the idealized narrow neutral cells at high latitudes in the absence or presence of auroral energy impulse of the type q0 e-at is discussed in the upper atmosphere. The general expression for the oscillation amplitude ∆z of the cells is given by ∆ z=q0 [e-at – cos (ω t) + a sin (ω t)/ω)]/(a2 + ω2) + ν0 sin (ω t)/ω Here ν0 is the cell’s initial velocity, ω is its Brunt - Vaisala frequency which varies from about 1.7x10-2 at 200 km to 1.3x10-2 radians/s at 300 km for an exospheric temperature of 1000 K. The maximum ∆z varies from a few km at 200 km for 1000 K to about 25 km at 300 km for 2000 K. For the observed high- and low-density cells, ω is less and high respectively by around 15% than those in the ambient atmosphere at 200 km in the temperature range of 1000-2000K. In absence of ν0 and q0, the cells are stable in the thermosphere. The oscillations during disturbed conditions, should eventually cease in the presence of existing nonlinear forces like collision frequencies, emission from atomic constituents, heat conduction and losses, which should be further incorporated to provide a framework for their theoretical interpretation and implications for the high latitudinal thermospheric as well for the ionospheric morphology.
VL  - 9
IS  - 1
ER  -

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