autumn 2019

## STE-3501 Classical Mechanics - 5 stp

## Admission requirements

To be applicable for the singel course you must qualify for the master program in Aerospace Control Engineering (Satellite Engineering), you must have a relevant undergraduate **bachelor in engineering, primarily within electronics or space technology, but it may also be within related fields such as automatic control, communications, power electronics or computer science.** You must however have a sufficient background in electronics and communications.

There is also a requirement of 30 points with preliminaries in mathematics/statistics, equivalent to the Norwegian courses Mathematics 1, 2, and 3, as well as Statistics.

Knowledge in Physics (7,5 - 10 ects) on a higher level is recommended to be able to follow different courses on the master programme. Some of the courses in the bachelor programme have a certain amount of physics included and can be accepted.

## Course contents

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

**Kinematics:** Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

**Dynamics:** Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

**Fluid dynamics:** density, pressure, viscosity, compressibility, fluid flow, bernoulli's equation.

## Objective of the course

**After subject has been passed the students should have acquired the following learning results:**

**Knowledge and understanding:**

The candidate:

- has knowledge on how to model rigid bodies by accounting for forces and moments acting on them.
- has knowledge on the most important parameterization of rotations.
- has knowledge on the principles for use of Newton-Euler equations of motion.

**Skills:**

The candidate:

- is able to apply their knowledge of classical mechanics to solve concrete problems.
- is able to differentiate vectors in inertial and non-inertial coordinate reference frames.
- is able to derive models for rigid-bodies through the use of Newton's laws of motion and Lagrangian formulations.

**General competences:**

The candidate should be able to solve theoretical problems related to the kinematics and dynamics of rigid-bodies and should be able to solve simple fluid mechanics problems.

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

**Kinematics:** Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

**Dynamics:** Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

**Fluid dynamics:** density, pressure, viscosity, compressibility, fluid flow, bernoulli's equation.