About this Course

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Advanced Level
Approx. 28 hours to complete
English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Advanced Level
Approx. 28 hours to complete
English

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University of Colorado Boulder

Syllabus - What you will learn from this course

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Week
1

Week 1

5 hours to complete

Introduction to Kinematics

5 hours to complete
13 videos (Total 154 min)
13 videos
Kinematics Course Introduction1m
Module One: Particle Kinematics Introduction50s
1: Particle Kinematics13m
Optional Review: Vectors, Angular Velocities, Coordinate Frames16m
2: Angular Velocity Vector9m
3: Vector Differentiation25m
3.1: Examples of Vector Differentiation25m
3.2: Example of Planar Particle Kinematics with the Transport Theorem16m
3.3: Example of 3D Particle Kinematics with the Transport Theorem14m
Optional Review: Angular Velocities, Coordinate Frames, and Vector Differentiation19m
Optional Review: Angular Velocity Derivative1m
Optional Review: Time Derivatives of Vectors, Matrix Representations of Vector2m
3 practice exercises
Concept Check 1 - Particle Kinematics and Vector Frames30m
Concept Check 2 - Angular Velocities30m
Concept Check 3 - Vector Differentiation and the Transport Theorem1h 5m
Week
2

Week 2

9 hours to complete

Rigid Body Kinematics I

9 hours to complete
18 videos (Total 210 min), 1 reading, 10 quizzes
18 videos
1: Introduction to Rigid Body Kinematics18m
2: Directional Cosine Matrices: Definitions18m
3: DCM Properties7m
4: DCM Addition and Subtraction5m
5: DCM Differential Kinematic Equations8m
Optional Review: Tilde Matrix Properties2m
Optional Review: Rigid Body Kinematics and DCMs21m
6: Euler Angle Definition17m
7: Euler Angle / DCM Relation16m
7.1: Example: Topographic Frame DCM Development9m
8: Euler Angle Addition and Subtraction8m
9: Euler Angle Differential Kinematic Equations25m
10: Symmetric Euler Angle Addition20m
Optional Review: Euler Angle Definitions4m
Optional Review: Euler Angle Mapping to DCMs9m
Optional Review: Euler Angle Differential Kinematic Equations1m
Optional Review: Integrating Differential Kinematic Equations10m
1 reading
Eigenvector Review10m
10 practice exercises
Concept Check 1 - Rigid Body Kinematics30m
Concept Check 2 - DCM Definitions30m
Concept Check 3 - DCM Properties30m
Concept Check 4 - DCM Addition and Subtraction30m
Concept Check 5 - DCM Differential Kinematic Equations (ODE)30m
Concept Check 6 - Euler Angles Definitions30m
Concept Check 7 - Euler Angle and DCM Relation30m
Concept Check 8 - Euler Angle Addition and Subtraction10m
Concept Check 9 - Euler Angle Differential Kinematic Equations45m
Concept Check 10 - Symmetric Euler Angle Addition30m
Week
3

Week 3

10 hours to complete

Rigid Body Kinematics II

10 hours to complete
29 videos (Total 251 min)
29 videos
1: Principal Rotation Parameter Definition9m
2: PRV Relation to DCM18m
3: PRV Properties6m
Optional Review: Principal Rotation Parameters6m
4: Euler Parameter (Quaternion) Definition20m
5: Mapping PRV to EPs1m
6: EP Relationship to DCM16m
7: Euler Parameter Addition10m
8: EP Differential Kinematic Equations5m
Optional Review: Euler Parameters and Quaternions16m
9: Classical Rodrigues Parameters Definitions8m
10: CRP Stereographic Projection9m
11: CRP Relation to DCM8m
12: CRP Addition and Subtraction1m
13: CRP Differential Kinematic Equations1m
14: CRPs through Cayley Transform9m
Optional Review: CRP Properties6m
15: Modified Rodrigues Parameters Definitions9m
16: MRP Stereographic Projection5m
17: MRP Shadow Set Property7m
18: MRP to DCM Relation4m
19: MRP Addition and Subtraction4m
20: MRP Differential Kinematic Equation14m
21: MRP Form of the Cayley Transform7m
Optional Review: MRP Definitions8m
Optional Review: MRP Properties8m
22: Stereographic Orientation Parameters Definitions6m
Optional Review: SOPs14m
17 practice exercises
Concept Check 1 - Principal Rotation Definitions30m
Concept Check 2 - Principal Rotation Parameter relation to DCM30m
Concept Check 3 - Principal Rotation Addition12m
Concept Check 4 - Euler Parameter Definitions15m
Concept Check 5, 6 - Euler Parameter Relationship to DCM15m
Concept Check 7 - Euler Parameter Addition10m
Concept Check 8 - EP Differential Kinematic Equations20m
Concept Check 9 - CRP Definitions30m
Concept Check 10 - CRPs Stereographic Projection30m
Concept Check 11, 12 - CRP Addition12m
Concept Check 13 - CRP Differential Kinematic Equations20m
Concept Check 15 - MRPs Definitions30m
Concept Check 16 - MRP Stereographic Projection5m
Concept Check 17 - MRP Shadow Set30m
Concept Check 18 - MRP to DCM Relation8m
Concept Check 19 - MRP Addition and Subtraction10m
Concept Check 20 - MRP Differential Kinematic Equation30m
Week
4

Week 4

5 hours to complete

Static Attitude Determination

5 hours to complete
13 videos (Total 120 min)
13 videos
1: Attitude Determination Problem Statement17m
2: TRIAD Method Definition11m
2.1: TRIAD Method Numerical Example9m
3: Wahba's Problem Definition11m
4: Devenport's q-Method16m
4.1: Example of Devenport's q-Method7m
5: QUEST9m
5.1: Example of QUEST3m
6: Optimal Linear Attitude Estimator5m
6.1: Example of OLAE2m
Optional Review: Attitude Determination14m
Optional Review: Attitude Estimation Algorithms10m
5 practice exercises
Concept Check 1 - Attitude Determination30m
Concept Check 2 - TRIAD Method10m
Concept Check 3, 4 - Devenport's q-Method15m
Concept Check 5 - QUEST Method15m
Concept Check 6 - OLAE Method12m

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