Ross Dynamics Lab Courses

Kalman Filter for Beginners - Recursive Filters & MATLAB Examples

2 reviews

Explore recursive filters, including average, moving average, and low-pass filters, with practical MATLAB examples. Learn the foundations of Kalman filtering for enhanced estimation and data analysis skills.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

2 reviews

Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Lagrangian Coherent Structures Introduction

Explore Lagrangian coherent structures in fluid flows, revealing particle transport patterns. Learn theoretical foundations and applications in fluid mechanics, with insights on reduced order modeling.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Gravity Gradient - Stability Conditions, Frequencies, Torque Equilibrium Angle, Space Station

Explore gravity gradient effects on spacecraft stability, including Euler equations, pitch stability, torque equilibrium angles, and applications to the International Space Station.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Dual-Spin Spacecraft - Instability of Intermediate and Minimum Principal Axes for Free Rigid Bodies

Explore dual-spin spacecraft stabilization, intermediate axis instability, and long-term minimum axis instability. Learn about historical space missions and passive attitude stability techniques.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Euler's Equations of Rigid Body Dynamics Derived - Qualitative Analysis - Build Rigid Body Intuition

Comprehensive exploration of Euler's equations for rigid body dynamics, covering derivation, analysis, and practical applications through various examples like spinning tops and fidget spinners.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Center of Mass and Moment of Inertia Matrix - Example Calculations

Example calculations for center of mass and moment of inertia matrix in space vehicle dynamics. Covers planar rigid bodies, composite shapes, and practical applications using integrals and common approximation methods.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Moment of Inertia Matrix and Principal Axis Frame - MATLAB Example Calculation

Explore moment of inertia matrix calculation, principal axis frame, and their significance in rigid body dynamics. Includes MATLAB demonstration for practical application in spacecraft attitude control.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Euler Angle Simulation with MATLAB - Integrating the Rotational Kinematic Differential Equations

Simulate rigid body orientation using Euler angles and MATLAB. Learn to integrate kinematic differential equations, visualize results, and explore alternative attitude coordinates like quaternions.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Quaternions for Rotation, Axis-Angle, Euler Parameters - MATLAB Examples - Rodrigues Rotation Formula

Explore quaternions, axis-angle representation, and Euler parameters for 3D rotations. Learn to calculate and convert between different rotation formats using MATLAB examples and tutorials.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples

Explore Hamilton-Jacobi theory for optimal canonical transformations in Hamiltonian systems. Learn to solve the Hamilton-Jacobi equation and apply it to oscillators and central force problems.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Worked Example of 2 Particle System - MATLAB Tutorial - Implications of Energy and Momentum Conservation

Detailed analysis of a two-particle spring system, exploring conservation laws and using MATLAB to solve complex dynamics problems in space vehicle motion.

• YouTube
• 1 hour
• On-Demand
• Free Video

Generating Function of a Canonical Transformation - Examples and the Big Picture

Explore generating functions for canonical transformations in Hamiltonian systems. Learn about harmonic oscillator examples, near-identity transformations, and connections to quantum mechanics and gauge invariance.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Kinetic Energy - Where Does It Come From? - Linear and Angular Momentum - Worked Examples

Explore kinetic energy, linear and angular momentum, and their applications in space vehicle dynamics. Gain insights into energy conservation, pendulum motion, and momentum rate equations.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

Explore variational principles in mechanics, including the Principle of Least Action and Lagrange's equations. Learn calculus of variations techniques and their applications in physics and engineering problems.

• YouTube
• 59 minutes
• On-Demand
• Free Video