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Relativistic and the first sectorial harmonics corrections in the critical inclination
Journal article   Peer reviewed

Relativistic and the first sectorial harmonics corrections in the critical inclination

W. A. Rahoma, E. H. Khattab and F. A. Abd El-Salam
Astrophysics and space science, Vol.351(1), pp.113-117
01/05/2014
DOI: https://doi.org/10.1007/s10509-014-1811-4

Abstract

Astrobiology Astronomy Astrophysics and Astroparticles Cosmology Observations and Techniques Original Article Physics Physics and Astronomy Space Exploration and Astronautics Space Sciences (including Extraterrestrial Physics
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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