University of Colorado Boulder - Kinematics: Describing the Motions of Spacecraft
- Offered byCoursera
- Public/Government Institute
Kinematics: Describing the Motions of Spacecraft at Coursera Overview
Duration | 28 hours |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Advanced |
Official Website | Explore Free Course  |
Credential | Certificate |
Kinematics: Describing the Motions of Spacecraft at Coursera Highlights
- This Course Plus the Full Specialization.
- Shareable Certificates.
- Graded Programming Assignments.
Kinematics: Describing the Motions of Spacecraft at Coursera Course details
- The movement of bodies in space (like spacecraft, satellites, and space stations) must be predicted and controlled with precision in order to ensure safety and efficacy. Kinematics is a field that develops descriptions and predictions of the motion of these bodies in 3D space. This course in Kinematics covers four major topic areas: an introduction to particle kinematics, a deep dive into rigid body kinematics in two parts (starting with classic descriptions of motion using the directional cosine matrix and Euler angles, and concluding with a review of modern descriptors like quaternions and Classical and Modified Rodrigues parameters). The course ends with a look at static attitude determination, using modern algorithms to predict and execute relative orientations of bodies in space.
- After this course, you will be able to...
- * Differentiate a vector as seen by another rotating frame and derive frame dependent velocity and acceleration vectors
- * Apply the Transport Theorem to solve kinematic particle problems and translate between various sets of attitude descriptions
- * Add and subtract relative attitude descriptions and integrate those descriptions numerically to predict orientations over time
- * Derive the fundamental attitude coordinate properties of rigid bodies and determine attitude from a series of heading measurements
Kinematics: Describing the Motions of Spacecraft at Coursera Curriculum
Introduction to Kinematics
Professor Introduction
Kinematics Course Introduction
Module One: Particle Kinematics Introduction
1: Particle Kinematics
Optional Review: Vectors, Angular Velocities, Coordinate Frames
2: Angular Velocity Vector
3: Vector Differentiation
3.1: Examples of Vector Differentiation
3.2: Example of Planar Particle Kinematics with the Transport Theorem
3.3: Example of 3D Particle Kinematics with the Transport Theorem
Optional Review: Angular Velocities, Coordinate Frames, and Vector Differentiation
Optional Review: Angular Velocity Derivative
Optional Review: Time Derivatives of Vectors, Matrix Representations of Vector
Concept Check 1 - Particle Kinematics and Vector Frames
Concept Check 2 - Angular Velocities
Concept Check 3 - Vector Differentiation and the Transport Theorem
Rigid Body Kinematics I
Module Two: Rigid Body Kinematics Part 1 Introduction
1: Introduction to Rigid Body Kinematics
2: Directional Cosine Matrices: Definitions
3: DCM Properties
4: DCM Addition and Subtraction
5: DCM Differential Kinematic Equations
Optional Review: Tilde Matrix Properties
Optional Review: Rigid Body Kinematics and DCMs
6: Euler Angle Definition
7: Euler Angle / DCM Relation
7.1: Example: Topographic Frame DCM Development
8: Euler Angle Addition and Subtraction
9: Euler Angle Differential Kinematic Equations
10: Symmetric Euler Angle Addition
Optional Review: Euler Angle Definitions
Optional Review: Euler Angle Mapping to DCMs
Optional Review: Euler Angle Differential Kinematic Equations
Optional Review: Integrating Differential Kinematic Equations
Eigenvector Review
Concept Check 1 - Rigid Body Kinematics
Concept Check 2 - DCM Definitions
Concept Check 3 - DCM Properties
Concept Check 4 - DCM Addition and Subtraction
Concept Check 5 - DCM Differential Kinematic Equations (ODE)
Concept Check 6 - Euler Angles Definitions
Concept Check 7 - Euler Angle and DCM Relation
Concept Check 8 - Euler Angle Addition and Subtraction
Concept Check 9 - Euler Angle Differential Kinematic Equations
Concept Check 10 - Symmetric Euler Angle Addition
Rigid Body Kinematics II
Module Three: Rigid Body Kinematics Part 2 Introduction
1: Principal Rotation Parameter Definition
2: PRV Relation to DCM
3: PRV Properties
Optional Review: Principal Rotation Parameters
4: Euler Parameter (Quaternion) Definition
5: Mapping PRV to EPs
6: EP Relationship to DCM
7: Euler Parameter Addition
8: EP Differential Kinematic Equations
Optional Review: Euler Parameters and Quaternions
9: Classical Rodrigues Parameters Definitions
10: CRP Stereographic Projection
11: CRP Relation to DCM
12: CRP Addition and Subtraction
13: CRP Differential Kinematic Equations
14: CRPs through Cayley Transform
Optional Review: CRP Properties
15: Modified Rodrigues Parameters Definitions
16: MRP Stereographic Projection
17: MRP Shadow Set Property
18: MRP to DCM Relation
19: MRP Addition and Subtraction
20: MRP Differential Kinematic Equation
21: MRP Form of the Cayley Transform
Optional Review: MRP Definitions
Optional Review: MRP Properties
22: Stereographic Orientation Parameters Definitions
Optional Review: SOPs
Concept Check 1 - Principal Rotation Definitions
Concept Check 2 - Principal Rotation Parameter relation to DCM
Concept Check 3 - Principal Rotation Addition
Concept Check 4 - Euler Parameter Definitions
Concept Check 5, 6 - Euler Parameter Relationship to DCM
Concept Check 7 - Euler Parameter Addition
Concept Check 8 - EP Differential Kinematic Equations
Concept Check 9 - CRP Definitions
Concept Check 10 - CRPs Stereographic Projection
Concept Check 11, 12 - CRP Addition
Concept Check 13 - CRP Differential Kinematic Equations
Concept Check 15 - MRPs Definitions
Concept Check 16 - MRP Stereographic Projection
Concept Check 17 - MRP Shadow Set
Concept Check 18 - MRP to DCM Relation
Concept Check 19 - MRP Addition and Subtraction
Concept Check 20 - MRP Differential Kinematic Equation
Static Attitude Determination
Module Four: Static Attitude Determination Introduction
1: Attitude Determination Problem Statement
2: TRIAD Method Definition
2.1: TRIAD Method Numerical Example
3: Wahba's Problem Definition
4: Devenport's q-Method
4.1: Example of Devenport's q-Method
5: QUEST
5.1: Example of QUEST
6: Optimal Linear Attitude Estimator
6.1: Example of OLAE
Optional Review: Attitude Determination
Optional Review: Attitude Estimation Algorithms
Concept Check 1 - Attitude Determination
Concept Check 2 - TRIAD Method
Concept Check 3, 4 - Devenport's q-Method
Concept Check 5 - QUEST Method
Concept Check 6 - OLAE Method
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