地面多目标快速响应任务轨道设计

Motivated by the need for operationally responsive space, for the multi-target Earth imaging tasks, an orbit design method is proposed to solve the orbit design problems of revisiting four ground targets and single-visit five ground targets under the J₂ perturbation. Firstly, for a given orbital inclination, the right ascension of ascending node and the argument of latitude are analytically solved by the constraint of the first target point. Then, the argument of perigee, eccentricity, semi-major axis are obtained by combining the constraints of the second, third, and fourth target points numerically. Finally, under the constraint of the repeating ground-track orbit or the visit to the fifth target point, the orbit design problem is transformed into solving one nonlinear equation containing only the inclination, and it is numerically solved by the one-dimensional search method. Numerical examples show that the ground tracks of the designed orbit can exactly pass through the given target points, which validates the effectiveness and correctness of the proposed method.