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
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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.
Astrodynamics, Satellite Orbit Determination, Power Series, Numerical integration
To cite this article
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. doi: 10.11648/j.ajam.20140203.13
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