## Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

## Instructors

Prof. Jonathan P. How

Prof. John Deyst

## Course Objectives

- Review of the basic Newtonian dynamics
- Focus on 3D motion
- Gyroscopic and rotational dynamics
- Formal approaches for handling coordinate transformations

- Lagrangian formulation of the equations of motion
- Analysis of aircraft flight dynamics and stability
- Analysis of spacecraft attitude dynamics

## Administrative

- Review of Newtonian dynamics ≈ 6 lectures
- Lagrangian dynamics ≈ 6 lectures
- Rigid body motions in 3D ≈ 6 lectures
- Aircraft/spacecraft dynamics ≈ 6 lectures
- Midterm exam #1 in class (1 hour) after Lecture 6 (15%)
- Midterm exam #2 in class (1 hour) after Lecture 14 (20%)
- Final exam at the end of the semester (30%)
- Homework - Out Thursdays, due following Thursday at beginning of class (35%). Hand-in during class or drop-off at my office.
- Collaboration: You can discuss problems with others, but you are expected to write up and hand in your own work.
- You will definitely need access to MATLAB
^{®}

## Textbooks

None required. Lecture notes will be handed out in class. But various books available for reference are:

- Meriam and Kraige.
*Engineering Mechanics - Dynamics.*Wiley, 2001. - Hibbeler.
*Engineering Mechanics - Statics and Dynamics.*Prentice Hall. - Beer and Johnston.
*Vector Mechanics for Engineers*. McGraw-Hill. - Greenwood.
*Principles of Dynamics*. 2nd ed. Prentice Hall [RB dynamics]. - Williams, Jr.
*Fundamentals of Applied Dynamics.*Wiley, 1996. - Baruh.
*Analytical Dynamics.*McGraw Hill [fairly advanced]. - Wells.
*Schaum’s Outline of Lagrangian Dynamics.*McGraw-Hill, 1967. - Goldstein.
*Classical Mechanics.*2nd ed. Addison Wesley [very advanced].

## Learning Objectives for Students Graduating from 16.61 will be Able to:

- Use methods of vector kinematics to analyze the translation and rotation of rigid bodies - and explain with appropriate visualizations.
- Identify appropriate coordinate frames and calculate the transformations between them.
- Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
- Use the basic equations of motion to calculate the fundamental flight modes of an aircraft.
- Use the basic equations of motion to calculate the attitude motions of a low Earth orbit spacecraft.

## Measurable Outcomes for Students Graduating from 16.61 will be Able to:

- Derive the equations of motion in accelerating and rotating frames.
- Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
- Simulate and predict complex dynamic behavior of vehicles such as projectiles, aircraft, and spacecraft.
- Use MATLAB as a tool for matrix manipulations and dynamic simulation.
- Linearize the 6DOF motions associated with most dynamic behavior to establish the basic
**modes**of the motion.