Mathematics
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Item Tidal variation m the west coastal area of Sri Lanka.(International Conference on Computational Modelling and Simulation-2017 (ICCMS 117), Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka., 2017) Munasinghe, J.; Gunasekera, H.D.S.The present study was carried out in an attempt to observe and analyze the tidal height changes due to the motion of the sun, moon and earth, in the west coastal area of Sri Lanka. Tidal height deviations from the Mean Sea Level (MSL) were measured every 15 minutes throughout the year 2015 using the tide pole installed in the sea, 100m away from Colombo Fort, which was built by the Hydrography Survey Unit of the Sri Lanka Navy. Using the obtained data, the behaviour of tidal waves was identified. The main tidal constituents were obtained using the Fast Fourier Transformation (FFT) and the Interpolation method. The mean value of the High Water Level (MHWL) and the mean value of the Low Water Level (MLWL) of the tides were then calculated for each month of the year. These mean values were used to update the Mean Sea Level (MSL). The main tidal constituents for each month were then used to identify the behaviour of tidal waves.Item Confirmation of earth’s closed loop orbit using tidal waves.(Sri Lanka Association for the Advancement of Science Proceedings of the 73rd Annual Sessions - 2017 , Department of Mathematics, University of Kelaniya,Sri Lanka., 2017) Munasinghe, J; Kekulawala, K.I.S.The word 'tide' is a prevalent term used to define the alternating rise and fall in the sea level wit respect to the land, produced by the gravitational attraction of the moon and the sun. To a bett understanding of the tide,-it is necessary to study each astronomical motion, together with it associated tide producing forces, separately. The present study was carried out with an attempt t confirm the Earth’s closed loop orbit using tidal height changes due to the motion of the Sun, Moo and Earth in the Trincomalee coastal area of Sri Lanka. Tidal heights from the Mean Sea Level (MS were measured every fifteen minutes throughout the year 2015 (365 days) using the tide pole installs in the sea in the Trincomalee coastal area, which was built by the Hydrography Survey Unit of Sri Land Navy. Using the data obtained, the behavior of tidal waves was identified. The main tidal constituen were obtained using Tidal Analysis Tool (TAT). The tidal constituent ’Principal solar semidiurn constituent’ (52), which is the consideration of the tidal effect caused by the sun, was then chosen fro TAT application because the Earth‘s orbit around the Sun is caused only by the forces between t Earth and the Sun. Fast Fourier Transformation (FFT) and Interpolation methods were used to analyz the chosen tidal constituent, Sz, together with the obtained tidal data to confirm the Earth’s close loop orbit around the Sun. Meteorological factors and human errors can occur while collectin data and hence there are eighteen peaks towards the inside of the loop. The following ellipti shaped orbit was obtained at the confidence level of 50% after removing such data. Figure 1: Earth’s closed loop orbit