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.
Этот курс входит в специализацию ''Специализация Spacecraft Dynamics and Control'
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Специализация Spacecraft Dynamics and ControlКолорадский университет в БоулдереОб этом курсе
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Субтитры: Французский, Португальский (Европа), Русский, Английский, Испанский
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Курс 2 из 4 в программе
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Продвинутый уровень
Прибл. 21 час на выполнение
Английский
Субтитры: Французский, Португальский (Европа), Русский, Английский, Испанский
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Колорадский университет в Боулдере
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.
Программа курса: что вы изучите
6 ч. на завершение
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.
6 ч. на завершение
19 видео ((всего 158 мин.))
19 видео
Module 1 Introduction53
Overview of Kinetics2мин
1: Continuous System Super Particle Theorem13мин
2: Continuous System Kinetic Energy9мин
3: Continuous System Linear Momentum2мин
4: Continuous System Angular Momentum7мин
Optional Review: Continuous Momentum and Energy Properties19мин
5: Rigid Body Angular Momentum6мин
6: Rigid Body Inertia Tensor3мин
6.1: Rigid Body Inertia about Alternate Points3мин
6.2: Rigid Body Inertia about Alternate Body Axes6мин
7: Rigid Body Kinetic Energy6мин
8: Rigid Body Equations of Motion13мин
8.1: Integrating Rigid Body Equations of Motion1мин
8.2 Example: Slender Rod Falling19мин
(Tips for Solving Spring Particle Systems)5мин
Optional Review: Rigid Body Properties14мин
Optional Review: Rigid Body Equations of Motion19мин
9 практических упражнений
Concept Check 1 - Super Particle Theorem30мин
Concept Check 2 - Kinetic Energy40мин
Concept Check 3 - Linear Momentum5мин
Concept Check 4 - Angular Momentum5мин
Concept Check 5 - Rigid Body Angular Momentum10мин
Concept Check 6 - Parallel Axis Theorem6мин
Concept Check 6.1 - Coordinate Transformation30мин
Concept Check 7 - Kinetic Energy8мин
Concept Check 8 - Equations of Motion40мин
7 ч. на завершение
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.
7 ч. на завершение
17 видео ((всего 166 мин.))
17 видео
1: Torque Free Motion Polhode Plots33мин
1.1 Example: Special Polhode Plots3мин
2: Torque Free Motion Axisymmetric Solution5мин
3: Torque Free Motion General Inertia Case14мин
4: Torque Free Motion Integrals of Motion6мин
5: Torque Free Motion Phase Space Plots9мин
5 Example: Phase Space Plots for Varying Energy Levels4мин
6: Torque Free Motion Attitude Precession11мин
6 Example: Phase Space Plot of Duffing Equation4мин
Optional Review: Torque Free Motion10мин
7: Dual Spinner Equations of Motion11мин
8: Dual Spinner Spin Equilibria7мин
9: Dual Spinner Linear Stability11мин
9 Example: Dual Spinner Stability10мин
9.1: Spin Up Considerations13мин
Optional Review: Dual Spinner EOM and Equilibria7мин
9 практических упражнений
Concept Check 1 - Rigid Body Polhode Plots30мин
Concept Check 2 - Torque Free Motion with Axisymmetric Body30мин
Concept Check 3 - Torque Free Motion General Inertia1ч 10мин
Concept Check 4 - Torque Free Motion Integrals of Motion30мин
Concept Check 5 - Torque Free Motion Phase Space Plots30мин
Concept Check 6 - Torque Free Motion Precession15мин
Concept Check 7 - Dual Spinner Equations of Motion15мин
Concept Check 8 - Dual Spinner Equilibria30мин
Concept Check 9 - Dual Spinner Linear Stability25мин
2 ч. на завершение
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.
2 ч. на завершение
7 видео ((всего 77 мин.))
7 видео
1: Gravity Gradient Torque Development19мин
1.1: Gravity Gradient Torque in Body Frame7мин
1.2: Gravity Gradient Net Spacecraft Force9мин
2: Gravity Gradient Relative Equilibria Orientations10мин
3: Gravity Gradient Linear Stability about Equilibria22мин
Extra Example: Gravity Gradient Polar Pear Mission5мин
3 практических упражнения
Concept Check 1 - Gravity Gradient Derivation15мин
Concept Check 2 - Gravity Gradient Equilibria6мин
Concept Check 3 - Gravity Gradient Linear Stability30мин
6 ч. на завершение
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).
6 ч. на завершение
7 видео ((всего 95 мин.))
7 видео
1: Introduction to Momentum Exchange Devices2мин
1.2: Overview of Momentum Control Devices16мин
2: VSCMG Equations of Motion Development41мин
3: VSCMG Motor Torque Equations8мин
4: VSCMG EOM Variations9мин
Optional Review of Momentum Exchange Devices15мин
4 практических упражнения
Concept Check 1 - Overview of Momentum Exchange Devices30мин
Concept Check 2 - VSCMG Equations of Motion1ч
Concept Check 3 - VSCMG Motor Torque Equations30мин
Concept Check 4 - VSCMG EOM Variations30мин
Рецензии
Лучшие отзывы о курсе KINETICS: STUDYING SPACECRAFT MOTION
от партнера RS16 авг. 2020 г.
Great teacher, great course. I recommend studying with the book since it's not an easy topic. The first course was a bit better since there were more programming exercises to train.
от партнера JP22 сент. 2020 г.
A good course to understand concept and practical evaluation process to useit on field.
от партнера H20 июля 2020 г.
It's hard, but you learn a lot. Mr Schaub is great teacher.
от партнера MK28 авг. 2020 г.
great lectures highly recommended for space enthusiasts
Специализация Spacecraft Dynamics and Control: общие сведения
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.
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