Prediction of trajectories in the Earth's gravitational field with axial symmetry using KS uniform regular elements |
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| Authors: | Amr A Sharaf |
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| Institution: | (1) Department of Computer Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia;(2) Present address: Dept. of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Egypt |
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| Abstract: | In this paper, a motion prediction algorithm based on the KS regular elements is developed for the motion in the Earth's gravitational field with axial symmetry. The algorithm is of recursive nature and general in the sense that it could be applied for any conic motion whatever the number of zonal harmonic coefficientsN  2 may be. Applications of the algorithm for the problem of the final state prediction are illustrated by numerical examples of eight typical ballistic missiles for geopotential model with zonal harmonic terms up toJ
36. A final state of any desired accuracy is obtained for each case study, a result which shows the efficiency and the flexibility of the algorithm. |
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