ABSTRACT
The Comparative Analysis of Chaotic Features of Meteorological Parameters during Total Solar Eclipse of 29th March 2006 has been carried out using the Nonlinear Dynamical Analytical Methods which include Lyapunov Exponent (LE), Recurrence plot (RP) and Recurrence Quantification Analysis (RQA). The underlying dynamics and hidden structures in data recorded for meteorological parameters such as atmospheric Pressure, wind speed, Radiative fluxes, and Soil temperature and Air temperature during the total solar eclipse of 29th March 2006 were visualized and quantified. It was observed that the instability and unpredictability of meteorological parameters during the solar eclipse event were characterized by nonlinearity, nonstationarity and chaotic features. The low values of recurrence quantifiers (DET, ENT, LMAX, RR) and positive value of largest Lyapunov exponents for all the parameters confirmed that the meteorological parameters exhibit chaotic features during the event of solar eclipse and these chaotic features are more pronounced in some parameters such as atmospheric pressure, temperature at lower level than others such global radiation, solar heat flux, wind speed and temperature at greater level. The values of these three quantifiers (Lmax, DET, ENT) are the lowest values for atmospheric pressure which are 2.0000, 0.0001, 0.2069, respectively and highest values for soil temperature depending on the depth of soil measured are 19.4167, 1.3498, 1.0000 respectively. The Soil temperature during the solar eclipse was measured and recorded at different depth of soil 5 cm, 10 cm and 30 cm and the nature of the soil, type of vegetations on the soil, bare soil were also considered during the measurement. The largest Lyapunov exponents were carried out for each of this depth. At the depth of 5 cm, λ = 0.0239 on a day before the eclipse and λ = 0.0314 on both the eclipse day and post-eclipse days, that indicates the sensitive dependence on initial conditions of Soil temperature at 5 cm depth.
References
- Adeniyi, J.O., Radicella, S.M., Adimula, I.A., Willoughby, A.A., Oladipo, O.A., Olawepo, O., (2007). Signature of the 29 March 2006 eclipse on the ionosphere over an equatorial station. Journal of Geophysical Research 112, A06314. doi:10.1029/2006JA012197
- Adeniyi, J.O., Oladipo, O.A., Radicella, S.M., Adimula, I.A., Olawepo, A.O., (2009). Analysis on 29 March 2006 eclipse effect on the Ionosphere over Ilorin, Nigeria. Journal of Geophysical Research 114, A11303. doi:10.1029/2009JA014416
- Ahrens, D., Moses, G.I., Lutz, J., Andreas, M., Helmut, M., (2001). Impacts of the solar eclipse of 11 August, 1999 on routinely recorded meteorological and air quality data in South-West Germany. Z. 10 (3), 215–223
- Amiridis, V., Melas, D., Balis, D.S., Papayannis, A., Founda, D., Katragkon, E., Giannakaki, E., Mamouri, R.E., Gerasopoulos, E., Zerefos, C., (2007). Aerosol lider observations and model calculations of the planetary boundary layer evolution over Greece during the March 2006 total solar eclipse. Chem. Phys. Discuss. 7, 13537–13560
- Anderson, R.C., Keefer, D.R., Myers, O.E., (1972). Atmospheric pressure and temperature changes during the 7 March, 1970 solar eclipse. Atmos. Sci. 29, 583–587
- Anfossi, D., Schayes, G., Degrazia, G., Goulart, A., (2004). Atmospheric turbulence decay during the solar total eclipse of 11 August, 1999. Boundary-Layer Meteorol. 111, 301–311
- Aplin, K.L, Harrison, R.G., (2002). Meteorological effects of the eclipse of 11 August 1999 in cloudy and clear conditions. Proceedings of the Royal Society of Long A. 459, 353-371. doi:10.1098/rspa.2002.1042
- Callistus N. U., Ezekiel O. O., Julius U. A., Anani O. I., (2023). Variations of Soil and Air Temperatures at Different Height of Measurements during the Total Solar Eclipse of 29th March 2006. World Scientific News 176 (2023) 43-62
- Chimonas, G., (1971). Atmospheric gravity waves induced by a solar eclipse. Geophys. Res. 76, 7003–7005
- Eaton, F.D., Hines, J.R., Hatch, W.H., Cionco, R.M., Byers, J., Garvey, D., Miller, D.R., (1997). Solar eclipse effects observed in the planetary boundary layer over a desert. Boundary-Layer Meteorol. 83, 331–346
- Economou, G., Christou, E.D., Giannakourou, A., Gerasopoulos, E., Georgopoulo, D., Kotoulas, V., Lyra, D., Tsakalis, N., Tziortzou, M., Vahamidis, P., Papathanassiou, E., Karamanos, A., (2008). Eclipse effects on field crops and marine zooplankton: the 29 March, 2006 total solar eclipse. Chem. Phys. Discuss. 8, 1291–1320
- Eckermann, S.D., Broutman, D., Stollberg, M.T., Ma, J., McCormack, J.P., Hogan, T.F., (2007). Atmospheric effects of the total solar eclipse of 4 December, 2002 simulated with a high-altitude global model. Geophys. Res. 112, D14105
- Espenak and Fred., (2009). Central Solar Eclipses: 1991–2050 .Greenbelt, MD: NASA Goddard Space Flight Center. Retrieved January 15, 2012.
- Fabian, P., Martin, W., Bernhard, R., Heinrich, R., Andreas, S., Peter, K., Hans, S., Harold, B., Foken, T., Bodo, W., Karl-Heinz, H., Rainer,M., Thomas, K., (2001). The BAYSOFI campaign measurements carried out during the total solar eclipse of August 11, 1999. Z. 10(3), 165–170
- Fernandez, W., Hidalgo, H., Coronel, G., Morales, E., (1996). Changes in meteorological variables in Coronel Oviedo, Paraguay, during the total eclipse of 3 November 1994. Earth, Moon and Planets 74, 49–59
- Foken, T., Bodo, W., Otto, K., Jo¨rg, G., Martin, W., Tamas, Weidinger., (2001). Micrometeorological measurements during the total solar eclipse of August 11, 1999. Z. 10 (3), 171–178
- Founda, D., Melas, D., Lykoudis, S., Lisarsidis, I., Gerasopoulos, E., Kouvarakis, G., Petrakis, M., Zerefos, C., (2007). The effect of the total solar eclipse of 29 March 2006 on meteorological variables in Greece. Chem. Phys. Discuss 7, 10631–10667
- Gerasopoulos, E., Zerefos, C. S., Tsagouri, I., Founda, D., Amidiris, V., Bais, A.F., Belehaki, A., Christou, N., Economou, G., Kanakidou, M., Karamanos, A., Petrakis, M., Zanis, P., (2007). The total solar eclipse of March 2006: overview. Chem. Phys. Discuss 7, 17663-17704
- Kirshnan, P., Kunhikrishnan, P.K., Muraleedharan Nair, S., Ravindran, S., Ramachan- dran, R., Subrahamanyan, D.B., Venkata Ramana, M., (2004). Observations of the atmospheric surface layer parameters over a semi arid region during the solar eclipse of 11 August, 1999. Indian Acad. Sci. (Earth Planet Sci.) 113, 353-363
- Kumar, S.S., Rengaiyan, R., (2011). Influence of solar eclipse on sea water. Natural Science 3 (1), 69–74
- Leeds-Harrison, P., Youngs, E.G., Blackburn, D.W.K., (2000). Soil temperature during the total solar eclipse on 11th August 1999. European Journal of Soil Science 51, 183-184
- Littmann, Mark; Espenak, Fred; Willcox, Ken (2008). Totality: Eclipses of the Sun. Oxford University Press. pp. 18–19. ISBN 978-0-19-953209-4
- Lorenz, E.N. (1963). Deterministic Nonperiodic Flow. Journal of Atmospheric Sciences, 20, 130-141. http://dx.doi.org/10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2
- Mahmood Rezaul, Schargorodski Megan, Rappin Eric, Griffin Melissa, Collins Patrick, Knupp Kevin, Quilligan Andrew, Wade Ryan, Cary Kevin, and Foster Stuart, (2020). Meteorological Response to a Total Solar Eclipse. Papers in Natural Resources 1354
- Marwan, N., (2003). Encounters with neighbors: Current development of concepts based on recurrence plots and their applications, Ph.D. Thesis, Universitat Potsdam, pp. 18-21.
- Marwan, N., Romano, M.C., Thiel, M., Kurths, J., (2007). Recurrence Plots for the analysis of complex systems. Rep. 2007, 237-329. https://doi.org/10.1016/J.physrep.2006.11.001
- Meeus, J., (2003). The maximum possible duration of a total solar eclipse. Journal of the British Astronomical Association. 113 (6): 343–48. Bibcode: 2003JBAA. 113.343M. Retrieved 22 December 2013
- Nymphas, E.F., Adeniyi, M. O., Ayoola, M. A., Oladiran, E. O.,(2009). Micrometeorological measurement in Nigeria during the total solar eclipse of 29 March 2006. Journal of Atmospheric and Solar Terrestrial Physics 71, 1245–1253
- Sambandan, K., Seethala Devi, K., Santosh Kumar, S., Nancharaiah, M and N. Dhatchanamoorthy. 2012. Effects of Solar Eclipse on Photosynthesis of Portulaca oleracea and Phyla nodiflora in Coastal Wild Conditions. Journal of Phytology 4(2): 34-40.
- Szaowski K., (2002). The effect of the solar eclipse on air temperature near the ground. Atmos. Sol. Terr. Phys. 64, 1589–1600
- Webber, C.L., and Zbilut, J.P., (2005). Recurrence quantification analysis. pp 27-94. Recurrence Quantification Analysis of Nonlinear Dynamical Systems. http://www.nsf.gov/sbe/bcs/pac/nmbs/nmbs.jsp.
- Werner Eugster, Carmen Emmel, Sebastian Wolf, Nina Buchmann, Joseph P. McFadden, and Charles David Whiteman. (2017). Effects of vernal equinox solar eclipse on temperature and wind direction in Switzerland. ETH Zurich, Department of Environmental Systems Science, Institute of Agricultural Sciences, 8092 Zurich, Switzerland. Chem. Phys. 17, 14887–14904
- Winkler, P., Uwe, Kaminski, Ulf, Kohler, Johann, Riedl, Hans, S., Doris, Anwender, (2001). Development of meteorological parameters and total ozone during the total solar eclipse of August 11, 1999. Z. 10 (3), 193-199
- Young, and Alex, (2017). How Eclipses Work. NASA. Retrieved 21 September 2017.
- Zbilut, J. and Webber, J. C., (1992). Embeddings and delays as derived from recurrence quantification plots. Physics Letters A 171, 199-203
- Zerefos C.S., et al., (2007). Evidence of gravity waves into the atmosphere during the March 2006 Total Solar Eclipse. Atmospheric Chemistry and Physics 7, 4743-4951. doi:10.5194/acp-7-4943-2007
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