The invention relates to an interplanetary low-thrust
transfer orbit design method based on polynomial approximation. Firstly, variable initial value guess is designed, the initial value guess of the
transfer orbit design is given, then, the beginning and
tail end boundary conditions of a
detector are calculated, next, a second type Chebyshev polynomial is adopted for fitting the
transfer orbit of the
detector, the performance indexes and the constrained conditions are calculated, finally, whether the feasibility conditions are met or not is judged according to the calculated thrust restriction in accordance with whether the calculated performance indexes meet the optimum conditions or not, if all requirements are met, the optimization is successful, the optimum transfer
orbit is obtained, and if one requirement is not met, the initial value guess of the design variable in the first step is regulated until the optimization is successful. The method utilizes the Chebyshev polynomial for approximating the low-thrust transfer
orbit shape, the time is used as the independent variable, and the
flight time restriction is avoided. The polynomial factor is determined through the beginning and
tail end
orbit state restriction of the
detector, and the method has the
advantage that the fast design on the low-thrust transfer orbits in different task types can be realized according to the given beginning and
tail end boundary conditions.