Abstract
The present work aims at constructing an atlas of balanced earth satellite orbits with respect to the secular and long periodic effects of the luni-solar attractions plus the earth oblateness with the harmonics of the geopotential retained up to the 4th zonal harmonic . The variations of the elements are averaged over the fast and medium angles ,thus retaining only the secular and long periodic terms. The models obtained cover all the values of the semi major axis up to 7earth radii with the necessary avoidance of the radiation belts . The atlas obtained is useful for different purposes, with those having the semi major axis between 4 to 7earth radii particularly important for communication and television relay satellites.
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