SIMULATION OF EARTH PLANETARY ORBITS USING A MODIFIED INVERSE SQUARE MODEL

This paper is aimed at simulating earth planetary orbits using a Modified Inverse Square Model. The environmental and climatic challenges as currently witnessed appear to suggest that the usual Inverse Square law of earth planetary motion may be far from being correct. The modified Inverse Square Model was simulated using the fourth order Runge-Kutta method implemented through the ode45 solver of the Mat lab. The parameter β in the Model acts in switching on the modification of the Inverse square Law. When β =0, there is no modification of the model and the usual earth elliptic planetary orbit was ensured. With B > 0, the orbits of the earth showed interesting patterns (depending on the strength of β). The earth at certain period of the year moves very close to the sun and very remote from the sun at some other times. The results obtained shows that the intensity of the sun is very high which induces high temperature, rapid vaporization to the earth which causes sea level to rise and change in the amount of and pattern of precipitation or rainfall and expansion of subtropical deserts, retreat of glaciers etc; it also causes changes in the frequency and intensity of extreme weather events, and changes in agricultural yields or suppression of vegetation. It is suggested that illegal bush burning and deforestation should be avoided to decrease Global warming (GW) and depletion of Ozone layer such that the earth will not be close to the sun but remote from the sun for the comfortability of earth satellites.