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.
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Programa Especializado - Spacecraft Dynamics and ControlUniversidad de Colorado en BoulderAcerca de este Curso
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Resultados profesionales del estudiante
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Comienza de inmediato y aprende a tu propio ritmo.
Curso 2 de 4 en
Fechas límite flexibles
Restablece las fechas límite en función de tus horarios.
Nivel avanzado
Aprox. 17 horas para completar
Inglés (English)
Subtítulos: Inglés (English)
Resultados profesionales del estudiante
50%
comenzó una nueva carrera después de completar estos cursos
50%
consiguió un beneficio tangible en su carrera profesional gracias a este curso
Certificado para compartir
Obtén un certificado al finalizar
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Curso 2 de 4 en
Fechas límite flexibles
Restablece las fechas límite en función de tus horarios.
Nivel avanzado
Aprox. 17 horas para completar
Inglés (English)
Subtítulos: Inglés (English)
ofrecido por
Universidad de Colorado en Boulder
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.
Programa - Qué aprenderás en este curso
5 horas para completar
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.
5 horas para completar
19 videos (Total 158 minutos)
19 videos
Module 1 Introduction53s
Overview of Kinetics2m
1: Continuous System Super Particle Theorem13m
2: Continuous System Kinetic Energy9m
3: Continuous System Linear Momentum2m
4: Continuous System Angular Momentum7m
Optional Review: Continuous Momentum and Energy Properties19m
5: Rigid Body Angular Momentum6m
6: Rigid Body Inertia Tensor3m
6.1: Rigid Body Inertia about Alternate Points3m
6.2: Rigid Body Inertia about Alternate Body Axes6m
7: Rigid Body Kinetic Energy6m
8: Rigid Body Equations of Motion13m
8.1: Integrating Rigid Body Equations of Motion1m
8.2 Example: Slender Rod Falling19m
(Tips for Solving Spring Particle Systems)5m
Optional Review: Rigid Body Properties14m
Optional Review: Rigid Body Equations of Motion19m
9 ejercicios de práctica
Concept Check 1 - Super Particle Theorem6m
Concept Check 2 - Kinetic Energy40m
Concept Check 3 - Linear Momentum5m
Concept Check 4 - Angular Momentum5m
Concept Check 5 - Rigid Body Angular Momentum10m
Concept Check 6 - Parallel Axis Theorem6m
Concept Check 6.1 - Coordinate Transformation8m
Concept Check 7 - Kinetic Energy8m
Concept Check 8 - Equations of Motion40m
5 horas para completar
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.
5 horas para completar
17 videos (Total 166 minutos)
17 videos
1: Torque Free Motion Polhode Plots33m
1.1 Example: Special Polhode Plots3m
2: Torque Free Motion Axisymmetric Solution5m
3: Torque Free Motion General Inertia Case14m
4: Torque Free Motion Integrals of Motion6m
5: Torque Free Motion Phase Space Plots9m
5 Example: Phase Space Plots for Varying Energy Levels4m
6: Torque Free Motion Attitude Precession11m
6 Example: Phase Space Plot of Duffing Equation4m
Optional Review: Torque Free Motion10m
7: Dual Spinner Equations of Motion11m
8: Dual Spinner Spin Equilibria7m
9: Dual Spinner Linear Stability11m
9 Example: Dual Spinner Stability10m
9.1: Spin Up Considerations13m
Optional Review: Dual Spinner EOM and Equilibria7m
9 ejercicios de práctica
Concept Check 1 - Rigid Body Polhode Plots18m
Concept Check 2 - Torque Free Motion with Axisymmetric Body4m
Concept Check 3 - Torque Free Motion General Inertia1h 10m
Concept Check 4 - Torque Free Motion Integrals of Motion2m
Concept Check 5 - Torque Free Motion Phase Space Plots2m
Concept Check 6 - Torque Free Motion Precession15m
Concept Check 7 - Dual Spinner Equations of Motion15m
Concept Check 8 - Dual Spinner Equilibria6m
Concept Check 9 - Dual Spinner Linear Stability25m
2 horas para completar
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 horas para completar
7 videos (Total 77 minutos)
7 videos
1: Gravity Gradient Torque Development19m
1.1: Gravity Gradient Torque in Body Frame7m
1.2: Gravity Gradient Net Spacecraft Force9m
2: Gravity Gradient Relative Equilibria Orientations10m
3: Gravity Gradient Linear Stability about Equilibria22m
Extra Example: Gravity Gradient Polar Pear Mission5m
3 ejercicios de práctica
Concept Check 1 - Gravity Gradient Derivation15m
Concept Check 2 - Gravity Gradient Equilibria6m
Concept Check 3 - Gravity Gradient Linear Stability2m
5 horas para completar
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).
5 horas para completar
7 videos (Total 95 minutos)
7 videos
1: Introduction to Momentum Exchange Devices2m
1.2: Overview of Momentum Control Devices16m
2: VSCMG Equations of Motion Development41m
3: VSCMG Motor Torque Equations8m
4: VSCMG EOM Variations9m
Optional Review of Momentum Exchange Devices15m
4 ejercicios de práctica
Concept Check 1 - Overview of Momentum Exchange Devices14m
Concept Check 2 - VSCMG Equations of Motion1h
Concept Check 3 - VSCMG Motor Torque Equations6m
Concept Check 4 - VSCMG EOM Variations6m
Revisiones
Principales revisiones sobre KINETICS: STUDYING SPACECRAFT MOTION
por NB25 de feb. de 2019
excellent course content with knowledgeable professor. Challenging to learn and focused on both analytical theory and practical example.
Acerca de Programa especializado: Spacecraft Dynamics and Control
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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