利用高斯伪谱法求解最优气动辅助轨道转移

Using Gauss pseudospectral method to optimize aeroassisted orbit transfer

将高斯伪谱法用于共面高轨道到低轨道航天器气动辅助轨道转移的研究。通过将燃料最省指标转化为最佳大气入口、出口条件,将大气内飞行时间最短作为优化指标,利用高斯伪谱法对大气内飞行轨迹进行了优化求解。通过与霍曼轨道转移相对比,气动辅助变轨明显地降低了燃料消耗。同时,说明了高斯伪谱法能够有效地求解最优轨道转移问题。

The Gauss pseudospectral method was used to solve the coplanar aeroassisted orbit transfer from High Earth Orbit to Low Earth Orbit （HEO-LEO）. Using above method the optimal solution was obtained by changing the optimal-fuel index to the suitable atmospherical inlet and outlet conditions and taking the shortest flight time in atmosphere as the optimal index. Compared with Hohmann orbit transfer, the aeroassisted orbit transfer reduces fuel consumption obviously. Meanwhile, it is proved that the Gauss pseudospectral method is effective to solve the optimal orbit transfer problem.