Conventional analytical approaches for reentry glide trajectories often assume fixed flight profiles, limiting maneuverability. To overcome this, this paper presents an analytical method for three-dimensional glide-phase trajectory generation based on an altitude-velocity profile. The trajectory is decomposed into longitudinal and lateral components. The longitudinal motion is derived directly from the altitude-velocity relationship, while the lateral motion is modeled using a generalized latitude-longitude framework. A perturbation method breaks the lateral model into a sequence of lower-order sub-models, each solved recursively. Lagrange interpolation is used to approximate the integral terms, yielding an efficient analytical solution. Simulations confirm the method’s accuracy, speed, and flexibility for diverse lateral maneuvers, highlighting its practical potential.

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Analytical 3D Trajectory Solution and Simulation Analysis for Reentry Glide Vehicles Based on the Perturbation Method

  • Yujie Bai,
  • Ju Huo,
  • Zheng Mei,
  • Songyan Wang,
  • Tao Chao

摘要

Conventional analytical approaches for reentry glide trajectories often assume fixed flight profiles, limiting maneuverability. To overcome this, this paper presents an analytical method for three-dimensional glide-phase trajectory generation based on an altitude-velocity profile. The trajectory is decomposed into longitudinal and lateral components. The longitudinal motion is derived directly from the altitude-velocity relationship, while the lateral motion is modeled using a generalized latitude-longitude framework. A perturbation method breaks the lateral model into a sequence of lower-order sub-models, each solved recursively. Lagrange interpolation is used to approximate the integral terms, yielding an efficient analytical solution. Simulations confirm the method’s accuracy, speed, and flexibility for diverse lateral maneuvers, highlighting its practical potential.