Kinetics: Studying Spacecraft Motion from Coursera

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.

After this course, you will be able to...

*Derive from basic angular momentum formulation the rotational equations of motion and predict and determine torque-free motion equilibria and associated stabilities

* Develop equations of motion for a rigid body with multiple spinning components and derive and apply the gravity gradient torque

* Apply the static stability conditions of a dual-spinner configuration and predict changes as momentum exchange devices are introduced

* Derive equations of motion for systems in which various momentum exchange devices are present

Please note: this is an advanced course, best suited for working engineers or students with college-level knowledge in mathematics and physics.

What's inside

Syllabus

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.

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.

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.

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).

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Examines rigid body kinematics, gravity gradients, and momentum exchange, which are core concepts in spacecraft design

Develops equations of motion for rigid bodies, providing foundational knowledge for spacecraft dynamics

Teaches techniques to model torque-free motion, enabling the prediction of spacecraft behavior in the absence of external forces

Provides insights into the stability of dual-spinner configurations, which are critical for spacecraft attitude control

Covers equations of motion for systems with momentum exchange devices, expanding the applicability of the course to real-world spacecraft

Reviews summary

Spacecraft motion: well received

Learners say this challenging course in spacecraft dynamics is great, difficult, but very rewarding. Its engaging lectures are highly recommended for space enthusiasts, but beginners should note that it assumes learners have a strong background in physics and mathematics. Professor Schaub is described as a great, passionate instructor who teaches the material clearly and at a high level. However, some learners note that the lack of instructor assistance and typos in materials could be improved.

Professor Schaub's lectures are clear and engaging. They make the material easy to understand.

"The video was shot when the professor was in the classroom, teaching."

"And he not only explains the subject matter properly, he also cross questions some of his students giving you the feel of classroom itself."

"Explanation was subtle. I enjoyed studying this course."

The material in this course is challenging, but it is also very rewarding.

"Was very challenging. Brilliant course!"

"It's hard, but you learn a lot. Mr Schaub is great teacher."

"Great content. Difficult at times but hey! no pain, no gain !"

There are some typos in the course materials.

"it has been argued that there are quite a few typos in the answers, and I can also confirm this."

There is a lack of instructor assistance for this course.

"It would be good to have some optional references to achieve this basic knowledge."

"the main problem is the lack of assistence especially when doing exercise and the final exam."

This course assumes that learners have a strong background in physics and mathematics.

"The course is not that easy to follow if you don't have a good background in physics and mathematics."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Kinetics: Studying Spacecraft Motion with these activities:

Review Classical Mechanics

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Refresh the concepts of classical mechanics, including Newton's laws, energy and momentum conservation, and their relevance to the study of spacecraft dynamics.

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Review the basic concepts of classical mechanics.
Practice solving problems related to energy and momentum.

Review Linear Algebra

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Refresher on linear algebra to strengthen understanding of vector and matrix operations, matrices transformations, and their significance in spacecraft dynamics.

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Review matrix operations and matrix theory.
Practice solving systems of linear equations.
Refresh your understanding of eigenvalues and eigenvectors.

Set up Rigid Body Dynamics and Coordinate Frames

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Establish a foundation in rigid body dynamics and coordinate frames to create a solid base for the course material.

Browse courses on Rigid Body Dynamics

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Review the principles of rigid body dynamics.
Practice defining coordinate frames and transforming between them.

Five other activities

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Identify Mentors in Spacecraft Dynamics

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Seek out individuals with expertise in spacecraft dynamics who can provide guidance and support throughout your learning journey.

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Identify potential mentors through online platforms, conferences, and professional networks.
Reach out to potential mentors and express your interest in learning about spacecraft dynamics.
Establish regular meetings or communication channels to receive guidance and feedback.

Determine Torque-Free Motion Equilibria

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Solidify your understanding of torque-free motion and practice identifying equilibria and their stability.

Browse courses on Angular Momentum

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Derive the rotational equations of motion from angular momentum formulation.
Solve for torque-free motion equilibria.
Analyze the stability of equilibria using linearization.

Discuss Gravity Gradient Effects on Spacecraft

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Participate in peer discussions to explore the effects of gravity gradients on spacecraft and develop strategies to mitigate their impact.

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Present your understanding of gravity gradients and their effects on spacecraft.
Engage in discussions with peers to exchange knowledge and insights.
Collaborate to develop methods to compensate for gravity gradient disturbances.

Develop an Infographic on Momentum Exchange Devices

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Create a visually appealing infographic that summarizes the different types of momentum exchange devices used in spacecraft and their applications.

Browse courses on Momentum Exchange Devices

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Gather information and research different momentum exchange devices.
Design and create a visually appealing infographic.
Share your infographic with others and discuss its implications.

Simulate Dual-Spinner System Dynamics

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Apply your knowledge of dual-spinner system dynamics to create a simulation that demonstrates their stability and control.

Browse courses on Momentum Exchange Devices

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Develop the equations of motion for a dual-spinner system.
Implement a simulation to model the system's dynamics.
Analyze the simulation results and discuss the stability and control of the system.

Career center

Learners who complete Kinetics: Studying Spacecraft Motion will develop knowledge and skills that may be useful to these careers:

Aerospace Engineer

An Aerospace Engineer designs, develops, and tests aircraft, spacecraft, and missiles. The principles of spacecraft motion come into play every time a spacecraft is launched into orbit, maneuvers in space, or returns to Earth. This course provides a solid foundation in the dynamics and control of spacecraft, which is essential for anyone who wants to work in the aerospace industry.

See salaries and explore the career path for Aerospace Engineer

Control Systems Engineer

A Control Systems Engineer designs, builds, and tests control systems. This course provides a strong foundation in the dynamics and control of rigid bodies, which is essential for anyone who wants to work in the field of control systems engineering. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of control systems.

See salaries and explore the career path for Control Systems Engineer

Mechanical Engineer

A Mechanical Engineer designs, builds, and tests mechanical systems. This course provides a strong foundation in the dynamics and control of rigid bodies, which is essential for anyone who wants to work in the field of mechanical engineering. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of mechanical systems.

See salaries and explore the career path for Mechanical Engineer

Systems Engineer

A Systems Engineer designs, builds, and tests complex systems. This course provides a strong foundation in the dynamics and control of rigid bodies, which is essential for anyone who wants to work in the field of systems engineering. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of complex systems.

See salaries and explore the career path for Systems Engineer

Robotics Engineer

A Robotics Engineer designs, builds, and tests robots. This course provides a strong foundation in the dynamics and control of rigid bodies, which is essential for anyone who wants to work in the field of robotics. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of robots.

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Orbital Analyst

An Orbital Analyst tracks and predicts the orbits of spacecraft. This course provides a strong foundation in the dynamics and control of spacecraft, which is essential for anyone who wants to work in the field of orbital analysis. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the tracking and prediction of spacecraft orbits.

See salaries and explore the career path for Orbital Analyst

Propulsion Engineer

A Propulsion Engineer designs, builds, and tests propulsion systems. This course provides a strong foundation in the dynamics and control of spacecraft, which is essential for anyone who wants to work in the field of propulsion engineering. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of propulsion systems.

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Satellite Communications Engineer

A Satellite Communications Engineer designs, builds, and tests satellite communications systems. This course provides a strong foundation in the dynamics and control of spacecraft, which is essential for anyone who wants to work in the field of satellite communications engineering. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of satellite communications systems.

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Spacecraft Operations Engineer

A Spacecraft Operations Engineer operates and maintains spacecraft. This course provides a strong foundation in the dynamics and control of spacecraft, which is essential for anyone who wants to work in the field of spacecraft operations. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the operation and maintenance of spacecraft.

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Materials Scientist

A Materials Scientist develops and tests new materials. This course may be useful for anyone who wants to work in the field of materials science, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the development and testing of new materials.

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Computer Engineer

A Computer Engineer designs, builds, and tests computer systems. This course may be useful for anyone who wants to work in the field of computer engineering, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of computer systems.

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Structural Engineer

A Structural Engineer designs, builds, and tests structures. This course may be useful for anyone who wants to work in the field of structural engineering, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of structures.

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Electrical Engineer

An Electrical Engineer designs, builds, and tests electrical systems. This course may be useful for anyone who wants to work in the field of electrical engineering, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of electrical systems.

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Chemical Engineer

A Chemical Engineer designs, builds, and tests chemical processes. This course may be useful for anyone who wants to work in the field of chemical engineering, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and control of chemical processes.

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Software Engineer

A Software Engineer designs, develops, and tests software. This course may be useful for anyone who wants to work in the field of software engineering, as it provides a strong foundation in the dynamics and control of rigid bodies. In particular, the course covers topics such as torque-free motion, gravity gradients, and equations of motion with momentum exchange devices, which are all relevant to the design and development of software systems.

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