Lecture Notes | Dynamics | Aeronautics and Astronautics | MIT OpenCourseWare

Lecture Notes

Inertial Instruments and Inertial Navigation

Some Dynamics and Control Challenges that occurred during the Apollo Project

Lecture L1 – Introduction

Lecture L2 – Degrees of Freedom and Constraints, Rectilinear Motion

Lecture L3 – Vectors, Matrices and Coordinate Transformations

Lecture L4 – Curvilinear Motion. Cartesian Coordinates

Lecture L5 – Other Coordinate Systems

Lecture L6 – Intrinsic Coordinates

Lecture L7 – Relative Motion using Translating Axes

Lecture L8 – Relative Motion using Rotating Axes

Lecture L9 – Linear Impulse and Momentum. Collisions

Lecture L10 – Angular Impulse and Momentum for a Particle

Lecture L11 – Conservation Laws for Systems of Particles

Lecture L12 – Work and Energy

Lecture L13 – Conservative Internal Forces and Potential Energy

Lecture L14 – Variable Mass Systems: The Rocket Equation

Lecture L15 – Central Force Motion: Kepler's Laws

Lecture L16 – Central Force Motion: Orbits

Lecture L17 – Orbit Transfers and Interplanetary Trajectories

Lecture L18 – Exploring the Neighborhood: the Restricted Three-Body Problem

Lecture L19 – Vibration, Normal Modes, Natural Frequencies, Instability

Lecture L20 – Energy Methods: Lagrange’s Equations

Lecture L21 – 2D Rigid Body Dynamics

Lecture L22 – 2D Rigid Body Dynamics: Work and Energy

Lecture L23 – 2D Rigid Body Dynamics: Impulse and Momentum

Lecture L24 – Pendulums

Lecture L25 – 3D Rigid Body Kinematics

Lecture L26 – 3D Rigid Body Dynamics: The Inertia Tensor

Lecture L27 – 3D Rigid Body Dynamics: Kinetic Energy; Instability; Equations of Motion

Lecture L28 – 3D Rigid Body Dynamics: Equations of Motion; Euler’s Equations

Lecture L29 – 3D Rigid Body Dynamics

Lecture L30 – 3D Rigid Body Dynamics: Tops and Gyroscopes

Course Info

Instructors

Departments

Aeronautics and Astronautics

As Taught In

Fall 2009

Level

Undergraduate

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Lecture Notes

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