Accurately quantifying the force and motion behavior of the projectile in the bore is of great significance for the design optimization, performance and efficiency, especially for the anti-overload design and ability improvement of the new high-overload projectile. Combined with the research practice of image terminal guided projectile, based on the analysis of the characteristics of projectile motion environment in bore, the basic process of constructing projectile motion model in bore, the physical essence of projectile-cylinder-jet and the main characteristics of various method are expounded by using vector mechanics based on Newton-Euler equation, analytical mechanics based on Lagrange variational principle and Kane method derived from vector mechanics and analytical mechanics. According to the specific model forms established under different simplified assumptions, the numerical solution ideas and methods of two kinds of models without considering the projectile-cylinder-jet interaction and projectile-cylinder-jet coupling interaction are analyzed, and the treatment of the coupling effect between the projectile and the barrel after the belt is squeezed in and squeezed in, the high-speed friction power and thermal interaction between the projectile and the gun, and the interaction degree between the fluid mechanics of propellant combustion reaction and the solid structure mechanics of the projectile and gun are expounded. Finally, the research deficiency and follow-up work in this field are summarized and prospected. The relevant research results can provide theoretical guidance and method reference for the analysis of anti-launching, high overload and failure mechanism of image terminal guided projectiles and other new high overload projectiles.