Buy Now AED 344.99 + VAT

Monthly Subscription Starting at AED 99 + VAT

Kinetics: Studying Spacecraft Motion
  • Level Expert
  • Duration 21 hours
  • Course by University of Colorado Boulder
  • Offered by

About

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.

Modules

Introduction to the Course and Kinetics Overview

    • 3 Videos
Show info about module content

3 Videos

  • Kinetics: Course Introduction
  • Module 1 Introduction
  • Overview of Kinetics

Continuous Systems

    • 5 Videos
    • 4 Assignment
Show info about module content

4 Assignment

  • Concept Check 1 - Super Particle Theorem
  • Concept Check 2 - Kinetic Energy
  • Concept Check 3 - Linear Momentum
  • Concept Check 4 - Angular Momentum

5 Videos

  • 1: Continuous System Super Particle Theorem
  • 2: Continuous System Kinetic Energy
  • 3: Continuous System Linear Momentum
  • 4: Continuous System Angular Momentum
  • Optional Review: Continuous Momentum and Energy Properties

Rigid Bodies

    • 11 Videos
    • 5 Assignment
Show info about module content

5 Assignment

  • Concept Check 5 - Rigid Body Angular Momentum
  • Concept Check 6 - Parallel Axis Theorem
  • Concept Check 6.1 - Coordinate Transformation
  • Concept Check 7 - Kinetic Energy
  • Concept Check 8 - Equations of Motion

11 Videos

  • 5: Rigid Body Angular Momentum
  • 6: Rigid Body Inertia Tensor
  • 6.1: Rigid Body Inertia about Alternate Points
  • 6.2: Rigid Body Inertia about Alternate Body Axes
  • 7: Rigid Body Kinetic Energy
  • 8: Rigid Body Equations of Motion
  • 8.1: Integrating Rigid Body Equations of Motion
  • 8.2 Example: Slender Rod Falling
  • (Tips for Solving Spring Particle Systems)
  • Optional Review: Rigid Body Properties
  • Optional Review: Rigid Body Equations of Motion

Torque Free Single Rigid Body

    • 11 Videos
    • 6 Assignment
Show info about module content

6 Assignment

  • Concept Check 1 - Rigid Body Polhode Plots
  • Concept Check 2 - Torque Free Motion with Axisymmetric Body
  • Concept Check 3 - Torque Free Motion General Inertia
  • Concept Check 4 - Torque Free Motion Integrals of Motion
  • Concept Check 5 - Torque Free Motion Phase Space Plots
  • Concept Check 6 - Torque Free Motion Precession

11 Videos

  • Module 2 Introduction
  • 1: Torque Free Motion Polhode Plots
  • 1.1 Example: Special Polhode Plots
  • 2: Torque Free Motion Axisymmetric Solution
  • 3: Torque Free Motion General Inertia Case
  • 4: Torque Free Motion Integrals of Motion
  • 5: Torque Free Motion Phase Space Plots
  • 5 Example: Phase Space Plots for Varying Energy Levels
  • 6: Torque Free Motion Attitude Precession
  • 6 Example: Phase Space Plot of Duffing Equation
  • Optional Review: Torque Free Motion

Torque Free Dual Spinners

    • 6 Videos
    • 3 Assignment
Show info about module content

3 Assignment

  • Concept Check 7 - Dual Spinner Equations of Motion
  • Concept Check 8 - Dual Spinner Equilibria
  • Concept Check 9 - Dual Spinner Linear Stability

6 Videos

  • 7: Dual Spinner Equations of Motion
  • 8: Dual Spinner Spin Equilibria
  • 9: Dual Spinner Linear Stability
  • 9 Example: Dual Spinner Stability
  • 9.1: Spin Up Considerations
  • Optional Review: Dual Spinner EOM and Equilibria

Gravity Gradients

    • 7 Videos
    • 3 Assignment
Show info about module content

3 Assignment

  • Concept Check 1 - Gravity Gradient Derivation
  • Concept Check 2 - Gravity Gradient Equilibria
  • Concept Check 3 - Gravity Gradient Linear Stability

7 Videos

  • Module 3 Introduction
  • 1: Gravity Gradient Torque Development
  • 1.1: Gravity Gradient Torque in Body Frame
  • 1.2: Gravity Gradient Net Spacecraft Force
  • 2: Gravity Gradient Relative Equilibria Orientations
  • 3: Gravity Gradient Linear Stability about Equilibria
  • Extra Example: Gravity Gradient Polar Pear Mission

Momentum Exchange Devices

    • 7 Videos
    • 4 Assignment
Show info about module content

4 Assignment

  • Concept Check 1 - Overview of Momentum Exchange Devices
  • Concept Check 2 - VSCMG Equations of Motion
  • Concept Check 3 - VSCMG Motor Torque Equations
  • Concept Check 4 - VSCMG EOM Variations

7 Videos

  • Module 4 Introduction
  • 1: Introduction to Momentum Exchange Devices
  • 1.2: Overview of Momentum Control Devices
  • 2: VSCMG Equations of Motion Development
  • 3: VSCMG Motor Torque Equations
  • 4: VSCMG EOM Variations
  • Optional Review of Momentum Exchange Devices

Kinetics Final Peer-Graded Assignment

    • 1 PeerReview
Show info about module content

1 Peer Review

  • Kinetics Final Assignment
Hanspeter Schaub
Instructor

Hanspeter Schaub