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自分のスケジュールですぐに学習を始めてください。

柔軟性のある期限

スケジュールに従って期限をリセットします。

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約24時間で修了

推奨:Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week....

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シラバス - 本コースの学習内容

1
5時間で修了

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.

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19件のビデオ (合計158分), 9 quizzes
19件のビデオ
Module 1 Introduction53
Overview of Kinetics2 分
1: Continuous System Super Particle Theorem13 分
2: Continuous System Kinetic Energy9 分
3: Continuous System Linear Momentum2 分
4: Continuous System Angular Momentum7 分
Optional Review: Continuous Momentum and Energy Properties19 分
5: Rigid Body Angular Momentum6 分
6: Rigid Body Inertia Tensor3 分
6.1: Rigid Body Inertia about Alternate Points3 分
6.2: Rigid Body Inertia about Alternate Body Axes6 分
7: Rigid Body Kinetic Energy6 分
8: Rigid Body Equations of Motion13 分
8.1: Integrating Rigid Body Equations of Motion1 分
8.2 Example: Slender Rod Falling19 分
(Tips for Solving Spring Particle Systems)5 分
Optional Review: Rigid Body Properties14 分
Optional Review: Rigid Body Equations of Motion19 分
9の練習問題
Concept Check 1 - Super Particle Theorem6 分
Concept Check 2 - Kinetic Energy40 分
Concept Check 3 - Linear Momentum5 分
Concept Check 4 - Angular Momentum5 分
Concept Check 5 - Rigid Body Angular Momentum10 分
Concept Check 6 - Parallel Axis Theorem6 分
Concept Check 6.1 - Coordinate Transformation8 分
Concept Check 7 - Kinetic Energy8 分
Concept Check 8 - Equations of Motion40 分
2
5時間で修了

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.

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17件のビデオ (合計166分), 9 quizzes
17件のビデオ
1: Torque Free Motion Polhode Plots33 分
1.1 Example: Special Polhode Plots3 分
2: Torque Free Motion Axisymmetric Solution5 分
3: Torque Free Motion General Inertia Case14 分
4: Torque Free Motion Integrals of Motion6 分
5: Torque Free Motion Phase Space Plots9 分
5 Example: Phase Space Plots for Varying Energy Levels4 分
6: Torque Free Motion Attitude Precession11 分
6 Example: Phase Space Plot of Duffing Equation4 分
Optional Review: Torque Free Motion10 分
7: Dual Spinner Equations of Motion11 分
8: Dual Spinner Spin Equilibria7 分
9: Dual Spinner Linear Stability11 分
9 Example: Dual Spinner Stability10 分
9.1: Spin Up Considerations13 分
Optional Review: Dual Spinner EOM and Equilibria7 分
9の練習問題
Concept Check 1 - Rigid Body Polhode Plots18 分
Concept Check 2 - Torque Free Motion with Axisymmetric Body4 分
Concept Check 3 - Torque Free Motion General Inertia1 時間 10 分
Concept Check 4 - Torque Free Motion Integrals of Motion2 分
Concept Check 5 - Torque Free Motion Phase Space Plots2 分
Concept Check 6 - Torque Free Motion Precession15 分
Concept Check 7 - Dual Spinner Equations of Motion15 分
Concept Check 8 - Dual Spinner Equilibria6 分
Concept Check 9 - Dual Spinner Linear Stability25 分
3
2時間で修了

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.

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7件のビデオ (合計77分), 3 quizzes
7件のビデオ
1: Gravity Gradient Torque Development19 分
1.1: Gravity Gradient Torque in Body Frame7 分
1.2: Gravity Gradient Net Spacecraft Force9 分
2: Gravity Gradient Relative Equilibria Orientations10 分
3: Gravity Gradient Linear Stability about Equilibria22 分
Extra Example: Gravity Gradient Polar Pear Mission5 分
3の練習問題
Concept Check 1 - Gravity Gradient Derivation15 分
Concept Check 2 - Gravity Gradient Equilibria6 分
Concept Check 3 - Gravity Gradient Linear Stability2 分
4
5時間で修了

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).

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7件のビデオ (合計95分), 5 quizzes
7件のビデオ
1: Introduction to Momentum Exchange Devices2 分
1.2: Overview of Momentum Control Devices16 分
2: VSCMG Equations of Motion Development41 分
3: VSCMG Motor Torque Equations8 分
4: VSCMG EOM Variations9 分
Optional Review of Momentum Exchange Devices15 分
4の練習問題
Concept Check 1 - Overview of Momentum Exchange Devices14 分
Concept Check 2 - VSCMG Equations of Motion1 時間
Concept Check 3 - VSCMG Motor Torque Equations6 分
Concept Check 4 - VSCMG EOM Variations6 分
4.8
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Kinetics: Studying Spacecraft Motion からの人気レビュー

by NBFeb 26th 2019

excellent course content with knowledgeable professor. Challenging to learn and focused on both analytical theory and practical example.

講師

Avatar

Hanspeter Schaub

Glenn L. Murphy Chair of Engineering, Professor
Department of Aerospace Engineering Sciences

コロラド大学ボルダー校(University of Colorado Boulder)について

CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies....

Spacecraft Dynamics and Controlの専門講座について

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....
Spacecraft Dynamics and Control

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