Efficient algorithms for the earth's gravitational potential and its partial derivatives for satellite prediction |
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| Authors: | Mohamed Adel Sharaf Mervat El-Sayed Awad Mona A Banaja |
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| Institution: | (1) Dept. of Astronomy, Cairo University, Egypt;(2) Present address: Department of Astronomy, King Abdul-Aziz Univ, Jeddah, Saudi Arabia;(3) Department of Mathematics, Girls College of Education, Jeddah, Saudi Arabia |
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| Abstract: | In this paper, economical recursion formulae for the Earth's gravitational potential and its partial derivatives with respect to the Cartesian coordinates, and time will be established for any number and any type of the harmonic coefficients. General computational algorithms for their implementations on digital computers are also given.Now at the Department of Astronomy, King Abdul-Aziz Univ., Jeddah, Saudi Arabia.Now at the Department of Mathematics, Girls College of Education, Jeddah, Saudi Arabia. |
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