Ross Dynamics Lab Courses

Kalman Filter for Beginners - Recursive Filters & MATLAB Examples

4 ratings

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
• Self-Paced
• Free Video

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

2 ratings

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
• Self-Paced
• Free Video

Earth-Moon-Spacecraft 3-Body Orbital Motion in Cislunar Space

Explore orbital dynamics in cislunar space using the restricted 3-body model. Learn about Lagrange points, periodic orbits, and manifolds with MATLAB demonstrations and real-world applications.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Caber Toss Physics Analysis

Explore the physics behind the iconic Scottish caber toss using rigid body mechanics and energy analysis. Gain insights into sports biomechanics and analytical dynamics.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Halo Orbits in Three-Body Problem - Theory and MATLAB Computation - Topic 16

Delve into the mathematical theory and computation of halo orbits in three-body systems, exploring real-world applications like the James Webb Telescope's orbit and implementing solutions using MATLAB.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Trajectories with Prescribed Itineraries in the Three-Body Problem - MATLAB Tutorial

Learn to generate trajectories with prescribed itineraries in the planar CR3BP using numerical methods. Includes MATLAB tutorial for computing periodic orbits, invariant manifolds, and Poincaré sections.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Earth-Moon Multi-Orbiter Cyclers - New Solutions to the Three-Body Problem

Discover stable multi-orbiter cyclers that allow spacecraft to alternately orbit Earth and Moon without propulsion, revealing new solutions to the three-body problem.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Cislunar Space - 3-Body Model of Orbital Dynamics Beyond the Geosynchronous Belt

Explore orbital dynamics beyond geosynchronous orbit using the 3-body model. Learn about Lagrange points, manifolds, and resonances in cislunar space, with practical MATLAB exercises and real-world applications.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video