Here Foote, MaxFL has it sorted.
C T M (CHICKEN TIKKA MASALA)
C- CAS
T-TAS
M- MACH
let’s try an example. Using your thumb and next two fingers on your left hand with your palm facing towards you. Your thumb is CAS, middle finger TAS and other MACH.
Now, imagine you were to climb at a constant CAS. What you want to figure out is what is happening to the TAS and the MACH. So CAS is a bench mark for this example and therefore we need to do something with our thumb.
Rotate your hand so that your thumb is pointing straight up in the air. What’s happened to your other fingers? They're both pointing to the right, right? Or if you imagine that is a graph format, they are increasing. So TAS and MACH increase
look at it the other way, if you were descending at the CAS, so starting at the top of your thumb and coming vertically downwards, so coming back down the fingers they are now decreasing also. So descending at a CONSTANT CAS the TAS and the MACH decrease.
Now rotate your hand so that the middle finger is pointing upwards.
So a climb at constant TAS, the CAS decreases and the MACH increases.
MACH NUMBER CALCULATED WITH PA AND CAS AND TO FIND TAS ADD OAT
CLIMB AT CONSTANT CAS IN STANDARD ATMOSPHERE – TAS AND MACH INCREASE
DESCENT AT CONSTANT CAS IN STANDARD ATMOSPHERE – TAS AND MACH DECREASE
CLIMB AT CONSTANCT MACH IN STANDARD ATMOSPHERE – TAS AND CAS DECREASE
DESCENT AT CONSTANT MACH IN STANDARD ATMOSPHERE – TAS AND CAS INCREASE
CLIMB AND DESCENT THROUGH AN ISOTHERMAL LAYER
CLIMB/DESCNET AT A CONSTANT MACH – TAS WILL NOT CHANGE AND CAS WILL DECREASE IN A CLIMB AND INCREASE IN A DESCENT
CLIMB AT A CONSTANT CAS – THE TAS AND MACH WILL BOTH INCREASE AT THE SAME RATE
CLIMB AND DESCENT THROUGH AN INVERSION
CONSTANT MACH CLIMB THE TAS WILL INCREASE. CAS WILL REDUCE
DESCENDING AT CONSTANT MACH TAS WILL REDUCE AND CAS WILL INCREASE
CLIMBING AT CONSTANT CAS THE TAS AND MACH WILL BOTH INCREASE BUT TAS AT A GREATER RATE+
Also have an understanding of dutch roll and what and why is causing it. The relationship of spiral instability and stability, longitudinal and lateral stability etc.
Also properties of avgas versus kero eg, flashpoint
cheers