TITLE:
Use of an Energy-Like Integral to Study the Motion of an Axi-Symmetric Satellite under Drag and Radiation Pressure
AUTHORS:
Ahmed Mostafa
KEYWORDS:
Artificial Satellite, Drag Effect, Radiation Pressure
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.5 No.3,
September
1,
2015
ABSTRACT: 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 θ, 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.