The NASA DART and ESA Hera missions to binary asteroid 65803 Didymos have generated a lot of interest in the study of spacecraft dynamics in the vicinity of binary asteroids. The combination of the effect of the irregular shape and the rotation of the primary bodies makes them not only non-linear, but also non-autonomous systems. This study uses a technique to design reference trajectories in the context of a mission to a binary asteroid system using a fourth-order gravitational potential model for the two primary bodies. The rotation of the primary bodies, their elliptical mutual motion and the solar radiation pressure are also considered in the model, which makes this study unique. It then compares the control effort required when these reference trajectories are used with that required when reference trajectories are built with simpler models. The goal is to examine how the choice of the model used to compute reference trajectories influences the control effort required to keep the spacecraft close to them.

NASA DART和ESA Hera对二元小行星65803 Didymos的任务引起了对二元小行星附近航天器动力学研究的浓厚兴趣。不规则形状的影响和基体旋转的结合不仅使它们成为非线性系统，而且使它们成为非自治系统。这项研究使用一种技术，在对二元小行星系统执行任务的情况下，使用两个主要物体的四阶重力势能模型来设计参考轨迹。在模型中还考虑了基体的旋转，它们的椭圆相互运动和太阳辐射压力，这使这项研究独树一帜。然后，将使用这些参考轨迹时所需的控制工作量与使用更简单的模型构建参考轨迹时所需的控制工作量进行比较。