This study deals with the problem of planar safe flight of a fighter aircraft in the presence of a pursuing "energybleeding" coasting missile. A"dynamic-escape zone" is proposed as a novel real-time aid for the aircrew to decide when to commence the latest yet safe-kinetic-evasion (that is, missile outrunning) from an already launched missile. Such safe evasion is based on exhausting the energy of the adversary missile to avoid missile rendezvous. At the instance of its calculation, the dynamic-escape zone defines a set of states along the current line of sight. When the evading aircraft is located inside the dynamic-escape zone, survivability can be guaranteed by applying optimal kinetic-evasion strategies, which result in outrunning the missile. A method is suggested to calculate the dynamicescape zone in real-time for online applications. The calculation is based on several conservative assumptions, as well as on knowing the missile and aircraft parameters. Simulations are used to demonstrate the effectiveness of the proposed approach. This is amended with an uncertainty analysis. Finally, a discussion is provided on the potential applications of the dynamic-escape zone approach in various air-combat tasks.