К содержимому
learnspaceYOUR NEXT CHAPTER
ПРОСТРАНСТВО ОБУЧЕНИЯ
ГлавнаяКаталог курсовМоё обучениеCoursera

Знания без границ

Учитесь у лучших университетов и компаний мира.

Открыть Coursera
Интеграция
Пространство университета
Моё пространствоСтраница курса
↵
ЯЛичный кабинетСтудент
© 2026 LearnSpaceКаждый день — возможность узнать больше.Помощь
Kinetics: Studying Spacecraft Motion · LearnSpace
Назад в каталог
courseraИнженерия

Kinetics: Studying Spacecraft Motion

Курс от University of Colorado Boulder
Продвинутый≈ 21.1 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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. The material covered is taking from the book "Analytical Mechanics of Space Systems" available at https://arc.aiaa.org/doi/book/10.2514/4.105210.

Навыки, которые вы освоите

Differential EquationsTorque (Physics)MechanicsPhysicsControl SystemsMathematical ModelingEngineeringApplied MathematicsEngineering AnalysisCalculus

Программа курса

4 модулей · 77 учебных материалов

01Continuous Systems and Rigid Bodies29 материалов

Introduction to the Course and Kinetics Overview

Course Updates and Accessibility SupportЧтениеKinetics: Course IntroductionВидеоModule 1 IntroductionВидеоOverview of KineticsВидео

Continuous Systems

Учитесь у экспертов

Hanspeter Schaub

Glenn L. Murphy Chair in Engineering, Professor

Kinetics: Studying Spacecraft Motion
В каталоге вашей программы

Инвестируйте в себя

Новые знания — в удобное для вас время.

Начать на Coursera

Обучение откроется на Coursera
в новой вкладке

Обучение на Coursera

≈ 21.1 ч

4 модулей

Язык: Английский

Субтитры: Арабский, Французский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

Часть программы вашего университета
1: Continuous System Super Particle TheoremВидео
Concept Check 1 - Super Particle TheoremЗадание
2: Continuous System Kinetic EnergyВидео
Concept Check 2 - Kinetic EnergyЗадание
3: Continuous System Linear MomentumВидео
Concept Check 3 - Linear MomentumЗадание
4: Continuous System Angular MomentumВидео
Concept Check 4 - Angular MomentumЗадание
Optional Review: Continuous Momentum and Energy PropertiesВидео

Rigid Bodies

5: Rigid Body Angular MomentumВидеоConcept Check 5 - Rigid Body Angular MomentumЗадание6: Rigid Body Inertia TensorВидео6.1: Rigid Body Inertia about Alternate PointsВидео6.2: Rigid Body Inertia about Alternate Body AxesВидеоConcept Check 6 - Parallel Axis TheoremЗаданиеConcept Check 6.1 - Coordinate TransformationЗадание7: Rigid Body Kinetic EnergyВидеоConcept Check 7 - Kinetic EnergyЗадание8: Rigid Body Equations of MotionВидео8.1: Integrating Rigid Body Equations of MotionВидео8.2 Example: Slender Rod FallingВидео(Tips for Solving Spring Particle Systems)ВидеоConcept Check 8 - Equations of MotionЗаданиеOptional Review: Rigid Body PropertiesВидеоOptional Review: Rigid Body Equations of MotionВидео
02Torque Free Motion26 материалов

Torque Free Single Rigid Body

Module 2 IntroductionВидео1: Torque Free Motion Polhode PlotsВидео1.1 Example: Special Polhode PlotsВидеоConcept Check 1 - Rigid Body Polhode PlotsЗадание2: Torque Free Motion Axisymmetric SolutionВидеоConcept Check 2 - Torque Free Motion with Axisymmetric BodyЗадание3: Torque Free Motion General Inertia CaseВидеоConcept Check 3 - Torque Free Motion General InertiaЗадание4: Torque Free Motion Integrals of MotionВидеоConcept Check 4 - Torque Free Motion Integrals of MotionЗадание5: Torque Free Motion Phase Space PlotsВидео5 Example: Phase Space Plots for Varying Energy LevelsВидеоConcept Check 5 - Torque Free Motion Phase Space PlotsЗадание6: Torque Free Motion Attitude PrecessionВидео6 Example: Phase Space Plot of Duffing EquationВидеоConcept Check 6 - Torque Free Motion PrecessionЗаданиеOptional Review: Torque Free MotionВидео

Torque Free Dual Spinners

7: Dual Spinner Equations of MotionВидеоConcept Check 7 - Dual Spinner Equations of MotionЗадание8: Dual Spinner Spin EquilibriaВидеоConcept Check 8 - Dual Spinner EquilibriaЗадание9: Dual Spinner Linear StabilityВидео9 Example: Dual Spinner StabilityВидео
03Gravity Gradients10 материалов

Gravity Gradients

Module 3 IntroductionВидео1: Gravity Gradient Torque DevelopmentВидео1.1: Gravity Gradient Torque in Body FrameВидео1.2: Gravity Gradient Net Spacecraft ForceВидеоConcept Check 1 - Gravity Gradient DerivationЗадание2: Gravity Gradient Relative Equilibria OrientationsВидеоConcept Check 2 - Gravity Gradient EquilibriaЗадание3: Gravity Gradient Linear Stability about EquilibriaВидеоConcept Check 3 - Gravity Gradient Linear StabilityЗаданиеExtra Example: Gravity Gradient Polar Pear MissionВидео
04Equations of Motion with Momentum Exchange Devices12 материалов

Momentum Exchange Devices

Module 4 IntroductionВидео1: Introduction to Momentum Exchange DevicesВидео1.2: Overview of Momentum Control DevicesВидеоConcept Check 1 - Overview of Momentum Exchange DevicesЗадание2: VSCMG Equations of Motion DevelopmentВидеоConcept Check 2 - VSCMG Equations of MotionЗадание3: VSCMG Motor Torque EquationsВидеоConcept Check 3 - VSCMG Motor Torque EquationsЗадание4: VSCMG EOM VariationsВидеоConcept Check 4 - VSCMG EOM VariationsЗаданиеOptional Review of Momentum Exchange DevicesВидео

Kinetics Final Peer-Graded Assignment

Kinetics Final AssignmentВзаимная проверка
9.1: Spin Up ConsiderationsВидео
Concept Check 9 - Dual Spinner Linear StabilityЗадание
Optional Review: Dual Spinner EOM and EquilibriaВидео