Orbital Dynamics
Objectives
1. To understand the characteristics of orbits that are commonly used by satellites
2. Detailed knowledge of the problem involving two bodies.
3. Calculation of orbital parameters of satellites.
4. Estimating perturbations that may be encountered in orbit.
5. Layout of manoeuvres in order to precisely and successfully accomplish a modification of orbit.
6. Elaboration of interplanetary trajectories.
General characterization
Code
13143
Credits
6.0
Responsible teacher
António Carlos Simões Paiva
Hours
Weekly - 5
Total - 28
Teaching language
Português
Prerequisites
Admittance to the Master in Aerospace Engineering
Mathematical Analysis
Classical Physics
Bibliography
Readings
The main reference for the course is:
Howard D. Curtis, Orbital Mechanics, 4th ed. Elsevier Ltd., Amsterdam, 2020. ISBN: 978-0128240250.
References
The following books are also recommended as additional resources:
R.R. Bate, D.D. Mueller, J.E. White, Fundamentals of Astrodynamics, 2nd ed. Dover Publications, New York, 2020. ISBN: 978-0486497044.
John M. A. Danby. Fundamentals of Celestial Mechanics, 2nd ed. Brooks Cole, New York, 2003. ISBN: 0-943396204.
Kleppner, Daniel, and Robert Kolenkow, An Introduction to Mechanics, 2nd ed. Cambridge University Press, Cambridge, New York, NY: McGraw-Hill, 2013. ISBN: 978-0521198219.
Teaching method
The course is organized in lectures where the theory is presented and problems are discussed with the instructor.
Evaluation method
Evaluation
There will be two midterm evaluation tests and a MatLab project.
Another option is a final examination.
Grading
0.4 for Midterm1 and 0.6 for Midterm2.
Alternatively,
0.4 for Midterm1, 0.4 for Midterm2 and 0.2 for MatLab.
Students must score minimum of 10 out of 20 to have success.
Subject matter
1 DYNAMICS OF PARTICLES
1.1 Mathematical Preliminaries
1.2 Newton´s Laws
2 ORBITAL DYNAMICS
2.1 Two-Body Problem
2.2 Kepler´s Time Equation
2.3 Three-Body-Problem
3 ORBITAL MANEUVERS
3.1 Launch Vehicle Trajectories
3.2 Hohmann Transfer
3.3 Interplanetary Flight
3.4 Orbital Rendezvous
4 ATTITUDE DYNAMICS
4.1 Rotational Kinematics
4.2 Rigid-Body Dynamics
4.3 Rotational Maneuvers