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.
本课程是 Spacecraft Dynamics and Control 专项课程 专项课程的一部分
Kinetics: Studying Spacecraft Motion
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第 2 门课程（共 4 门）
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完成时间大约为26 小时
建议：Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week.
英语（English）
字幕：英语（English）
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完成时间为 5 小时
Continuous Systems and Rigid Bodies
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.
完成时间为 5 小时
19 个视频 （总计 158 分钟）
19 个视频
Module 1 Introduction53
Overview of Kinetics2分钟
1: Continuous System Super Particle Theorem13分钟
2: Continuous System Kinetic Energy9分钟
3: Continuous System Linear Momentum2分钟
4: Continuous System Angular Momentum7分钟
Optional Review: Continuous Momentum and Energy Properties19分钟
5: Rigid Body Angular Momentum6分钟
6: Rigid Body Inertia Tensor3分钟
6.1: Rigid Body Inertia about Alternate Points3分钟
6.2: Rigid Body Inertia about Alternate Body Axes6分钟
7: Rigid Body Kinetic Energy6分钟
8: Rigid Body Equations of Motion13分钟
8.1: Integrating Rigid Body Equations of Motion1分钟
8.2 Example: Slender Rod Falling19分钟
(Tips for Solving Spring Particle Systems)5分钟
Optional Review: Rigid Body Properties14分钟
Optional Review: Rigid Body Equations of Motion19分钟
9 个练习
Concept Check 1 - Super Particle Theorem6分钟
Concept Check 2 - Kinetic Energy40分钟
Concept Check 3 - Linear Momentum5分钟
Concept Check 4 - Angular Momentum5分钟
Concept Check 5 - Rigid Body Angular Momentum10分钟
Concept Check 6 - Parallel Axis Theorem6分钟
Concept Check 6.1 - Coordinate Transformation8分钟
Concept Check 7 - Kinetic Energy8分钟
Concept Check 8 - Equations of Motion40分钟
完成时间为 5 小时
Torque Free Motion
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.
完成时间为 5 小时
17 个视频 （总计 166 分钟）
17 个视频
1: Torque Free Motion Polhode Plots33分钟
1.1 Example: Special Polhode Plots3分钟
2: Torque Free Motion Axisymmetric Solution5分钟
3: Torque Free Motion General Inertia Case14分钟
4: Torque Free Motion Integrals of Motion6分钟
5: Torque Free Motion Phase Space Plots9分钟
5 Example: Phase Space Plots for Varying Energy Levels4分钟
6: Torque Free Motion Attitude Precession11分钟
6 Example: Phase Space Plot of Duffing Equation4分钟
Optional Review: Torque Free Motion10分钟
7: Dual Spinner Equations of Motion11分钟
8: Dual Spinner Spin Equilibria7分钟
9: Dual Spinner Linear Stability11分钟
9 Example: Dual Spinner Stability10分钟
9.1: Spin Up Considerations13分钟
Optional Review: Dual Spinner EOM and Equilibria7分钟
9 个练习
Concept Check 1 - Rigid Body Polhode Plots18分钟
Concept Check 2 - Torque Free Motion with Axisymmetric Body4分钟
Concept Check 3 - Torque Free Motion General Inertia1 小时 10 分
Concept Check 4 - Torque Free Motion Integrals of Motion2分钟
Concept Check 5 - Torque Free Motion Phase Space Plots2分钟
Concept Check 6 - Torque Free Motion Precession15分钟
Concept Check 7 - Dual Spinner Equations of Motion15分钟
Concept Check 8 - Dual Spinner Equilibria6分钟
Concept Check 9 - Dual Spinner Linear Stability25分钟
完成时间为 2 小时
Gravity Gradients
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.
完成时间为 2 小时
7 个视频 （总计 77 分钟）
7 个视频
1: Gravity Gradient Torque Development19分钟
1.1: Gravity Gradient Torque in Body Frame7分钟
1.2: Gravity Gradient Net Spacecraft Force9分钟
2: Gravity Gradient Relative Equilibria Orientations10分钟
3: Gravity Gradient Linear Stability about Equilibria22分钟
Extra Example: Gravity Gradient Polar Pear Mission5分钟
3 个练习
Concept Check 1 - Gravity Gradient Derivation15分钟
Concept Check 2 - Gravity Gradient Equilibria6分钟
Concept Check 3 - Gravity Gradient Linear Stability2分钟
完成时间为 5 小时
Equations of Motion with Momentum Exchange Devices
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).
完成时间为 5 小时
7 个视频 （总计 95 分钟）
7 个视频
1: Introduction to Momentum Exchange Devices2分钟
1.2: Overview of Momentum Control Devices16分钟
2: VSCMG Equations of Motion Development41分钟
3: VSCMG Motor Torque Equations8分钟
4: VSCMG EOM Variations9分钟
Optional Review of Momentum Exchange Devices15分钟
4 个练习
Concept Check 1 - Overview of Momentum Exchange Devices14分钟
Concept Check 2 - VSCMG Equations of Motion1小时
Concept Check 3 - VSCMG Motor Torque Equations6分钟
Concept Check 4 - VSCMG EOM Variations6分钟
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科罗拉多大学波德分校
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关于 Spacecraft Dynamics and Control 专项课程
Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications.
The goal of the specialization is to introduce the theories related to spacecraft dynamics and control. This includes the three-dimensional description of orientation, creating the dynamical rotation models, as well as the feedback control development to achieve desired attitude trajectories.
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