Belega Bogdan-Alexandru. A mathematical model for computing the trajectories of rockets in a resistant medium taking into account the earth's rotation. The system of differential equations of the rocket's trajectory

Scientific articles. — International conference of scientific paper AFASES 2012 Brasov, 24-26 May 2012. — 8 p.Within this paper, there is established the system of ordinary equations of the trajectory of a rocket with respect to the Earth, while taking into account, the aerodynamic drag, the weight, and the Earth's rotation and curvature. The local latitude and the longitude during the, flight, which implicitly appear in the expressions of the forces acting upon the rocket, are also calculated. The mathematical model thus obtained is rendered in forms utilized in ballistics. This system of equations can also he used for the calculation of the trajectory of an active-reactive projectile, and also, with some adjustments, for the calculation of the orbit of an aerospace vehicle.The expressions of the forces acting on the rocket within the hypothesis of the fundamental problem of the external ballistics
Forces effectively applied
The thrust
The aerodynamic drag
The weight
The inertial coriolis force
The system of differential equations of the rocket’s trajectory