Air to air engagement the vector coast to its target by using the velocity gained and generating enough lift via the control surfaces to not lose energy due to gravity pull ie not lose the gained kinetic impulse. If there were no large mid body control surface present , it would not have coasted to long distance due to no active propulsion. This is mitigated by using dual pulse or multi pulse propulsion where another active powered flight can happen a short while after the first stage motor burn completion. Hence Astra got long chord fins for both versions to fly longer distance, while Akash NG can do with 2 smaller set of fins.@marich01
Old topic but is the flight trajectory/path of Lrashm comparable to that of meduim-long range Air-2-air/sirface-to Air missiles
Flight of ground up glide profile system like LRAShM would be slightly different due to range (primary constraint) and its high Lift to drag ratio which is designed so it can sustain long glide flight via aerodynamic lift. This lift is also generated due to very high acceleration which changes the boundary layer interaction between air and body surface. The air is turned into plasma and shock waves are generated which enables the waverider concept. This phenomenon is unlikely at air to air speed which is usually below mach 5, while lrashm work at far higher speed regime.
Range is primary constraint because the algorithm you would calculate will be applicable for a specific range like upto/below 400km in the graph above. This algo program can power the autopilot which drives this specific system upto <400km range. But the same algo will not give satisfactory result for LRAShM kind 1500km range requirement. Other parameters will affect the equation. That is why different constraint based different algorithm is generated and each set creates a new flight trajectory option. Some being good and some giving average result.
Also fixed ground target vs a maneuvering target or target in motion create need fo different algorithm for engagement. Hence the sam system obc algo program differs to some air to ground target obc algo program. Seeker is needed to function differently.






