Use of an Energy-Like Integral to Study the Motion of an Axi-Symmetric Satellite under Drag and Radiation Pressure

Ahmed Mostafa^*

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.

DOI: 10.4236/ijaa.2015.53019                

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.

Keywords

Artificial Satellite, Drag Effect, Radiation Pressure

Conflicts of Interest

The authors declare no conflicts of interest.

References

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