CAS
= Dynamic Pressure
Dynamic Pressure = 1/2pV^2(where V = TAS)
Density is increasing but CAS is staying the same so TAS must decrease
Try putting some basic numbers in to illustrate (the numbers themselves are
irrelevant for this purpose).
Dynamic Pressure = 4 x 10^2 = 400 - so CAS now needs to stay at 400
Pressure increases so density increases so:-
Dynamic Pressure = 8 x 10^2 = 800 - with TAS constant in this example CAS would
increase therefore for the CAS to stay constant the TAS would need to reduce.