# SPACE DYNAMICS AND MISSIONS - 2022/3

Module code: EEE3039

## Module Overview

Expected prior learning:  It is helpful, but not essential, to have studied module EEE2043 – Space Engineering and Mission Design (5-spe), or to have equivalent learning.

Module purpose:  This module gives a hands on approach to mission analysis and develops mathematical descriptions of the natural orbital and rotational motions of spacecraft.  Material is delivered through a series of lectures, group problem solving and assessed assignments. The application to mission design is explored through group work and coding assignments.

### Module provider

Computer Science and Electronic Eng

BARESI Nicola (Elec Elec En)

### Module cap (Maximum number of students): N/A

Independent Learning Hours: 89

Lecture Hours: 10

Tutorial Hours: 11

Laboratory Hours: 10

Guided Learning: 10

Captured Content: 20

Semester 1

None.

## Module content

Kinematics & Kinetics:

Newton's laws of inertia; Inertial and Rotating Frames; Transport Theorem; Euler, Coriolis, and Centrifugal accelerations; Inertial VS Rotating Vectors.

Satellite Orbits:

Kepler’s laws and Newton’s derivation of Keplerian orbits. Energy and angular momentum related to orbital geometry. Velocity and mission planning. Time along orbit – Kepler’s problem, mean and eccentric anomalies. Orbits in 3D, orbital elements. Orbital perturbations – sun synchronous and Molniya orbits. Critical inclination and frozen orbit.

Coordinate Systems and Time:

Equinoxes, solstices, first point of Aries, ECI frame. The obliquity of the ecliptic, Precession and nutation of Earth. Solar and sidereal time, fictitious Sun, universal time, GPS time and TAI. Julian date and MJD.

Mission Design:

Satellite groundtracks, repeat groundtrack orbits, Launch windows. Hohmann transfer and bi-elliptic transfers. Planetary flybys.

Attitude Coordinates:

Attitude matrix and properties; Euler’s theorem and eigenaxis description; vector decomposition; Euler angles and roll, pitch, yaw; Quaternions, quaternion product; Kinematic differential equations.

Dynamics of a Rigid Body:

Angular velocity, angular momentum, Moments of Inertia, principal axes, Euler’s equations, integrals of motion – rotational energy, total angular momentum. Motion of the angular momentum vector, torques. Polhode plots; Torque-free Motion for General and Axisymmetric Bodies; Gyroscopic Stiffness; Dual-Spin Spacecraft Configuration; Gravity Gradient

Modern Astrodynamics Topics:

The equations of the Circular Restricted Three-Body Problem; Jacobi integral and Zero-velocity curves. Introduction to equilibrium points and periodic orbits near Lagrangian points.

## Assessment pattern

Assessment type Unit of assessment Weighting
Coursework COURSEWORK 30
Examination Online 4HR ONLINE (OPEN BOOK) EXAM 70

## Alternative Assessment

Not applicable: students failing a unit of assessment resit the assessment in its original format.

## Assessment Strategy

The assessment strategy for this module is designed to provide students with the opportunity to demonstrate the learning outcomes. The written examination will assess the knowledge and assimilation of terminology and theory of orbital motion and spacecraft pointing. It will assess the ability to analyse problems by applying mathematical models to solve and predict disturbance effects and mitigation. The coding assignment will evaluate the students ability to program key astrodynamics concepts and put together a practical mission design solution.

Thus, the summative assessment for this module consists of the following.

·         4 hour open-book online written examination

·         Software assignment  An assignment involving the programming of and exploration of simple space flight mechanics concepts.  (max. 20 pages) due Tuesday Week 9 (assignment deadline should be checked in the Assignment Calendar)

Formative assessment and feedback

For the module, students will receive formative assessment/feedback in the following ways.

·         During lectures, by question and answer sessions

·         One to one discussions with lecturer during problem solving sessions

·         Peer feedback during group problem solving

·         Through guided learning on SurreyLearn through provided material and problem solutions

·         During supervised software laboratory sessions

·         Via marking of coursework report

## Module aims

• To introduce the student to develop a solid understanding of the classical dynamics of spacecraft and apply this knowledge in mission design for achieving pre-specified objectives and adequate pointing. This is to be achieved through a series of lectures, regular group problem solving with direct interaction with the lecturer and one software-based assignment.

## Learning outcomes

 Attributes Developed 001 Design and propagate orbits using orbit elements and Cartesian coordinates KCP 002 Select orbits most useful for space applications KCP 003 Model and propagate the rotational dynamics of a rigid spacecraft via attitude coordinates KCP

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

## Methods of Teaching / Learning

The learning and teaching strategy is designed to achieve the following aims.

The teaching strategy is through a taught theoretical foundation, interposed with direct group problem solving and with application of theory to real missions. A more significant mission design is worked on through software labs, where some aspects are looked at in greater depth. In all aspects there is direct interaction between lecturers and the groups to provide feedback on their understanding, and to push their understanding to solve new problems based on their knowledge.

Learning and teaching methods include the following.

Teaching and learning is by pre-recorded lectures, in-class discussion and problem solving sessions, and assessed software assignments. 2 hours pre-recorded lectures plus 2 hour problem solving and group discussion classes per week for 10 weeks. 1 hour assignment lab per week for 7 weeks, plus a one-off 3 hour software programming intro

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.