FACULTY OF ENGINEERING
Department of Aerospace Engineering
SOCIAL MEDIA
AE 424 | Course Introduction and Application Information
| Course Name |
Special Topics in Astrophysics and Orbital Mechanics
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|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
AE 424
|
Fall/Spring
|
3
|
0
|
3
|
5
|
| Prerequisites |
None
|
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| Course Language |
English
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| Course Type |
Elective
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| Course Level |
First Cycle
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| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | - | |||||
| Course Objectives | The aim of this course is to explore a range of subjects of timely importance to astrophysics and orbital mechanics by means of high performance computing (HPC) approaches, especifically leveraging competitive features available in modern Fortran, as well as employing a broad suite of free open source software (FOSS) tools to explore complex astrophysical systems and to simulate and visualize results useful in the digital design and analysis of next generation spacecraft trajectories and operations. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | This course introduces the study of high performance computing for the analysis of complex astrophysical systems and realistic orbital mechanics problems dictated by next generation propulsion and navigation technologies. Simplifications typically introduced in introductory courses are removed and analysis is carried out on multiple length and time scales and involving the simultaneous interaction of various physical principles thus introducing the need for HPC with modern Fortran and representation of complex results with other FOSS tools. |
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Core Courses | |
| Major Area Courses |
X
|
|
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Introduction to the gravitational N-body problem, analytical 2-body solution, Kepler equation, applications to spacecraft trajectory, solar system dynamics, binary stars, galaxies | R. Bate et al., Fundamentals of Astrodynamics (Dover Publ., New York, 1971). ISBN: 0486600610. J. Binney and S. Tremaine, Galactic Dynamics (Princeton Univ. Press, Princeton, 1987). ISBN: 0-691-08444-0. H. Goldstein, C. Poole, and J. Safko, Classical Mechanics (Addison-Wesley, San Francisco, 2002). |
| 2 | Perturbed 2-body problem and solvable cases of the full 3-body problem. Numerical approaches: symplectic and adaptive algorithms. | R. Bate et al., Fundamentals of Astrodynamics (Dover Publ., New York, 1971). ISBN: 0486600610. P.J. Teuben, The Stellar Dynamics Toolbox NEMO, Astronomical Data Analysis Software and Systems IV, PASP Conf Series 77, 398, (1995). |
| 3 | Introduction to Modern Fortran. FOSS tools review: CygWin, Jupyter, gnuplot, Sage, gfortran. LaTeX. Applications to the N-body problem (N>>1). History, strategies, and parallelization. | Janet A. Nicholson, Introduction to Programming using Fortran 95 (2011). (electronic document). W. H. Press et al., Numerical Recipes in Fortran, FORTRAN 77 and Fortran 90, (Cambridge University Press, Cambridge). ISBN: 0-521-43064-X. |
| 4 | Project 1: student presentations | |
| 5 | Analytical solutions of the polytropic models. Emden-Lane equation. King’s models and globular clusters. Gravitational and atomic charge potential models. | J. Binney and S. Tremaine, Galactic Dynamics (Princeton Univ. Press, Princeton, 1987). ISBN: 0-691-08444-0. S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Butterworth-Heinemann, Oxford, 2002). ISBN: 0-08-029140-6. |
| 6 | Star formation and structure. Numerical solutions of equilibrium stellar structure. Equations of state. Relativistic astrophysics. White dwarfs, neutron stars. | E. Brown, Stellar Astrophysics (Open Astrophysics Bookshelf, 2021). (git version6f0150ea). S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162. S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, Inc., New York, 1972). ISBN: 0471925675. |
| 7 | Numerical solutions of dynamical stellar structure. Variable stars, structural instabilities, novae and supernovae. | S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162. |
| 8 | Project 2: student presentations | |
| 9 | Spacecraft trajectory optimization: low thrust missions. | J. Aziz et al., Low-Thrust Many-Revolution Trajectory Optimization via Differential Dynamic Programming and a Sundman Transformation, J. of Astronaut. Sci., 65, 205-228 (2018). O. Golan et al., Minimum Fuel Lunar Trajectories for a Low-Thrust Power-Limited Spacecraft, Dynamics and Control, 4, 383-394 (1994). |
| 10 | Autonomous spacecraft navigation and Kalman filters | M. Rhudy, A Kalman filtering tutorial for undegraduate students, International Journal of Computer Science & Engineering Technology (IJCSET), 8, 1-18 (2018). R. Faragher, Understanding the Basis of the Kalman Filter Via a Simple and Intuitive Derivation, IEEE Signal Processing Magazine, 29, 128-132 (2012). |
| 11 | Autonomous landing | Z. Bojun, High-Precision Adaptive Predictive Entry Guidance for Vertical Rocket Landing, Journal of Spacecraft and Rockets, 56, 1735-1741 (2019). L. Ocampo, Solving the optimization control problem for lunar soft landing using minimization technique, University of Texas, 2013. |
| 12 | Project 3: student presentations | |
| 13 | General relativistic spacecraft trajectories, trajectories in the Schwarzschild and Kerr metrics, Post-Newtonian approximations. | S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, Inc., New York, 1972). ISBN: 0471925675. |
| 14 | Interstellar travel: relativistic navigation technologies, artificial intelligence, and simulations. | C. Bayler-Jones, Lost in space? Relativistic interstellar navigation using an astrometric star catalogue, ArXiv:2103.10389v1 (2021). I. Crawford, “Direct Exoplanet Investigation using Interstellar Space Probes,” The Handbook of Exoplanets (Springer International Publishing, 2018). ISBN: 978-3-319-55333-7. |
| 15 | Review of the Semester | |
| 16 | Final Exam |
| Course Notes/Textbooks |
|
| Suggested Readings/Materials |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project |
3
|
60
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm | ||
| Final Exam |
1
|
40
|
| Total |
| Weighting of Semester Activities on the Final Grade |
3
|
60
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
3
|
14
|
42
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
0
|
||
| Final Exam |
1
|
18
|
18
|
| Total |
150
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To have theoretical and practical knowledge that have been acquired in the area of Mathematics, Natural Sciences, and Aerospace Engineering. |
X | ||||
| 2 | To be able to assess, analyze and solve problems by using the scientific methods in the area of Aerospace Engineering. |
X | ||||
| 3 | To be able to design a complex system, process or product under realistic limitations and requirements by using modern design techniques. |
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| 4 | To be able to develop, select and use novel tools and techniques required in the area of Aerospace Engineering. |
X | ||||
| 5 | To be able to design and conduct experiments, gather data, analyze and interpret results. |
X | ||||
| 6 | To be able to develop communication skills, ad working ability in multidisciplinary teams. |
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| 7 | To be able to communicate effectively in verbal and written Turkish; writing and understanding reports, preparing design and production reports, making effective presentations, giving and receiving clear and understandable instructions. |
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| 8 | To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Aerospace Engineering solutions. |
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| 9 | To be aware of professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. |
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| 10 | To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. |
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| 11 | To be able to collect data in the area of Aerospace Engineering, and to be able to communicate with colleagues in a foreign language (‘‘European Language Portfolio Global Scale’’, Level B1). |
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| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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| 13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Aerospace Engineering. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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