Calculating satellite ballistic lifetime with numerical method due to angle of attack and aerodynamics moments

This paper describes an analytical solution for calculating the aerodynamic coefficients and forces that are depending on the satellites angle of attack in LEO orbit. Aerodynamics forces are one of the perturbing forces which are government forces in LEO orbit and they can reduce satellite life time. Unfortunately these forces are function of geometric parameter، density of atmosphere، temperature، time، velocity and force coefficient so simulation of these kinds of forces are too hard and most of method which use for modeling have low Accuracy، because of this we could not predict satellite lifespan correctly. In this paper we produce new approach for solving this issues which improve Accuracy by solving equations as a function of angle of attack. We calculate satellite ballistic lifetime with numerical method (Cowell method) and aerodynamics torque simulates as function of angle of attack. At the end our simulation validated with STK8 software which shows good similarity of our method with STK8 software.