Kinematics: Describing the Motions of Spacecraft

Type product

Kinematics: Describing the Motions of Spacecraft

Coursera (CC)
Logo van Coursera (CC)
Opleiderscore: starstarstarstar_halfstar_border 7,2 Coursera (CC) heeft een gemiddelde beoordeling van 7,2 (uit 6 ervaringen)

Tip: meer info over het programma, prijs, en inschrijven? Download de brochure!

Beschrijving

When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan

  • Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
  • Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.

About this course: 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 …

Lees de volledige beschrijving

Veelgestelde vragen

Er zijn nog geen veelgestelde vragen over dit product. Als je een vraag hebt, neem dan contact op met onze klantenservice.

Nog niet gevonden wat je zocht? Bekijk deze onderwerpen: Angular, Natuurkunde, JavaScript, Programmeren (algemeen) en jQuery.

When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan

  • Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
  • Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.

About this course: 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

Who is this class for: This class is for working engineering professionals looking to add to their skill sets, graduate students in engineering looking to fill gaps in their knowledge base, and enterprising engineering undergraduates looking to expand their horizons.

Created by:  University of Colorado Boulder
  • Taught by:  Hanspeter Schaub, Alfred T. and Betty E. Look Professor of Engineering

    Department of Aerospace Engineering Sciences
Level Advanced Commitment Best completed in 4 weeks, with a commitment of between 3 and 6 hours of work per week. Language English How To Pass Pass all graded assignments to complete the course. User Ratings 5.0 stars Average User Rating 5.0See what learners said Coursework

Each course is like an interactive textbook, featuring pre-recorded videos, quizzes and projects.

Help from your peers

Connect with thousands of other learners and debate ideas, discuss course material, and get help mastering concepts.

Certificates

Earn official recognition for your work, and share your success with friends, colleagues, and employers.

University of Colorado 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.

Syllabus


WEEK 1


Introduction to Kinematics
This module covers particle kinematics. A special emphasis is placed on a frame-independent vectorial notation. The position velocity and acceleration of particles are derived using rotating frames utilizing the transport theorem.


13 videos expand


  1. Video: Professor Introduction
  2. Video: Kinematics Course Introduction
  3. Video: Module One: Particle Kinematics Introduction
  4. Video: 1: Particle Kinematics
  5. Video: Optional Review: Vectors, Angular Velocities, Coordinate Frames
  6. Video: 2: Angular Velocity Vector
  7. Video: 3: Vector Differentiation
  8. Video: 3.1: Examples of Vector Differentiation
  9. Video: 3.2: Example of Planar Particle Kinematics with the Transport Theorem
  10. Video: 3.3: Example of 3D Particle Kinematics with the Transport Theorem
  11. Video: Optional Review: Angular Velocities, Coordinate Frames, and Vector Differentiation
  12. Video: Optional Review: Angular Velocity Derivative
  13. Video: Optional Review: Time Derivatives of Vectors, Matrix Representations of Vector

Graded: Concept Check 1 - Particle Kinematics and Vector Frames
Graded: Concept Check 2 - Angular Velocities
Graded: Concept Check 3 - Vector Differentiation and the Transport Theorem

WEEK 2


Rigid Body Kinematics I



This module provides an overview of orientation descriptions of rigid bodies. The 3D heading is here described using either the direction cosine matrix (DCM) or the Euler angle sets. For each set the fundamental attitude addition and subtracts are discussed, as well as the differential kinematic equation which relates coordinate rates to the body angular velocity vector.


18 videos, 1 reading expand


  1. Video: Module Two: Rigid Body Kinematics Part 1 Introduction
  2. Video: 1: Introduction to Rigid Body Kinematics
  3. Video: 2: Directional Cosine Matrices: Definitions
  4. Reading: Eigenvector Review
  5. Video: 3: DCM Properties
  6. Video: 4: DCM Addition and Subtraction
  7. Video: 5: DCM Differential Kinematic Equations
  8. Video: Optional Review: Tilde Matrix Properties
  9. Video: Optional Review: Rigid Body Kinematics and DCMs
  10. Video: 6: Euler Angle Definition
  11. Video: 7: Euler Angle / DCM Relation
  12. Video: 7.1: Example: Topographic Frame DCM Development
  13. Video: 8: Euler Angle Addition and Subtraction
  14. Video: 9: Euler Angle Differential Kinematic Equations
  15. Video: 10: Symmetric Euler Angle Addition
  16. Video: Optional Review: Euler Angle Definitions
  17. Video: Optional Review: Euler Angle Mapping to DCMs
  18. Video: Optional Review: Euler Angle Differential Kinematic Equations
  19. Video: Optional Review: Integrating Differential Kinematic Equations

Graded: Concept Check 1 - Rigid Body Kinematics
Graded: Concept Check 2 - DCM Definitions
Graded: Concept Check 3 - DCM Properties
Graded: Concept Check 4 - DCM Addition and Subtraction
Graded: Concept Check 5 - DCM Differential Kinematic Equations (ODE)
Graded: Concept Check 6 - Euler Angles Definitions
Graded: Concept Check 7 - Euler Angle and DCM Relation
Graded: Concept Check 8 - Euler Angle Addition and Subtraction
Graded: Concept Check 9 - Euler Angle Differential Kinematic Equations
Graded: Concept Check 10 - Symmetric Euler Angle Addition

WEEK 3


Rigid Body Kinematics II



This module covers modern attitude coordinate sets including Euler Parameters (quaternions), principal rotation parameters, Classical Rodrigues parameters, modified Rodrigues parameters, as well as stereographic orientation parameters. For each set the concepts of attitude addition and subtraction is developed, as well as mappings to other coordinate sets.


29 videos expand


  1. Video: Module Three: Rigid Body Kinematics Part 2 Introduction
  2. Video: 1: Principal Rotation Parameter Definition
  3. Video: 2: PRV Relation to DCM
  4. Video: 3: PRV Properties
  5. Video: Optional Review: Principal Rotation Parameters
  6. Video: 4: Euler Parameter (Quaternion) Definition
  7. Video: 5: Mapping PRV to EPs
  8. Video: 6: EP Relationship to DCM
  9. Video: 7: Euler Parameter Addition
  10. Video: 8: EP Differential Kinematic Equations
  11. Video: Optional Review: Euler Parameters and Quaternions
  12. Video: 9: Classical Rodrigues Parameters Definitions
  13. Video: 10: CRP Stereographic Projection
  14. Video: 11: CRP Relation to DCM
  15. Video: 12: CRP Addition and Subtraction
  16. Video: 13: CRP Differential Kinematic Equations
  17. Video: 14: CRPs through Cayley Transform
  18. Video: Optional Review: CRP Properties
  19. Video: 15: Modified Rodrigues Parameters Definitions
  20. Video: 16: MRP Stereographic Projection
  21. Video: 17: MRP Shadow Set Property
  22. Video: 18: MRP to DCM Relation
  23. Video: 19: MRP Addition and Subtraction
  24. Video: 20: MRP Differential Kinematic Equation
  25. Video: 21: MRP Form of the Cayley Transform
  26. Video: Optional Review: MRP Definitions
  27. Video: Optional Review: MRP Properties
  28. Video: 22: Stereographic Orientation Parameters Definitions
  29. Video: Optional Review: SOPs

Graded: Concept Check 1 - Principal Rotation Definitions
Graded: Concept Check 2 - Principal Rotation Parameter relation to DCM
Graded: Concept Check 3 - Principal Rotation Addition
Graded: Concept Check 4 - Euler Parameter Definitions
Graded: Concept Check 5, 6 - Euler Parameter Relationship to DCM
Graded: Concept Check 7 - Euler Parameter Addition
Graded: Concept Check 8 - EP Differential Kinematic Equations
Graded: Concept Check 9 - CRP Definitions
Graded: Concept Check 10 - CRPs Stereographic Projection
Graded: Concept Check 11, 12 - CRP Addition
Graded: Concept Check 13 - CRP Differential Kinematic Equations
Graded: Concept Check 15 - MRPs Definitions
Graded: Concept Check 16 - MRP Stereographic Projection
Graded: Concept Check 17 - MRP Shadow Set
Graded: Concept Check 18 - MRP to DCM Relation
Graded: Concept Check 19 - MRP Addition and Subtraction
Graded: Concept Check 20 - MRP Differential Kinematic Equation

WEEK 4


Static Attitude Determination



This module covers how to take an instantaneous set of observations (sun heading, magnetic field direction, star direction, etc.) and compute a corresponding 3D attitude measure. The attitude determination methods covered include the TRIAD method, Devenport's q-method, QUEST as well as OLAE. The benefits and computation challenges are reviewed for each algorithm.


13 videos expand


  1. Video: Module Four: Static Attitude Determination Introduction
  2. Video: 1: Attitude Determination Problem Statement
  3. Video: 2: TRIAD Method Definition
  4. Video: 2.1: TRIAD Method Numerical Example
  5. Video: 3: Wahba's Problem Definition
  6. Video: 4: Devenport's q-Method
  7. Video: 4.1: Example of Devenport's q-Method
  8. Video: 5: QUEST
  9. Video: 5.1: Example of QUEST
  10. Video: 6: Optimal Linear Attitude Estimator
  11. Video: 6.1: Example of OLAE
  12. Video: Optional Review: Attitude Determination
  13. Video: Optional Review: Attitude Estimation Algorithms

Graded: Concept Check 1 - Attitude Determination
Graded: Concept Check 2 - TRIAD Method
Graded: Concept Check 3, 4 - Devenport's q-Method
Graded: Concept Check 5 - QUEST Method
Graded: Concept Check 6 - OLAE Method
Graded: Kinematics Final Assignment

Blijf op de hoogte van nieuwe ervaringen

Er zijn nog geen ervaringen.

Deel je ervaring

Heb je ervaring met deze cursus? Deel je ervaring en help anderen kiezen. Als dank voor de moeite doneert Springest € 1,- aan Stichting Edukans.

Er zijn nog geen veelgestelde vragen over dit product. Als je een vraag hebt, neem dan contact op met onze klantenservice.

Download gratis en vrijblijvend de informatiebrochure

Aanhef
(optioneel)
(optioneel)
(optioneel)
(optioneel)
(optioneel)

Heb je nog vragen?

(optioneel)
We slaan je gegevens op om je via e-mail en evt. telefoon verder te helpen.
Meer info vind je in ons privacybeleid.