关键词: 边值问题, 最优性；内点；脉冲轨道

Abstract:

For a spacecraft with high thrust, a general equations based on variational calculus for formulating the Hamilton boundary value problem (HBVP) is proposed, where the optimality conditions on interior points and other general boundary points (inclucling initial and final points) are in the same manners, so that our equations tend to reveal the more intrinsic analytic structure of HBVP. The detailed optimality conditions can be determined conveniently according to the general equations; therefore, the tedious task of formulating HBVP is precluded. Simulations show that the method proposed in this paper could ensure obtaining the optimal flight path of the high-thrust spacecraft effectively and efficiently.

Key words: Boundary value problem, Optimality, Interior point, Impulsive trajectory