With the status of beyond-visual-range precision strike ammunition in the military field increasing year by year, the importance of terminal guided projectile is increasing year by year. The transition guidance law are studied deeply in this paper. The advantages and disadvantages of different ballistic models and their application scenarios are analyzed and compared. Research has been conducted on energy-optimal guidance laws passing through a virtual intercept point, treating the precise guidance problem through the intercept point as a specialized case of path following. This involves two ballistic points: the virtual intercept point and the target point. The study separately investigates the global optimal guidance problems without terminal angle constraints and with consideration of terminal angle constraints. Analytical solutions are derived and nonlinear models are simulated accordingly.