The general study of the forces on a rocket or other spacecraft is called astrodynamics.
Rockets are primarily affected by the following during flight.
Thrust from the engine(s)
Gravity from celestial bodies
Drag if moving in the atmosphere
Lift; usually relatively small effect except for rocket-powered aircraft.
In addition, the inertia/centrifugal pseudo-force can be significant due to the path of the rocket around the center of a celestial body.
During a rocket launch, there is a point of maximum aerodynamic drag called Max Q. This determines the minimum aerodynamic strength of the vehicle.
These forces, with a stabilising tail present will cause the vehicle to follow a gravity turn trajectory, and this trajectory is often used during a launch
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