%0 Journal Article %T Use of an Energy-Like Integral to Study the Motion of an Axi-Symmetric Satellite under Drag and Radiation Pressure %A Ahmed Mostafa %J International Journal of Astronomy and Astrophysics %P 148-154 %@ 2161-4725 %D 2015 %I Scientific Research Publishing %R 10.4236/ijaa.2015.53019 %X The axi-symmetric satellite problem including radiation pressure and drag is treated. The equations of motion of the satellite are derived. An energy-like is given for a general drag force function of the polar angle ¦È, and then it is used to find a relation for the orbit equation of the satellite with initial conditions satisfying the vanishing of arbitrarily choosing higher derivatives of the velocity. %K Artificial Satellite %K Drag Effect %K Radiation Pressure %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59334