Abstract: This paper proposes a novel trajectory-orbit unified approach for the trajectory design of the aerospace vehicle, which includes the launching phase and the orbit transfer phase. First, a unified dynamical model for the trajectory and orbit under the action of continuous thrust, aerodynamic force, gravitational force and perturbative force is established by improving the non-Keplerian equations. Then, an algorithm based on the shape-based method is developed for the unified design of the trajectory and orbit. The contributions of the proposed method are as follows: the low thrust, gravity, aerospace dynamic force and perturbation are unifiedly modeled to develop a novel dynamics model that can be utilized for the design of both trajectory and orbit; a shaping method based on the Furious series method is developed for the design of the thrust constraints trajectory; with the inverse method, the whole trajectory design including the launching phase and the orbital transfer phase is designed unifiedly, which can simplify the trajectory design and optimization for aerospace vehicle. Simulation results verify the effectiveness and feasibility of the proposed unified method.

Key words: aerospace vehicles, trajectory-orbit unified design, non-Keplerian orbit, trajectory design inverse method, Fourier series