Relativistic and the first sectorial harmonics corrections in the critical inclination |
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| Authors: | W A Rahoma E H Khattab F A Abd El-Salam |
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| Institution: | 1. Department of Astronomy and Space Science, Faculty of Science, Cairo University, Cairo, 12613, Egypt
2. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah, KSA
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| Abstract: | The problem of the critical inclination is treated in the Hamiltonian framework taking into consideration post-Newtonian corrections as well as the main correction term of sectorial harmonics for an earth-like planet. The Hamiltonian is expressed in terms of Delaunay canonical variables. A canonical transformation is applied to eliminate short period terms. A modified critical inclination is obtained due to relativistic and the first sectorial harmonics corrections. |
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