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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/spacecraft-dynamics-kinetics
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课程名称：动力学：研究航天器运动 概述：航天器等物体在太空中翻滚时以动态方式运动。理解和预测描述这种运动的方程对于航天器任务开发的安全性和效率至关重要。《动力学：航天器运动建模》课程将培养您在以下主题的技能：以坐标无关的方式表达刚体角动量和动能、无外部扭矩作用下的单个和双刚体系统的翻滚、如何近似刚体上各个部分的差分重力，以研究姿态和轨道运动的干扰，以及在引入一般动量交换装置时这些系统如何变化。 完成该课程后，您将能够： * 从基本的角动量公式中推导出旋转运动方程，并预测和确定无扭矩运动平衡及其相关稳定性 * 为具有多个旋转组件的刚体发展运动方程，并推导和应用重力梯度扭矩 * 应用双旋转配置的静态稳定性条件，并预测在引入动量交换装置时的变化 * 推导出包含各种动量交换装置的系统的运动方程 请注意：这是一门高级课程，最适合具有大学水平数学和物理知识的工程师或学生。 课程大纲： 1. 课程名称：连续系统和刚体 描述：使用经典的欧拉和牛顿力学发展运动方程，强调以坐标无关方式表达的刚体角动量和动能。该过程从可变形形状（连续系统）开始，然后冻结为刚性物体，并简化相关方程。 2. 课程名称：无扭矩运动 描述：探讨单个或双刚体系统在没有外部扭矩作用下的运动。通过多面图研究大规模翻滚运动，同时探讨轴对称和一般航天器形状的解析速率解。最后，双旋转动态系统展示了如何利用相关的陀螺效应以稳定任一主轴旋转。 3. 课程名称：重力梯度 描述：近似刚体上的差分重力至一阶，研究其如何影响姿态和轨道运动的干扰。推导重力梯度相对平衡条件，并通过线性化分析其稳定性。 4. 课程名称：包含动量交换装置的运动方程 描述：在刚体的运动方程中考虑一般动量交换装置。开发过程开始于研究变速控制动量陀螺 (VSCMG)，然后专门化为经典的单万向控制动量装置 (CMGs) 和反应轮 (RW)。
Name:Continuous Systems and Rigid Bodies
Description:The dynamical equations of motion are developed using classical Eulerian and Newtonian mechanics. Emphasis is placed on rigid body angular momentum and kinetic energy expression that are shown in a coordinate frame agnostic manner. The development begins with deformable shapes (continuous systems) which are then frozen into rigid objects, and the associated equations are thus simplified.
Name:Torque Free Motion
Description:The motion of a single or dual rigid body system is explored when no external torques are acting on it. Large scale tumbling motions are studied through polhode plots, while analytical rate solutions are explored for axi-symmetric and general spacecraft shapes. Finally, the dual-spinner dynamical system illustrates how the associated gyroscopics can be exploited to stabilize any principal axis spin.
Name:Gravity Gradients
Description:The differential gravity across a rigid body is approximated to the first order to study how it disturbs both the attitude and orbital motion. The gravity gradient relative equilibria conditions are derived, whose stability is analyzed through linearization.
Name:Equations of Motion with Momentum Exchange Devices
Description:The equations of motion of a rigid body are developed with general momentum exchange devices included. The development begins with looking at variable speed control moment gyros (VSCMG), which are then specialized to classical single-gimbal control moment devices (CMGs) and reaction wheels (RW).
As they tumble through space, objects like spacecraft move in dynamical ways. Understanding and predicting the equations that represent that motion is critical to the safety and efficacy of spacecraft mission development. Kinetics: Modeling the Motions of Spacecraft trains your skills in topics like rigid body angular momentum and kinetic energy expression shown in a coordinate frame agnostic manner, single and dual rigid body systems tumbling without the forces of external torque, how differential gravity across a rigid body is approximated to the first order to study disturbances in both the attitude and orbital motion, and how these systems change when general momentum exchange devices are introduced. After this course, you will be able to... *Derive from basic angular momentum formulation the rotational equations of motion and predict and determine torque-free motion equilibria and associated stabilities * Develop equations of motion for a rigid body with multiple spinning components and derive and apply the gravity gradient torque * Apply the static stability conditions of a dual-spinner configuration and predict changes as momentum exchange devices are introduced * Derive equations of motion for systems in which various momentum exchange devices are present Please note: this is an advanced course, best suited for working engineers or students with college-level knowledge in mathematics and physics.
