Future interplanetary missions will carry more and more sensitive equipment critical for setting up bases for crewed missions. The ability to manoeuvre around hazardous terrain thus becomes a critical mission aspect. However, large diverts and manoeuvres consume a significant amount of fuel, leading to less fuel remaining for emergencies or return missions. Thus, requiring more fuel to be carried onboard. This work presents fuel-optimal guidance to avoid hazardous terrain and safely land at the desired location. We approximate the hazardous terrain as step-shaped polygons and define barriers around the terrain. Using an augmented cost functional, fuel-optimal guidance command, which avoids the terrain, is derived. The results are validated using computer simulations and tested against many initial conditions to prove their effectiveness.

翻译：未来星际任务将携带更多对载人任务基地建立至关重要的敏感设备。因此，在危险地形周围实施机动能力成为任务的关键环节。然而，大范围迂回与机动会消耗大量燃料，导致剩余燃料不足以应对紧急情况或返航任务，从而需要携带更多燃料。本文提出了一种燃料最优制导方法，用于规避危险地形并安全着陆于预定位置。我们将危险地形近似为阶梯状多边形，并在地形周围定义障碍区域。通过引入增广代价函数，推导出能够规避地形的燃料最优制导指令。通过计算机仿真验证结果，并在多种初始条件下进行测试以证明其有效性。