Semi-Analytical and Numerical Solution of Regularized Burdet Equations to Predict the Motion of an Artificial Satellite
American Journal of Applied Mathematics
Volume 2, Issue 3, June 2014, Pages: 85-91
Received: May 19, 2014;
Accepted: Jun. 7, 2014;
Published: Jun. 20, 2014
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Hany R. Dwidar, Astronomy, Meteorology and Space Science Dept., Faculty of Science - Cairo University, Giza, Egypt
In this paper, literal analytical solution in power series forms which is one of the semi-analytical solution, are developed for the regularized Burdet equations to estimate the motion of an artificial satellite under the influence of J2-Earth’s gravitational field. Also a numerical solution of the regularized Burdet equations is applied using eighth order Dormand-Prince Rung-Kutta method. Comparison between the power series solution and the numerical solution applied to high eccentric frozen satellite orbit is also given and showed excellent agreement.
Hany R. Dwidar,
Semi-Analytical and Numerical Solution of Regularized Burdet Equations to Predict the Motion of an Artificial Satellite, American Journal of Applied Mathematics.
Vol. 2, No. 3,
2014, pp. 85-91.
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