An approximate analytical method for lifting re-entry trajectory generation

For lifting re-entry vehicle with middle/high lift-drag ratio, the accurate re-entry trajectory closed-form analytical solution can improve the precision and adaptability of guidance system. This paper proposed a uniform constraints analytical formula based on derivation and integration and then obtained the closed-form analytical solution of bank angle, flight path angle and its rate for re-entry trajectory in r-V space. With Gauss-Legendre quadrature and the obtained analytical bank angle, range prediction formula was obtained. The simulation test shows that the proposed closed-form analytical solution has high precision and good adaptability for different flight missions.