University of Colorado Boulder - Kinetics: Studying Spacecraft Motion 

Kinetics: Course Introduction

Module 1 Introduction

Overview of Kinetics

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

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

Concept Check 1 - Super Particle Theorem

Concept Check 2 - Kinetic Energy

Concept Check 3 - Linear Momentum

Concept Check 4 - Angular Momentum

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

Torque Free Motion

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

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

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

Concept Check 7 - Dual Spinner Equations of Motion

Concept Check 8 - Dual Spinner Equilibria

Concept Check 9 - Dual Spinner Linear Stability

Gravity Gradients

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

Concept Check 1 - Gravity Gradient Derivation

Concept Check 2 - Gravity Gradient Equilibria

Concept Check 3 - Gravity Gradient Linear Stability

Equations of Motion with Momentum Exchange Devices

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

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