Extracting Orbital Information from the Attitude Control System of a Spacecraft near Small Bodies

D. Messmann, W. Jordaan
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Abstract

Small bodies such as asteroids and comets are becoming more and more exciting destinations. Traditional deep-space missions such as NEAR-Shoemaker or Rosetta require interaction with the ground segment on Earth for successful mission operation. Despite some a-priori information on these objects, little is known about their environment. Autonomous navigation in the vicinity of these bodies can be very challenging. Therefore, increasing the autonomy level is required to enable future deep-space missions. Several previous studies have investigated the problem of autonomous navigation for deep-space missions to small bodies. For instance, a number of simultaneous localization and mapping approaches with various sensors have been discussed and proposed. However, existing works have several assumptions or limitations. Some studies consider missions only to a particular small body or implicitly assume accurate model information. Other concepts suffer from high computational complexity, whose robust performance is not analyzed in detail. Unlike existing approaches, we investigate the feasibility of utilizing the spacecraft's attitude determination and control system (ADCS) to recover its orbital behavior. This idea has the benefit of reusing the existing equipment and algorithms. Using star trackers and gyroscope measurements, we can constrain the attitude and the angular velocity of the spacecraft relative to the celestial reference frame. Euler's equation, describing the rotational dynamics of a spacecraft, also encodes the orbital information. We measure the change in its angular momentum vector relative to the reference to infer the orbital information. While orbiting the small body, the spacecraft may conduct attitude maneuvers to leverage the determination process. The extracted orbital information can aid autonomous navigation. This paper presents the mathematical foundations of the concept and analyzes its feasibility. A number of numerical simulations are conducted in different scenarios. Finally, the robustness is assessed against disturbances and sensor noise.
小天体附近航天器姿态控制系统的轨道信息提取
像小行星和彗星这样的小天体正成为越来越令人兴奋的目的地。传统的深空任务,如NEAR-Shoemaker或Rosetta,需要与地球上的地面部分进行交互,才能成功执行任务。尽管有一些关于这些物体的先验信息,但对它们的环境知之甚少。在这些天体附近进行自主导航是非常具有挑战性的。因此,为了实现未来的深空任务,需要提高自主水平。之前的几项研究调查了小天体深空任务的自主导航问题。例如,已经讨论并提出了许多使用各种传感器的同时定位和映射方法。然而,现有的工作有一些假设或限制。一些研究只考虑对一个特定的小天体的任务,或者隐含地假设准确的模型信息。其他概念的计算复杂度较高,其鲁棒性没有详细分析。与现有方法不同,我们研究了利用航天器姿态确定和控制系统(ADCS)恢复其轨道行为的可行性。这个想法的好处是可以重用现有的设备和算法。利用星跟踪器和陀螺仪测量,我们可以约束航天器相对于天体参照系的姿态和角速度。欧拉方程,描述了航天器的旋转动力学,也编码了轨道信息。我们测量它相对于参照物的角动量矢量的变化来推断轨道信息。在绕小天体轨道运行时,航天器可能会进行姿态机动,以利用确定过程。提取的轨道信息有助于自主导航。本文介绍了这一概念的数学基础,并分析了其可行性。在不同的情况下进行了大量的数值模拟。最后,评估了对干扰和传感器噪声的鲁棒性。
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