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OPTIMAL CONTROL OF A CONSTELLATION OF TWO SUN-SYNCHRONOUS MARTIAN ORBITERS

机译:两个太阳同步马氏体轨道的最优控制

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In the paper, the optimal control analysis for a notional constellation consisting of two Sun-synchronous Martianorbiters(Orb-A and Orb-B) is described that can provide consistent illumination and efficient coverage. Theperturbations due to the gravitational force from Sun, Jupiter and the non-spherical gravity field of the Mars areutilized to establish a framework for deriving the motion equations of the spacecraft. A nonlinear model is developedthat describes the dynamics of the system and the model is converted into a linear-like structure. Controlaccelerations are calculated to maintain the spacecraft in the constant orbit by employing an optimal nonlinearcontrol approach, known as the State Dependent Algebraic Riccati Equation i.e. the SDRE technique. Numericalresults are presented and analyzed. The same optics camera is loaded in Orb-A and Orb-B that provides efficientimaging for mapping. A typical application is demonstrated using the constellation consisting of the Orb-A and Orb-B in the similar orbit that provides the maximum coverage and at the same time provides minimum revisit time. Thecoverage request is given and the simulation is initialized with the Orb-A and Orb-B orbiting the Mars with its initialconditions. Simulation results are given for the different ground points and area targets. An interesting applicationscheme is discussed at the end of the constellation lifetime. Orb-A is controlled to land on the desired Martianground and Orb-B is manoeuvred into a special orbit with daily repeating ground traces. Then the Orb-A landingpoint is visited by Orb-B that repeats at the same time every solar day. The daily repeating ground traces of the Orb-B in the Sun-synchronous orbit are shown.
机译:在本文中,由两个太阳同步火星组成的概念星座的最优控制分析 描述了可以提供一致的照明和有效覆盖的轨道器(Orb-A和Orb-B)。这 太阳,木星的引力和火星非球面重力场引起的摄动是 用来建立一个推导航天器运动方程的框架。建立了非线性模型 描述了系统的动力学,模型被转换成线性结构。控制 通过采用最佳非线性来计算加速度,以使航天器保持在恒定轨道上 控制方法,称为状态相关代数Riccati方程,即SDRE技术。数值型 结果进行了介绍和分析。 Orb-A和Orb-B中装有相同的光学相机,可提供高效的 成像进行映射。使用Orb-A和Orb-组成的星座图展示了一个典型的应用 在类似轨道上的B提供最大的覆盖范围,同时又提供最小的重访时间。这 给出了覆盖范围请求,并使用Orb-A和Orb-B以其初始位置环绕火星的轨道进行了初始化 情况。针对不同的地面点和区域目标给出了仿真结果。一个有趣的应用 在星座寿命结束时讨论该方案。控制Orb-A降落在所需的火星上 地面,然后将Orb-B操纵成具有每天重复的地面痕迹的特殊轨道。然后Orb-A降落 Orb-B会访问该点,每个太阳日都会在同一时间重复该点。 Orb-的每日重复地面痕迹 显示了太阳同步轨道中的B。

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