Normal force - heading change relationship?

[henryrasia]

Hello everyone, quick astronautical question.

How does a normal force (or normal acceleration, if we divide by the mas of the vessel) affect its heading? The fastest the object is moving the least the effect, but is there a mathematical relationship between the force and degrees/second prograde heading change?

[Shpaget]

Of course there is a mathematical relationship.

It's vector addition.

If you know the velocity change in normal direction, then is just a simple right angle triangle hypotenuse calculation.

For a more general calculation, this is how you do it.