This course is part 2 of the specialization Advanced Spacecraft Dynamics and Control. It assumes you have a strong foundation in spacecraft dynamics and control, including particle dynamics, rotating frame, rigid body kinematics and kinetics. The focus of the course is to understand key analytical mechanics methodologies to develop equations of motion in an algebraically efficient manner. The course starts by first developing D’Alembert’s principle and how the associated virtual work and virtual displacement concepts allows us to ignore non-working force terms. Unconstrained systems and holonomic constrains are investigated. Next Kane's equations and the virtual power form of D'Alembert's equations are briefly reviewed for particles.
Analytical Mechanics for Spacecraft Dynamics
This course is part of Advanced Spacecraft Dynamics and Control Specialization
Instructor: Hanspeter Schaub
Included with
Recommended experience
What you'll learn
Use virtual work methods to develop equations of motion of mechanical systems.
Understand how to use Lagrange multipliers to study constrained dynamical systems.
Be able to derive the equations of motion of a spacecraft with flexible sub-components.
Skills you'll gain
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There are 3 modules in this course
Learn the methodology of developing equations of motion using D'Alembert's principle, virtual power forms, Lagrange's equations as well as the Boltzmann-Hamel equations. These methods allow for more efficient equations of motion development where state based (holonomic) and rate based (Pfaffian constraints) are considered.
What's included
24 videos10 quizzes
Derive methods to develop the equations of motion of a dynamical system with finite degrees of freedom based on energy expressions.
What's included
19 videos6 quizzes
Learn to develop the equations of motion for a dynamical system with deformable shapes. Such systems have infinite degrees of freedom and lead to partial differential equations.
What's included
21 videos7 quizzes
Instructor
Offered by
Recommended if you're interested in Physics and Astronomy
University of Colorado Boulder
Johns Hopkins University
Google Cloud
Google Cloud
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Frequently asked questions
This course does stand on its on. It is still recommended that you have a strong foundation in particle dynamics, rotating frames, rigid body kinematics, etc.
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.